"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# code for loading the format for the notebook\n",
"import os\n",
"\n",
"# path : store the current path to convert back to it later\n",
"path = os.getcwd()\n",
"os.chdir(os.path.join('..', 'notebook_format'))\n",
"\n",
"from formats import load_style\n",
"load_style(plot_style=False)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ethen 2019-03-02 10:24:46 \n",
"\n",
"CPython 3.6.4\n",
"IPython 6.4.0\n",
"\n",
"numpy 1.14.2\n",
"networkx 2.2\n",
"matplotlib 2.2.3\n"
]
}
],
"source": [
"os.chdir(path)\n",
"\n",
"# 1. magic for inline plot\n",
"# 2. magic to print version\n",
"# 3. magic so that the notebook will reload external python modules\n",
"# 4. magic to enable retina (high resolution) plots\n",
"# https://gist.github.com/minrk/3301035\n",
"%matplotlib inline\n",
"%load_ext watermark\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%config InlineBackend.figure_format='retina'\n",
"\n",
"import numpy as np\n",
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%watermark -a 'Ethen' -d -t -v -p numpy,networkx,matplotlib"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PageRank"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"PageRank is a function that assigns a number weighting each page in the Web, the intent is that the higher the PageRank of a page, the more important the page is. We can think of the Web as a directed graph, where the pages are the nodes and if there exists a link that connects page1 to page2 then there would be an edge connecting the two nodes.\n",
"\n",
"Imagine an toy example where there are only 4 pages/nodes, ${A, B, C, D}$:\n",
"\n",
"- $A$ has links connecting itself to each of ther other three pages.\n",
"- $B$ has links to $A$ and $D$.\n",
"- $D$ has links to $B$ and $C$.\n",
"- $C$ has links only to $A$."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nodes = ['A', 'B', 'C', 'D']\n",
"edges = [\n",
" ('A', 'B'),\n",
" ('A', 'C'),\n",
" ('A', 'D'),\n",
" ('B', 'A'),\n",
" ('B', 'D'),\n",
" ('D', 'B'),\n",
" ('D', 'C'),\n",
" ('C', 'A')\n",
"]\n",
"\n",
"graph = nx.DiGraph()\n",
"graph.add_nodes_from(nodes)\n",
"graph.add_edges_from(edges)\n",
"graph"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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