{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 网络科学理论\n", "\n", "***\n", "***\n", "# 网络科学简介\n", "***\n", "***\n", "\n", "王成军 \n", "\n", "wangchengjun@nju.edu.cn\n", "\n", "计算传播网 http://computational-communication.com" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# FROM SADDAM HUSSEIN TO NETWORK THEORY \n", "### A SIMPLE STORY (1) The fate of Saddam and network science\n", "\n", "- SADDAM HUSSEIN: the fifth President of **Iraq**, serving in this capacity from 16 July 1979 until 9 April **2003**\n", "- Invasion that started in March 19, 2003. Many of the regime's high ranking officials, including Saddam Hussein, avoided capture. \n", "- Hussein was last spotted kissing a baby in Baghdad in April 2003, and then his trace went cold. \n", "\n", "- Designed a deck of cards, each card engraved with the images of the 55 most wanted. \n", " - It worked: by May 1, 2003, 15 men on the cards were captured, and by the end of the month another 12 were under custody. \n", " - Yet, the ace of spades, i.e. Hussein himself, remained at large.\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# The capture of Saddam Hussein\n", "\n", "- shows the strong **predictive power** of networks. \n", "\n", "- underlies the need to obtain **accurate maps of the networks** we aim to study; \n", "- and the often heroic **difficulties of the mapping** process.\n", "\n", "- demonstrates the remarkable **stability of these networks**\n", " - The capture of Hussein was not based on fresh intelligence\n", " - but rather on his **pre-invasion social links**, unearthed from old photos stacked in his family album.\n", "\n", "- shows that the choice of network we focus on makes a huge difference: \n", " - the **hierarchical tree** captured the official organization of the Iraqi government, \n", " - was of no use when it came to Saddam Hussein's whereabouts. \n" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-05-20T19:50:48.430148", "start_time": "2017-05-20T19:50:48.418809" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## How about Osama bin Laden?\n", "\n", "- the founder of al-Qaeda, the organization that claimed responsibility for the September 11 attacks on the United States.\n", "\n", "> 2005年9月1日,中情局内部关于猎杀本·拉登任务的布告栏上贴出了如下信息:由于关押囚犯的强化刑讯已经没有任何意义,“我们只能继续跟踪科威特”。`中情局自此开始了对科威特长达数年的跟踪,最终成功窃听到了他本·拉登之间的移动电话,从确定了他的位置并顺藤摸瓜找到了本·拉登在巴基斯坦的豪宅`,再经过9个月的证实、部署,于2011年5月1日由海豹突击队发动突袭、击毙本·拉登。" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# A SIMPLE STORY (2): August 15, 2003 blackout.\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# VULNERABILITY \n", "DUE TO INTERCONNECTIVITY \n", "\n", "- The 2003 blackout is a typical example of a cascading failure. \n", "- 1997, when the International Monetary Fund pressured the central banks of several Pacific nations to limit their credit. \n", "- 2009-2011 financial melt-down" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "An important theme of this class: \n", "\n", "- we must understand **how network structure affects the robustness of a complex system**. \n", "\n", "- develop quantitative tools to assess the interplay between network structure and the dynamical processes on the networks, and their impact on failures. \n", "\n", "- We will learn that failures reality failures follow reproducible laws, that can be quantified and even predicted using the tools of network science.\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "NETWORKS AT THE HEART OF \n", "# COMPLEX SYSTEMS \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Complex\n", "\n", "[adj., v. kuh m-pleks, kom-pleks; n. kom-pleks] \n", "–adjective \n", "- composed of many interconnected parts; compound; composite: a complex highway system. \n", "- characterized by a very complicated or involved arrangement of parts, units, etc.: complex machinery. \n", "- so complicated or intricate as to be hard to understand or deal with: a complex problem. \n", "\t\t\t\tSource: Dictionary.com\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "# Complexity\n", "\n", "a scientific theory which asserts that some systems display behavioral phenomena that are completely inexplicable by any conventional analysis of the systems’ constituent parts. These phenomena, commonly referred to as emergent behaviour, seem to occur in many complex systems involving living organisms, such as a stock market or the human brain.\n", " \n", "Source: John L. Casti, Encyclopædia Britannica\n", " \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# COMPLEX SYSTEMS\n", "\n", "- society\n", "- brain\n", "- market\n", "- cell\n", "\n", "## Stephen Hawking: I think the next century will be the century of complexity. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Behind each complex system there is a network, that defines the interactions between the component. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "- Social graph\n", "- Organization\n", "- Brain\n", "- finantial network\n", "- business \n", "- Internet\n", "- Genes" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "Behind each system studied in complexity there is an intricate wiring diagram, or a network, that defines the interactions between the component.   \n", "\n", "# We will never understand complex system unless we map out and understand the networks behind them.\n", "  \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# TWO FORCES HELPED THE EMERGENCE OF NETWORK SCIENCE \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# THE HISTORY OF NETWORK ANALYSIS\n", "\n", "- Graph theory: 1735, Euler\n", "\n", "- Social Network Research: 1930s, Moreno\n", "\n", "- Communication networks/internet: 1960s\n", "\n", "- Ecological Networks: May, 1979.\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "While the study of networks has a long history from graph theory to sociology, **the modern chapter of network science emerged only during the first decade of the 21st century, following the publication of two seminal papers in 1998 and 1999**. \n", "\n", "The explosive interest in network science is well documented by the citation pattern of two classic network papers, the 1959 paper by Paul Erdos and Alfréd Rényi that marks the beginning of the study of random networks in graph theory [4] and the 1973 paper by Mark Granovetter, the most cited social network paper [5]. \n", "\n", "Both papers were hardly or only moderately cited before 2000. The explosive growth of citations to these papers in the 21st century documents the emergence of network science, drawing a new, interdisciplinary audience to these classic publications. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# THE EMERGENCE OF NETWORK SCIENCE\n", "- Movie Actor Network, 1998;\n", "- World Wide Web, 1999.\n", "- C elegans neural wiring diagram 1990\n", "- Citation Network, 1998\n", "- Metabolic Network, 2000; \n", "- PPI network, 2001\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# The universality of network characteristics: \n", "The architecture of networks emerging in various domains of science, nature, and technology are more similar to each other than one would have expected. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# THE CHARACTERISTICS OF NETWORK SCIENCE \n", "- Interdisciplinary \n", "- Empirical\n", "- Quantitative and Mathematical \n", "- Computational \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# THE IMPACT OF NETWORK SCIENCE \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Google\n", "Market Cap(2010 Jan 1): \n", "$189 billion\n", "\n", "# Cisco Systems\n", "networking gear Market cap (Jan 1, 2919): \n", "$112 billion\n", "\n", "# Facebook\n", "market cap: \n", "$50 billion\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Health: From drug design to metabolic engineering. \n", "The human genome project, completed in 2001, offered the first comprehensive list of all human genes. \n", "\n", "- Yet, to fully understand how our cells function, and the origin of disease, \n", "- we need accurate maps that tell us how these genes and other cellular components interact with each other. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Security: Fighting Terrorism. \n", "Terrorism is one of the maladies of the 21st century, absorbing significant resources to combat it worldwide. \n", "\n", "- **Network thinking** is increasingly present in the arsenal of various law enforcement agencies in charge of limiting terrorist activities. \n", " - To disrupt the financial network of terrorist organizations\n", " - to map terrorist networks\n", " - to uncover the role of their members and their capabilities. \n", " \n", "- Using social networks to capture Saddam Hussein\n", "- Capturing of the individuals behind the March 11, 2004 Madrid train bombings **through the examination of the mobile call network**. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Epidemics: From forecasting to halting deadly viruses. \n", "\n", "While the **H1N1 pandemic** was not as devastating as it was feared at the beginning of the outbreak in 2009, it gained a special role in the history of epidemics: it was **the first pandemic whose course and time evolution was accurately predicted months before the pandemic reached its peak**. \n", "\n", "- Before 2000 epidemic modeling was dominated by **compartment models**, assuming that everyone can infect everyone else one word the same socio-physical compartment. \n", "- The emergence of a network-based framework has fundamentally changed this, offering a new level of predictability in epidemic phenomena. \n", "\n", "### In January 2010 network science tools have predicted the conditions necessary for the emergence of viruses spreading through mobile phones. \n", "\n", "### The first major mobile epidemic outbreak\n", " in the fall of 2010 in China, infecting over 300,000 phones each day, closely followed the predicted scenario. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Brain Research: Mapping neural network. \n", "The human brain, consisting of hundreds of billions of interlinked neurons, is one of the least understood networks from the perspective of network science. \n", "\n", "The reason is simple: \n", "- we lack maps telling us which neurons link to each other. \n", "- The only fully mapped neural map available for research is that of the C.Elegans worm, with only 300 neurons. \n", "\n", "Driven by the potential impact of such maps, in 2010 the **National Institutes of Health** has initiated the Connectome project, aimed at developing the technologies that could provide an accurate neuron-level map of mammalian brains. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# The Bridges of Konigsberg\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "# Can one walk across the seven bridges and never cross the same bridge twice and get back to the starting place? \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Can one walk across the seven bridges and never cross the same bridge twice and get back to the starting place? \n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Euler’s theorem (1735):\n", "\n", "- If a graph has more than two nodes of odd degree, there is no path. \n", "- If a graph is connected and has no odd degree nodes, it has at least one path.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "COMPONENTS OF A COMPLEX SYSTEM\n", "\n", "# Networks and graphs\n", " - components: nodes, vertices\t\t N\n", " - interactions: links, edges\t\t\t L\n", " - system: \t network, graph\t\t(N,L)\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "network often refers to real systems\n", "- www, \n", "- social network\n", "- metabolic network. \n", "\n", "Language: (Network, node, link)\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "graph: mathematical representation of a network\n", "- web graph, \n", "- social graph (a Facebook term)\n", "\n", "Language: (Graph, vertex, edge)\n", "\n", "\n", "# G(N, L)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# CHOOSING A PROPER REPRESENTATION\n", "\n", "The choice of the proper network representation determines our ability to use network theory successfully.\n", "\n", "In some cases there is a unique, unambiguous representation. \n", "In other cases, the representation is by no means unique.\n", " \n", "For example, the way we assign the links between a group of individuals will determine the nature of the question we can study.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If you connect individuals that work with each other, you will explore the professional network.\n", "\n", "http://www.theyrule.net" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "If you connect those that have a romantic and sexual relationship, you will be exploring the sexual networks.\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "If you connect individuals based on their first name (all Peters connected to each other), you will be exploring what? \n", "\n", "# It is a network, nevertheless.\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# UNDIRECTED VS. DIRECTED NETWORKS\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Undirected\n", "Links: undirected\n", "- co-authorship \n", "- actor network\n", "- protein interactions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T09:11:11.400128Z", "start_time": "2018-05-05T09:11:11.274754Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "import networkx as nx\n", "Gu = nx.Graph()\n", "for i, j in [(1, 2), (1, 4), (4, 2), (4, 3)]:\n", " Gu.add_edge(i,j)\n", "nx.draw(Gu, with_labels = True)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Directed\n", "Links: directed\n", "- urls on the www\n", "- phone calls\n", "- metabolic reactions" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T10:48:14.561409Z", "start_time": "2018-05-05T10:48:14.426867Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "Gd = nx.DiGraph()\n", "for i, j in [(1, 2), (1, 4), (4, 2), (4, 3)]:\n", " Gd.add_edge(i,j)\n", "nx.draw(Gd, with_labels = True, pos=nx.circular_layout(Gd))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Degree, Average Degree and Degree Distribution\n" ] }, { "cell_type": "code", "execution_count": 175, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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9EoBaZOPGjYqLi9OpU6d0fN8+bS4u/j3Cv0h6RNJaSfmSWkmaKen2s47fK6ln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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(Gu, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Undirected network: \n", "Node degree: the number of links connected to the node.\n", "## $k_1 = k_2 = 2, k_3 = 3, k_4 = 1$" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T10:48:27.253744Z", "start_time": "2018-05-05T10:48:27.170334Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(Gd, with_labels = True, pos=nx.circular_layout(Gd))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Directed network\n", "In directed networks we can define an in-degree and out-degree. The (total) degree is the sum of in-and out-degree.\n", "\n", "## $k_3^{in} = 2, k_3^{out} = 1, k_3 = 3$\n", "\n", "Source: a node with $k^{in}= 0$; Sink: a node with $k^{out}= 0$.\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "For a sample of N values: $x_1, x_2, ..., x_N$:\n", "\n", "# Average(mean):\n", "\n", "## $ = \\frac{x_1 +x_2 + ...+x_N}{N} = \\frac{1}{N}\\sum_{i = 1}^{N} x_i$ " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "For a sample of N values: $x_1, x_2, ..., x_N$:\n", "\n", "# The nth moment:\n", "\n", "## $ = \\frac{x_1^n +x_2^n + ...+x_N^n}{N} = \\frac{1}{N}\\sum_{i = 1}^{N} x_i^n$ " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "For a sample of N values: $x_1, x_2, ..., x_N$:\n", "\n", "# Standard deviation:\n", "\n", "## $\\sigma_x = \\sqrt{\\frac{1}{N}\\sum_{i = 1}^{N} (x_i - )^2}$ " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T22:52:18.822437", "start_time": "2017-05-20T22:52:18.816854" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "(1.6666666666666667, 10, 0.7453559924999299)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "x = [1, 1, 1, 2, 2, 3]\n", "np.mean(x), np.sum(x), np.std(x)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "For a sample of N values: $x_1, x_2, ..., x_N$:\n", "\n", "# Distribution of x:\n", "\n", "## $p_x = \\frac{The \\: frequency \\: of \\: x}{The\\: Number \\:of\\: Observations}$\n", "\n", "其中,$p_x 满足 \\sum_i p_x = 1$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T22:52:22.051941", "start_time": "2017-05-20T22:52:21.864640" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 直方图\n", "plt.hist(x)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T22:53:12.228948", "start_time": "2017-05-20T22:53:12.222577" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "defaultdict(int, {1: 3, 2: 2, 3: 1})" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from collections import defaultdict, Counter\n", "freq = defaultdict(int)\n", "for i in x:\n", " freq[i] +=1\n", "\n", "freq" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T22:53:16.580337", "start_time": "2017-05-20T22:53:16.575781" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "6" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "freq_sum = np.sum(freq.values())\n", "freq_sum" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T22:53:17.449486", "start_time": "2017-05-20T22:53:17.444514" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[0.5, 0.3333333333333333, 0.16666666666666666]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "px = [float(i)/freq_sum for i in freq.values()]\n", "px" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T22:53:30.898701", "start_time": "2017-05-20T22:53:30.717662" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(freq.keys(), px, 'r-o')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Average Degree" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Undirected\n", "\n", "# $ = \\frac{1}{N} \\sum_{i = 1}^{N} k_i = \\frac{2L}{N}$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Directed\n", "# $ = \\frac{1}{N} \\sum_{i=1}^N k_i^{in}= = \\frac{1}{N} \\sum_{i=1}^N k_i^{out} = \\frac{L}{N}$ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Degree distribution \n", "P(k): probability that a randomly selected node has degree k\n", "\n", "\n", "$N_k = The \\:number\\: of \\:nodes\\:with \\:degree\\: k$\n", "\n", "## $P(k) = \\frac{N_k}{N}$\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Adjacency matrix\n", "$A_{ij} =1$ if there is a link between node i and j\n", "\n", "$A_{ij} =0$ if there is no link between node i and j" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T10:49:16.096063Z", "start_time": "2018-05-05T10:49:15.969452Z" }, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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Tpg3WrFmDoKAg5OTkoGXLluoeC2r+bHRHt252djaaNWvm0J+5MjZyjxwB5s8Hdu40/v32a6u6uACSBAwZAkybBvTpIyajIGreyK0qIiICHX7+GTOcnNQ5FjjOAah3I7eqwMBAPFhcjHd0Osf+zCW5i4+XJFdXSdLpJMn4T2D+j05nfFx8vOjEDqWEH6GtlC5bJl3X6aQKNY4FjvNb8vLypPbt24uOYXfXlyyRrgkYz/KuGKYvQpV/hHcAqQMgNQOk5wDp/O33q/wLUZVmin41Y+G/gDQPkI6a+7IoZSyY+WwWx7iSPls9aKLoCxzP8q0YX31l9h9FAqRNgHQRkPIB6RlA8jP3j3PkiOhP4BCaKPrVjIUegOQGSE0AaVt1syS5j4VqPluNY1wJn62eVF/0BY9n+R69M38+UM2x2S8BaAugPYAXAPxa9QElJcbnkzpUMxaSAeQB6GDpuXIfC9V8thrHOCD/z0bmCR7P8iz6BQXGjQ0LG5QVAL4FsB5AaNU7JQnYsQPg5feUz8JY6IdaDGA5j4UaxrnFMQ7I+7OReTIYz/Is+qmpFu/+DMZjTR8B0BvAy+YepNPV+DqkALb4Gcp1LFjIVKsxDsj3s5F5MhjP8iz6OTl3HrpUxbMAygF8B+BHAG+Ye1BJCXDypD3SkSPVMBZqRa5jwcJnq9UYB+T72cg8GYxneTZnFRfX+JBGALoBWAGgK4BiAC2rPqioyNbJyNFqMRZqRY5joYbPVqsxDsjzs5F5MhjP8pzptzQ7tM1qAKAhgCbm7mzd2kaBSJg6jAWL5DgWavnZLI5xQJ6fjcyTwXiWZ9H38ACcnc3elQsgHsBFAOcBvAVgBIC7Hu3iAvToYceQ5BAWxkKtyXUsVPPZaj3GAfl+NjJPBuNZnqdhKCgA7rvP7NrXBRgPZzsOoAWMh7MthJlfe52dgXPnVH+uEtWfhsHCWPgLgJ+q3LYOQGDVB8p1LFTz2Wo9xgH5fjYrqPo0DDIYz/Kc6bdvbzzfhE53110dARwAcA3GL0cSzHwZdDpg6FBVfRE0y8JY+BGAVOVPYNUHyXksVPPZajXGAXl/NjJPBuNZnkUfMJ5gyMWlfs91cTE+n9RBzWNBzZ+NzBP8M5dv0e/TB1i0CHB1rdvzXF2Nz+Pl9dTjj7EgqXEscJxrj+jxbItTSdhVLc8+WKnTSdcA6eLcuaITO5QSfoS2smPYMKmkQQOpUo1noqzDOL/h5CRVKumz1ZHqz73zh4xnnxUynuU70zeJiAAyMwFfX+MGRtVfi1xcAGdn6Hx98dGYMXj5yy9RWVkpJivZTXZ2NgKysvD7li3Q1TAW4OtrHDMREWLC1kctx/kPPXrg8Rs30DMpCUePHhWTlax28OBBhGVn4+qnnzp8PMvz6J3qFBYa249PnjQ2J7RubTx0KTAQcHNDRUUFBg0ahFdeeQWRkZGi0zqE6o/eAVBaWorevXtj6tSp8PPzM95Yw1hQNAuf7ZuCAjz22GMoLy+Hi4sLBg8ejISEBHTq1El0aptR9dE7AK5cuQIvLy8sXrwYw4cPN97owPGsrKJfC99//z369++Pffv2oXv37qLj2J0Wiv7kyZNx9uxZbNq0CTozRz1oSWlpKZo1a4aKigoAxmuubtiwAa+99prgZLaj9qIfEhICnU6HNWvWCHl/eZ6GwQpdunTB3LlzodfrkZWVhcaNG4uORFbIzMzEhg0bkJOTo/mCDwDOzs5o3bo1iouLcfPmTaSmpqqq4KtdRkYGMjMzkZ2dLSyD/Nf06yEsLAxubm6IjY0VHYWscPnyZQQGBiIpKQnt2rUTHUc2vL29MWLECCxduhRLly7FjRs3REeiWrhw4QLCw8NhMBjQvHlzYTlUt7xjcv78eTz22GPYvn07+qj4ItJqXt4JDQ2FTqdDcnKy6CiyJEkShg0bhh49emDevHmi49iMGpd3JEnCc889h169emHOnDlCs6hypg8A7u7uWL58OfR6PUqquQIXyde2bduwe/duLFmyRHQU2dLpdFi7di3WrVuHffv2iY5DFiQkJKCwsBDTp08XHUW9M32TN954A25uboiLixMdxS7UONMvLCyEp6cnPvzwQwwcOFB0HNnbvn07xo0bhxMnTqBFixai41hNbTP906dPw8fHBwcOHMBDDz0kOo76i/6lS5fg4eGB9evX4+9//7voODantqIvSRJefPFFdOnSBQsWLBAdRzHCwsJQVlaGVBVcRUtNRb+8vBze3t4IDg5GhEz6RlS7vGPSpk0brF27FkFBQfj9999Fx6EapKenIzc3F7NnzxYdRVEWL16MAwcO4JNPPhEdhW4ze/ZstG/fHuHh4aKj3KL6mb7J6NGjcfXqVaSlpYmOYlNqmumfO3cOvXv3xq5du+Dl5SU6juIcPnwYw4YNQ3Z2Ntzd3UXHqTe1zPQPHjyIESNG4Pjx4+jQoYPoOLeofqZvsnDhQmRlZXEmJFOVlZUICgrCxIkTWfDrqV+/foiIiEBQUBBPRSLYlStXoNfrkZiYKKuCD2io6Ddt2hRpaWkYM2YM8vLyRMehKlauXImSkhJMnjxZdBRFi46ORnFxMVatWiU6iqZNmDABTz755J+nWZARzSzvmERHR+PkyZPYsmWLKjo81bC8c+rUKQwYMABZWVno2rWr6DiKl5ubC29vb2RmZuLhhx8WHafOlL68k5GRgaioKBw/flxoE1Z1NDPTN5kxYwZ+/vlnpKSkiI5CMB7doNfrMWfOHBZ8G+natStiY2Ph5+fHbl0Hy8vLk0XXrSWaK/pOTk4wGAyYOnUqzp49KzqO5s2bNw9t27aV1dENajBy5Eh06tQJM2fOFB1FMyRJQnBwMEaOHAlvb2/RcaqluaIPAI8++ijefvttBAQE3DpbITne0aNHER8fj7Vr16piqU1OTGdxZLeu4yQmJsqm69YSTRZ9AJg4cSIAYNmyZYKTaFNJSQn0ej3i4uJUdS54ObnnnnuQlJQEf39/XL58WXQcVTt9+jTeffddpKeny/7MvprbyL3d2bNn0bdvX+zZswePPvqo6Dj1otSN3AkTJiA/Px8bN24UHUX1lNatq7SNXFPXbVBQEEaPHi06To00O9MHgPvvvx/vvfce9Ho9N7wcaPfu3fj44495WKGDsFvXvmbPng03NzfZnGahJpou+gAQHByMzp07s+3fQYqLixEUFIQ1a9agTZs2ouNoQrNmzZCeno7Ro0fj/PnzouOoysGDB5GcnIyUlBTF7Etpvuibzte+Zs0aZGVliY6jeuPHj8fQoUPx7LPPio6iKaZu3eDgYEUuB8qRnLtuLdF80QeADh06YNWqVfD398e1a9dEx1GtzZs34+DBg1i0aJHoKJoUHR2NoqIiLqvZyMSJE2XbdWuJpjdyq/L390fz5s0V9aVQykZufn4+PD09sXnzZlkfw6x2SujWVcJGrty7bi3hTP82y5cvx7Zt2/D555+LjqIqkiRh5MiRCA4OZsEXjN261lNC160lLPq3adWqFdatW4fQ0FBcunRJdBzVWLduHc6dO8fuUJlgt279mbpuQ0NDFTuB4fKOGZGRkSgsLMQHH3wgOkqN5L68Y+qF2L17N3r06CE6Dv0hPz8fXl5e2LRpEwYMGCA6zh3kvLyTkJCAlJQUHDx4UPZNWNXhTN+M+fPn49ixY/jwww9FR1G0yspKBAYGYsqUKSz4MsNu3bo7ffo0pk+froiuW0tY9M1wdXWFwWDA+PHjeVyzFZYtWwZJkvDWW2+JjkJmvPDCCxg8eDAiIyNFR5G98vJy+Pn5YdasWbK4uLk1WPSr0adPH0RERCA0NFTWyydy9c0332D+/PlITU1Fw4YNRcehaixZsgT79+9nt24N5syZo6iuW0tY9C2Ijo5GQUEBkpKSREdRlBs3bkCv12P+/Pl44IEHRMchC9itW7ODBw8iKSlJNWeDZdG3oHHjxjAYDIiOjsb3338vOo5izJkzB+7u7ggJCREdhWqB3brVM3XdJiQkoGPHjqLj2ASLfg26d++OmJgYnnu/lg4dOnTrtBZqmBVpBbt1zTN13fr6+oqOYjMs+rUwfvx4NGnSBAsXLhQdRdauXbsGf39/rFq1SlHnIiHjb7Xp6emYNWsWvvvuO9FxZCEjIwN79uxR3TU3eJx+LZ07dw69evXCF198AU9PT9FxbpHTcfpjx45FcXExDAaD6ChUT0lJSUhMTMShQ4fg5OQkJIMcjtPPy8uDl5eXKk8bwpl+Lf3f//0fFi1aBL1ej7KyMtFxZGfXrl3YunUrVqxYIToKWYHdusau25CQEEV33VrCol8H/v7+6NKli+yvgeloRUVFCAkJQUpKClq1aiU6Dlnh9mvr7t+/X3QcIRITE5Gfn48ZM2aIjmIXXN6po8LCQnh4eMimfV0Oyztvvvkm2rZti+XLlwvNQbazbds2REZG4vjx42jRooVD31vk8s7p06fh4+OD/fv3o1u3bg5/f0fgTL+O3NzckJiYiICAAFy5ckV0HOE++ugjHD16FO+9957oKGRDWuzWNXXdzp49W7UFH2DRr5d//OMfeOKJJzBp0iTRUYS6cOECxo0bB4PBAFdXV9FxyMa01q2rpq5bS1j062nZsmXYtWsXPv30U9FRhDBtdoWHh6Nv376i45AdNGvWDAaDQRPdullZWarqurWERb+eWrRogdTUVIwaNQoXL14UHcfhkpOTkZ+fj5iYGNFRyI769++v+m5dNXbdWsKNXCtFRUXh3Llz+Oijj4TMEERs5P7www/o168f9u7dK9tL7pHtlJeXY8CAAdDr9Rg7dqzd38/RG7mhoaGorKxESkqKQ95PNM70rRQbG4tvv/1WERdcsYWKigoEBAQgOjqaBV8j1Nytm5GRgd27dyMuLk50FIdh0beSs7MzDAYDJk6ciF9++UV0HLtbtGgRGjdurKmjOsh4bd25c+eq6tq6Sr/WbX2x6NtAz549MX78eAQFBaGyslJ0HLvJycnBokWLkJqaigYNOHS0ZtSoUXB3d1dFt+7tXbc+Pj6i4zgUv7k2MnXqVFy5cgUJCQmio9hFWVkZ9Ho9Fi5ciPvuu090HBJATd26q1evVnXXrSXcyLWhM2fO3Ormc9Ql1Ry1kTt16lScPn0amzdvVv0hbWSZvbt17b2Ra/qe7tu3T9VNWNVh0bexVatWIS0tDQcOHECjRo3s/n6OKPr79+/Hyy+/jBMnTqB9+/Z2fS9ShlGjRqG8vBzr1q2z+Wvbs+iXl5fDx8cHAQEBGDNmjM1fXwm4vGNjERERaNmypWpOS3D16lUEBAQgMTGRBZ9uMXXrbt68WXSUOpkzZw7atm2L0aNHi44iDGf6dvDLL7+gZ8+e+Oyzz9CzZ0+7vpe9Z/rh4eEoKyuzy4yOlO3QoUMYPnw4jh07Bnd3d5u9rr1m+llZWfD19UV2drYmmrCqw5m+HXTu3BnLli2DXq9HaWmp6Dj1tmPHDnz22WeaOoaZaq9///4ICwtTRLfu1atXNdV1awmLvp28/vrreOSRRxAdHS06Sr389ttvGDlyJFJTUx1+al1SjpiYGEVcW3fixIkYNGiQqq51W19c3rGjixcvwtPTExs2bMCTTz5pl/ewx/KOJEl49dVX0blzZyxZssSmr03qk5ubC29vb+zduxfdu3e3+vVsvbyzdetWTJgwASdOnNBUE1Z1ONO3o3bt2iEpKQmBgYG4fPmy6Di1tnHjRvz3v/9FbGys6CikAHLu1s3Ly0NYWJjmum4t4UzfAcLCwlBeXm6XEzrZeqZv2oTeuXMnevXqZbPXJXWTJAnDhg2Dh4eH1ZMFW830JUnC888/Dy8vL05gbsOZvgMsXrwYmZmZ2LJli+goFkmShODgYIwbN44Fn+rE1K2bkpIim25dLXfdWsKi7wDNmjXD+vXrER4ejoKCAtFxqpWQkIDi4mJMmzZNdBRSoHvuuQerV6+Gv7+/8OXMM2fO4N1330V6ejqcnJyEZpEbLu84kD1OZWCr5R0Rp5AgdbK2W9fa5R123VrGmb4DzZo1Cz/88APS0tJER7nDzZs34e/vjxkzZrDgk9VEd+vOnTtX8123lnCm72AnTpzA4MGDcfToUZucrdIWM/3Y2Fj85z//weeff85TJpNNmLp169MvvIJDAAAH/UlEQVT9as1Mn123NeM33ME8PT0RFRUlm3PvZ2dnIy4uDikpKSz4ZDOmbt2goCCHdeuaum7j4+NZ8C3gt1yAyZMno6ysDMuXLxeao7S0FH5+fli6dCnuvfdeoVlIfWJiYnDp0iWHdeuaum5HjBjhkPdTKi7vCGKri4tbs7wzadIk/PTTT8Iu6k7qd+bMGXh7e2Pfvn217tatz/IOu25rjzN9Qf76178iNjYW/v7+KC8vd/j7Z2Zm4oMPPkBCQgILPtnNgw8+iNjYWLt26+bn57Prtg5Y9AUaNWoU2rdvj7lz5zr0fS9fvozAwEAkJyejXbt2Dn1v0h7TtXVnzZpl89c2Xes2ODhYc9e6rS8u7wh24cIFeHl5Ydu2bejbt2+dn1+f5Z2QkBA0bNgQSUlJdX4/ovrIz8+Hl5cXPv744xqLc12Wd1avXo2kpCRkZWWxCauWONMXrGPHjlixYgX8/f1x/fp1u7/f1q1bsWfPHixevNju70VkYurW1ev1NuvWPXPmDGJiYth1W0ec6cvEG2+8ATc3tzpfsKQuM/3CwkJ4enriww8/xMCBA+sTk8gqI0eOxM2bNy1269Zmps+u2/pj0ZeJoqIieHh4YN26dRg8eHCtn1fboi9JEl588UV07doV77//vjVRiert6tWr8PLywoIFC6o9tNJS0e/Xrx8ef/xxNG3aFMeOHcOOHTt4IEIdNRIdgIxat26NtWvXIjg4GDk5OWjVqpVNX99gMCA3NxcbN2606esS1UWzZs2Qnp6O4cOH4/HHH69TE1VFRQWOHTuGEydO4ObNm/jiiy9Y8OuBa/oy8swzz+CFF17A+PHjbfq6586dQ1RUFAwGA5o0aWLT1yaqq/peW/enn36Ck5MTysrKUFlZiaeffhr79u2zY1J1YtGXmQULFuDQoUP45JNPbPJ6lZWVCAwMxFtvvQUvLy+bvCaRtWJiYvDbb78hPj6+1s85c+bMrZ6WJk2a3LoONdUNl3dkpmnTpkhLS8Pw4cPh4+ODDh06WPV6K1asQFlZGaZMmWKjhETWa9y4MdLT0+Ht7Y2//e1vxm7dggIgNRUtvvoKab//Dvj5AR4eQFAQ4OaG7du3o7y8HE899RTi4+PRrVs30R9DkbiRK1MxMTE4ceIEtm7danHd0tJG7nfffYeBAwfi0KFD6NKli72iEtVbYmIiDixbhtSHHkLDXbuMN5aW/vkAFxdAkoAhQ3Bi6FDktmqFl156SUxYlWDRl6kbN26gX79+GDt2LEJCQqp9XHVFv7y8HN7e3ggJCUF4eLg9oxLVm5SQgLJx4+BUUWF5rVmnM/4HsGgREBHhqHiqxDV9mXJycoLBYMDUqVPxv//9r87Pj42NRbt27RAWFmaHdEQ2kJAA3aRJcDZT8HMBOAGYZLpBkoDr14FJk4CEBIfGVBvO9GVu8eLF2LJlC/bs2YOGDRvedb+5mf6RI0fw/PPPIzs7G+7u7o6KSlR7R44ATz5pLORm+AI4AuA1AIuq3unqCmRmAr172zWiWnGmL3MTJkyATqfD0qVL/7yxoABYsADw88NWwLjhtWABUFiIkpIS6PV6LF++nAWf5Gv+fKCkxOxdewH8BODv1T23pMT4fKoXzvQV4OzZs+jbty8OrViBv370EbBzp/EOMxteJzp1wkcPPIBY06YYkdwUFAD33Xfn+P2DBKAvgPcAGAC0g5mZPgA4OwPnzgFubvZMqkqc6SvA/fffj4xnn4X7G29AysgwflmqfmFKSoDSUjz6ww+Yu38/1z1JvlJTq70rHUB7WJjlm+h0Fl+HqseirwQJCfDevBkukgTdbb+Y3bXZBaAhAF1JCTe8SL5ycszO8ksATAewoDavUVICnDxp42DawKIvd0eOAJMmQWdmw2sKjLMis0xHOhw9as90RHVXXGz25iUAngZQ6x7boiIbBdIWFn25q2bDq8bNLoAbXiRPLVuavXkDgH8CaPXHnw8ArITxCB6zWre2Qzj1Y9GXs4IC46Ztlb12CUAUgIUALJ5jUJKAHTuAwkL7ZSSqKw8P40ZsFd8CuAzg9z/+vAFgLIz/EdzFxQXo0cOOIdWLRV/OqtmoqvVmF8ANL5KfwEDrX0OSbPM6GsSiL2dmNrzqtNkFcMOL5Kd9e2DIEOOExIJUVHO4pk4HDB3KwzXriUVfzsxseNV5swvghhfJz7RpxiWa+nBxMT6f6oVFX87MbHjVebML4IYXyU+fPsaTp7m61u15rq7G5/EUDPXGoi9nZja86rTZBXDDi+QrIuLPwl/TZQ91uj8LPs+yaRUWfTnjhhepXUSE8eRpvr7GCU7VJR8XF+Ptvr7Gx7HgW43n3pG7ESOAjIy7DtusFZ3O+GWx0aUXieyqsNB4pNnJk8Z9qNatjb+lBgZy09aGWPTlroZT0FrEU9ASURVc3pE7bngRkQ3xwuhKYFrHnDTJeNy9pV/OeFk5IrKAyztKcvSo8Vw6O3YYi/vt5+QxXUB66FDjMcyc4RORGSz6SsQNLyKqJxZ9IiIN4UYuEZGGsOgTEWkIiz4RkYaw6BMRaQiLPhGRhrDoExFpCIs+EZGGsOgTEWkIiz4RkYaw6BMRaQiLPhGRhrDoExFpCIs+EZGGsOgTEWkIiz4RkYaw6BMRaQiLPhGRhrDoExFpCIs+EZGGsOgTEWkIiz4RkYaw6BMRaQiLPhGRhrDoExFpCIs+EZGGsOgTEWkIiz4RkYaw6BMRaQiLPhGRhvx/iGq9ERmZGlsAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(1)\n", "plt.subplot(121)\n", "pos = nx.nx.circular_layout(Gu) #定义一个布局,此处采用了spring布局方式\n", "nx.draw(Gu, pos, with_labels = True)\n", "plt.subplot(122)\n", "nx.draw(Gd, pos, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Undirected\n", "$A_{ij} =1$ if there is a link between node i and j\n", "\n", "$A_{ij} =0$ if there is no link between node i and j\n", "\n", "## $A_{ij}=\\begin{bmatrix} 0&1 &0 &1 \\\\ 1&0 &0 &1 \\\\ 0 &0 &0 &1 \\\\ 1&1 &1 & 0 \\end{bmatrix}$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Undirected\n", "\n", "无向网络的矩阵是对称的。\n", "\n", "## $A_{ij} = A_{ji} , \\: A_{ii} = 0$\n", "\n", "## $k_i = \\sum_{j=1}^N A_{ij}, \\: k_j = \\sum_{i=1}^N A_{ij} $\n", "\n", "网络中的链接数量$L$可以表达为:\n", "\n", "## $ L = \\frac{1}{2}\\sum_{i=1}^N k_i = \\frac{1}{2}\\sum_{ij}^N A_{ij} $" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Directed\n", "$A_{ij} =1$ if there is a link between node i and j\n", "\n", "$A_{ij} =0$ if there is no link between node i and j\n", "\n", "## $A_{ij}=\\begin{bmatrix} 0&0 &0 &0 \\\\ 1&0 &0 &1 \\\\ 0 &0 &0 &1 \\\\ 1&0 &0 & 0 \\end{bmatrix}$\n", "\n", "Note that for a directed graph the matrix is not symmetric.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Directed\n", "## $A_{ij} \\neq A_{ji}, \\: A_{ii} = 0$\n", "## $k_i^{in} = \\sum_{j=1}^N A_{ij}, \\: k_j^{out} = \\sum_{i=1}^N A_{ij} $\n", "## $ L = \\sum_{i=1}^N k_i^{in} = \\sum_{j=1}^N k_j^{out}= \\frac{1}{2}\\sum_{i,j}^N A_{ij} $" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# WEIGHTED AND UNWEIGHTED NETWORKS\n", "\n", "## $A_{ij} = W_{ij}$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# BIPARTITE NETWORKS \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "`bipartite graph` (or bigraph) is a graph whose nodes can be divided into two disjoint sets U and V such that every link connects a node in U to one in V; that is, U and V are independent sets. \n", "\n", "- Hits algorithm\n", "- recommendation system\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "" ] }, { "cell_type": "code", "execution_count": 106, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T12:42:17.677873Z", "start_time": "2018-05-05T12:42:17.672980Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import numpy as np\n", "edges = [('甲', '新辣道'), ('甲', '海底捞'), ('甲', '五方院'), \n", " ('乙', '海底捞'), ('乙', '麦当劳'), ('乙', '俏江南'),\n", " ('丙', '新辣道'), ('丙', '海底捞'),\n", " ('丁', '新辣道'), ('丁', '五方院'), ('丁', '俏江南')]" ] }, { "cell_type": "code", "execution_count": 108, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T12:42:42.447692Z", "start_time": "2018-05-05T12:42:42.433523Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 steps\n", "{'俏江南': 2, '海底捞': 3, '麦当劳': 1, '新辣道': 3, '五方院': 2}\n", "{'丙': 6, '甲': 8, '乙': 6, '丁': 7}\n", "1 steps\n", "{'俏江南': 13, '海底捞': 20, '麦当劳': 6, '新辣道': 21, '五方院': 15}\n", "{'丙': 41, '甲': 56, '乙': 39, '丁': 49}\n", "2 steps\n", "{'俏江南': 88, '海底捞': 136, '麦当劳': 39, '新辣道': 146, '五方院': 105}\n", "{'丙': 282, '甲': 387, '乙': 263, '丁': 339}\n", "3 steps\n", "{'俏江南': 602, '海底捞': 932, '麦当劳': 263, '新辣道': 1008, '五方院': 726}\n", "{'丙': 1940, '甲': 2666, '乙': 1797, '丁': 2336}\n", "4 steps\n", "{'俏江南': 4133, '海底捞': 6403, '麦当劳': 1797, '新辣道': 6942, '五方院': 5002}\n", "{'丙': 13345, '甲': 18347, '乙': 12333, '丁': 16077}\n" ] } ], "source": [ "h_dic = {i:1 for i,j in edges}\n", "for k in range(5):\n", " print(k, 'steps')\n", " a_dic = {j:0 for i, j in edges}\n", " for i,j in edges:\n", " a_dic[j]+=h_dic[i]\n", " print(a_dic)\n", " h_dic = {i:0 for i, j in edges}\n", " for i, j in edges:\n", " h_dic[i]+=a_dic[j]\n", " print(h_dic)" ] }, { "cell_type": "code", "execution_count": 120, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T14:01:56.232039Z", "start_time": "2018-05-05T14:01:56.200950Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'海底捞': 0.2636544282409802, '俏江南': 0.17011696374819205, '五方院': 0.20624908818768029, '新辣道': 0.2861876476571226, '麦当劳': 0.07379187216602481}\n" ] } ], "source": [ "def norm_dic(dic):\n", " sumd = np.sum(list(dic.values()))\n", " return {i : dic[i]/sumd for i in dic}\n", " \n", "h = {i for i, j in edges}\n", "h_dic = {i:1/len(h) for i in h}\n", "for k in range(100):\n", " a_dic = {j:0 for i, j in edges}\n", " for i,j in edges:\n", " a_dic[j]+=h_dic[i]\n", " a_dic = norm_dic(a_dic)\n", " h_dic = {i:0 for i, j in edges}\n", " for i, j in edges:\n", " h_dic[i]+=a_dic[j]\n", " h_dic = norm_dic(h_dic)\n", "print(a_dic)" ] }, { "cell_type": "code", "execution_count": 130, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T14:15:33.010759Z", "start_time": "2018-05-05T14:15:32.999634Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'麦当劳': 0.036895936147322755, '海底捞': 0.13182721414423623, '俏江南': 0.08505848191154151, '五方院': 0.10312454403576717, '新辣道': 0.14309382376113222}\n" ] } ], "source": [ "B = nx.Graph()\n", "users, items = {i for i, j in edges}, {j for i, j in edges}\n", "for i, j in edges:\n", " B.add_edge(i,j)\n", "h, a = nx.hits(B) \n", "print({i:a[i] for i in items} )\n", "# {j:h[j] for j in users}" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2018-05-05T11:09:53.460039Z", "start_time": "2018-05-05T11:09:53.455822Z" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T11:30:48.424219Z", "start_time": "2018-05-05T11:30:48.269753Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "Gp = nx.DiGraph()\n", "edges = [('a', 'b'), ('a', 'c'), ('b', 'd'), ('b', 'e'), ('c', 'f'), ('c', 'g'),\n", " ('d', 'h'), ('d', 'a'), ('e', 'a'), ('e', 'h'), ('f', 'a'), ('g', 'a'), ('h', 'a')]\n", "for i, j in edges:\n", " Gp.add_edge(i,j)\n", "nx.draw(Gp, with_labels = True, font_size = 25, font_color = 'blue', alpha = 0.5,\n", " pos = nx.kamada_kawai_layout(Gp))\n", " #pos=nx.spring_layout(Gp, iterations = 5000))" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T11:53:11.334949Z", "start_time": "2018-05-05T11:53:11.306472Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 : 0.5 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.125\n", "2 : 0.3125 0.25 0.25 0.03125 0.03125 0.03125 0.03125 0.0625\n", "3 : 0.15625 0.15625 0.15625 0.125 0.125 0.125 0.125 0.03125\n", "4 : 0.40625 0.078125 0.078125 0.078125 0.078125 0.078125 0.078125 0.125\n", "5 : 0.359375 0.203125 0.203125 0.0390625 0.0390625 0.0390625 0.0390625 0.078125\n", "6 : 0.1953125 0.1796875 0.1796875 0.1015625 0.1015625 0.1015625 0.1015625 0.0390625\n", "7 : 0.34375 0.09765625 0.09765625 0.08984375 0.08984375 0.08984375 0.08984375 0.1015625\n", "8 : 0.37109375 0.171875 0.171875 0.048828125 0.048828125 0.048828125 0.048828125 0.08984375\n", "9 : 0.236328125 0.185546875 0.185546875 0.0859375 0.0859375 0.0859375 0.0859375 0.048828125\n", "10 : 0.306640625 0.1181640625 0.1181640625 0.0927734375 0.0927734375 0.0927734375 0.0927734375 0.0859375\n" ] } ], "source": [ "steps = 11\n", "n = 8\n", "a, b, c, d, e, f, g, h = [[1.0/n for i in range(steps)] for j in range(n)]\n", "for i in range(steps-1):\n", " a[i+1] = 0.5*d[i] + 0.5*e[i] + h[i] + f[i] + g[i]\n", " b[i+1] = 0.5*a[i]\n", " c[i+1] = 0.5*a[i]\n", " d[i+1] = 0.5*b[i]\n", " e[i+1] = 0.5*b[i]\n", " f[i+1] = 0.5*c[i]\n", " g[i+1] = 0.5*c[i]\n", " h[i+1] = 0.5*d[i] + 0.5*e[i]\n", " print(i+1,':', a[i+1], b[i+1], c[i+1], d[i+1], e[i+1], f[i+1], g[i+1], h[i+1]) " ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2018-05-05T12:45:45.265498Z", "start_time": "2018-05-05T12:45:45.261530Z" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 113, "metadata": { "ExecuteTime": { "end_time": "2018-05-05T12:46:43.999604Z", "start_time": "2018-05-05T12:46:43.988179Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "{0: 0.06181813973848581,\n", " 1: 0.11515299000945314,\n", " 2: 0.1100340840842764,\n", " 3: 0.10714737750289352,\n", " 4: 0.10584740866489117,\n", " 5: 0.10584740866489117,\n", " 6: 0.10714737750289352,\n", " 7: 0.11003408408427638,\n", " 8: 0.11515299000945314,\n", " 9: 0.061818139738485794}" ] }, "execution_count": 113, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G = nx.DiGraph(nx.path_graph(10))\n", "pr = nx.pagerank(G, alpha=0.9)\n", "pr" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Ingredient-Flavor Bipartite Network\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Path 路径\n", "A path is a sequence of nodes in which each node is adjacent to the next one\n", " - In a directed network, the path can follow only the direction of an arrow. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Distance 距离\n", "\n", "The distance (shortest path, geodesic path) between two nodes is defined as the number of edges along the shortest path connecting them.\n", "\n", "> If the two nodes are disconnected, the distance is **infinity**.\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Diameter 直径\n", "\n", "**Diameter $d_{max}$** is the maximum distance between any pair of nodes in the graph. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Shortest Path 最短路径\n", "The path with the shortest length between two nodes (distance). \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Average path length/distance, $$ 平均路径长度\n", "\n", "\n", "The average of the shortest paths for all pairs of nodes.\n", "\n", "\n", "- for a **directed graph**: where $d_{ij}$ is the distance from node i to node j\n", "\n", "## $ = \\frac{1}{2 L }\\sum_{i, j \\neq i} d_{ij}$ \n", "\n", "> 有向网络当中的$d_{ij}$数量是链接数量L的2倍\n", "\n", "- In an **undirected** graph $d_{ij} =d_{ji}$ , so we only need to count them once \n", "\n", "> 无向网络当中的$d_{ij}$数量是链接数量L\n", "\n", "\n", "## $ = \\frac{1}{L }\\sum_{i, j > i} d_{ij}$\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Cycle 环\n", "A path with the same start and end node. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# CONNECTEDNESS\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Connected (undirected) graph\n", "\n", "> In a connected **undirected** graph, any two vertices can be joined by a path. \n", "\n", "> A disconnected graph is made up by two or more connected components. \n", "\n", "- Largest Component: Giant Component\n", "- The rest: Isolates\n", "\n", "## Bridge 桥\n", "if we erase it, the graph becomes disconnected. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## The adjacency matrix of a network with several components can be written in a block-diagonal form, so that nonzero elements are confined to squares, with all other elements being zero:\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# 结构洞\n", "\n", "洞在哪里?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "洞在桥下!\n", "\n", "# 结构“坑”" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Strongly connected *directed* graph 强连通有向图\n", "\n", "has a path from each node to every other node and vice versa (e.g. AB path and BA path).\n", "\n", "# Weakly connected directed graph 弱连接有向图\n", "it is connected if we disregard the edge directions.\n", "\n", "Strongly connected components can be identified, but not every node is part of a nontrivial strongly connected component. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# In-component -> SCC ->Out-component\n", "\n", "- In-component: nodes that can reach the **scc** (strongly connected component 强连通分量或强连通子图) \n", "- Out-component: nodes that can be reached from the scc. \n", "\n", "> 万维网的蝴蝶结模型🎀 bowtie model\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Clustering coefficient 聚集系数\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Clustering coefficient 聚集系数\n", "what fraction of your neighbors are connected? Watts & Strogatz, Nature 1998.\n", "\n", "# 节点$i$的朋友之间是否也是朋友?\n", "\n", "## Node i with degree $k_i$ 节点i有k个朋友\n", "\n", "> ## $e_i$ represents the number of links between the $k_i$ neighbors of node i.\n", "\n", "> ## 节点i的k个朋友之间全部是朋友的数量 $\\frac{k_i(k_i -1)}{2}$\n", "\n", "\n", "# $C_i = \\frac{2e_i}{k_i(k_i -1)}$\n", "\n", "$C_i$ in [0,1]\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# 节点的**聚集系数**\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Global Clustering Coefficient 全局聚集系数(i.e., Transtivity 传递性)\n", "\n", "> triangles 三角形\n", "> triplets 三元组\n", "\n", "- A triplet consists of three connected nodes. \n", "- A triangle therefore includes three closed triplets\n", "- A triangle forms three **connected triplets** \n", "- **A connected triplet** is defined to be a connected subgraph consisting of three vertices and **two edges**. \n", " \n", "## $C = \\frac{\\mbox{number of closed triplets}}{\\mbox{number of connected triplets of vertices}}$\n", "\n", "## $C = \\frac{3 \\times \\mbox{number of triangles}}{\\mbox{number of connected triplets of vertices}}$\n", " " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T23:58:35.189052", "start_time": "2017-05-20T23:58:35.014423" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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z8/Ova1OR8uXLm/6IUkSsVisLFixg4sSJzJgxg379+un7owSpiO3Mvn376N27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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G1 = nx.complete_graph(4)\n", "pos = nx.spring_layout(G1) #定义一个布局,此处采用了spring布局方式\n", "nx.draw(G1, pos = pos, with_labels = True)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T23:58:35.785051", "start_time": "2017-05-20T23:58:35.781593" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] } ], "source": [ "print(nx.transitivity(G1))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T23:58:36.706567", "start_time": "2017-05-20T23:58:36.550505" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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yecOGDSu113RBQQH3NGnCd6WlF/xOuBjwBvYAzX+/LRJozJnJ+KyjQHNXV/L2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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G2 = nx.Graph()\n", "for i, j in [(1, 2), (1, 3), (1, 0), (3, 0)]:\n", " G2.add_edge(i,j)\n", "nx.draw(G2,pos = pos, with_labels = True)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2017-05-21T00:00:07.271947", "start_time": "2017-05-21T00:00:07.268756" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.6\n" ] } ], "source": [ "print(nx.transitivity(G2))\n", "# 开放三元组有5个,闭合三元组有3个" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2017-05-20T23:58:41.789976", "start_time": "2017-05-20T23:58:41.629511" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G3 = nx.Graph()\n", "for i, j in [(1, 2), (1, 3), (1, 0)]:\n", " G3.add_edge(i,j)\n", "nx.draw(G3, pos =pos, with_labels = True)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2017-05-21T00:00:29.398434", "start_time": "2017-05-21T00:00:29.394775" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0\n" ] } ], "source": [ "print(nx.transitivity(G3))\n", "# 开放三元组有3个,闭合三元组有0个" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "THREE CENTRAL QUANTITIES IN NETWORK SCIENCE\n", "- A. Degree distribution: \t\t\t $p_k$\n", "- B. Path length: \t\t\t\t\t\t$$\t\t\t\n", "- C. Clustering coefficient: $C_i$\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Typical Network Science Research\n", "\n", "- Discovering, Modeling, Verification\n", " - WATTSDJ,STROGATZSH.Collective dynamics of‘small-world’ networks. Nature, 1998, 393(6684): 440–442.\n", " - BARABÁSI A-L, ALBERT R. Emergence of scaling in random networks. Science, 1999, 286(5439): 509-512." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Typical Math Style\n", "Fan Chung & Linyuan Lu, The average distance in random graphs with given expected degree,. PNAS, 19, 15879-15882 (2002)." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Typical Physical Style\n", "A.-L.Barabási,R.Albert,H.Jeong Mean-field theory for scale-free random networks. Physica A 272, 173–187 (1999)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Typical Computer Science Style\n", "\n", "- Community detection\n", "- Link prediction\n", "- Recommendation algorithms" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Typical control sytle\n", "Controllability of Complex Networks\n", "\n", "Liu Y Y, Slotine J J, Barabási A L. Nature, 2011, 473(7346): 167-173." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 阅读材料\n", "- Barabasi 2016 Network Science. Cambridge\n", "- 汪小帆、李翔、陈关荣 2012 网络科学导论. 高等教育出版社\n", "- 梅拉妮·米歇尔 2011 复杂,湖南科学技术出版社\n", "- 菲利普-鲍尔 2004 预知社会:群体行为的内在法则,当代中国出版社\n", "- 巴拉巴西 2007 链接:网络新科学 湖南科技出版社" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": false, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "48px", "left": "955.991px", "top": "0px", "width": "159px" }, "toc_section_display": false, "toc_window_display": true }, "toc_position": { "height": "53px", "left": "580.008px", "right": "20px", "top": "120px", "width": "531px" } }, "nbformat": 4, "nbformat_minor": 1 }