{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "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": "3.7.7" }, "colab": { "name": "kl_py_tree_01.ipynb", "provenance": [], "collapsed_sections": [], "include_colab_link": true } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "vOuF_Qq05gbN", "colab_type": "text" }, "source": [ "

\n", " \n", " \n", "

\n", "\n", "\n", "

\n", "\n", "\n", "\n", "# Python gráfok, hálózatok\n", "\n", "\n", "\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": { "id": "jX5LTABy5gbN", "colab_type": "text" }, "source": [ "---\n", "\n", "## ETE csomag\n", "\n", "---" ] }, { "cell_type": "code", "metadata": { "id": "E9R7kiDX5gbO", "colab_type": "code", "colab": {} }, "source": [ "## installálás ha kell\n", "!pip install ete3" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "HrB_8oy_5gbR", "colab_type": "code", "colab": {} }, "source": [ "%matplotlib inline\n", "from ete3 import Tree, TreeStyle\n", "from IPython.display import Image" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "_fir1atl5gbT", "colab_type": "code", "colab": {}, "outputId": "e0364170-26ae-4b4a-9dfb-ead5ee8a6e7a" }, "source": [ "t = Tree( \"(aa, (a,b),c, d, (e, (f, g)) );\" )\n", "# t.show() ## megjelenítés külön ablakban \n", "t.render(\"kltree1.png\", w=183, units=\"mm\") ## fa állományba mentése\n", "Image('kltree1.png') ## megjelenítés" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 47 } ] }, { "cell_type": "code", "metadata": { "id": "1aKUOCHD5gbW", "colab_type": "code", "colab": {}, "outputId": "1fdfdc7b-b03a-4032-e2ea-b0981ec28883" }, "source": [ "t = Tree( \"((a,b),c,d, elemér);\" )\n", "circular_style = TreeStyle()\n", "circular_style.mode = \"c\" # draw tree in circular mode\n", "circular_style.scale = 20\n", "# t.show() ## megjelenítés külön ablakban \n", "t.render(\"kltree2.png\", w=183, units=\"mm\", tree_style=circular_style) ## mentés\n", "Image('kltree2.png') ## megjelenítés" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 48 } ] }, { "cell_type": "markdown", "metadata": { "id": "FAZu6KKv5gbY", "colab_type": "text" }, "source": [ "---\n", "\n", "## networkx csomag \n", "\n", "`import matplotlib.pyplot as plt`\n", "\n", "`import networkx as nx`\n", "\n", "---" ] }, { "cell_type": "code", "metadata": { "id": "3l2Q7xSu5gbZ", "colab_type": "code", "colab": {} }, "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import networkx as nx" ], "execution_count": null, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "9OafNhGA5gbb", "colab_type": "code", "colab": {}, "outputId": "39bffe10-a477-4f9c-9404-c6f189f822cc" }, "source": [ "## egyszerű vonal\n", "plt.title(\"Python minta \")\n", "G = nx.path_graph(8)\n", "nx.draw(G)\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "n4ddc3vo5gbd", "colab_type": "code", "colab": {}, "outputId": "a4485d7e-3cfd-4864-bdc3-00cbeb0b6768" }, "source": [ "## körgyűrű színátmenettel\n", "plt.title(\"Python minta \")\n", "G = nx.cycle_graph(24)\n", "pos = nx.spring_layout(G, iterations=200)\n", "nx.draw(G, pos, node_color=range(24), node_size=800, cmap=plt.cm.Reds)\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "p9WJq9zK5gbg", "colab_type": "code", "colab": {}, "outputId": "5e26cff3-35b3-4659-9daa-ee920abb1010" }, "source": [ "\n", "G = nx.random_geometric_graph(200, 0.125)\n", "# position is stored as node attribute data for random_geometric_graph\n", "pos = nx.get_node_attributes(G, 'pos')\n", "\n", "# find node near center (0.5,0.5)\n", "dmin = 1\n", "ncenter = 0\n", "for n in pos:\n", " x, y = pos[n]\n", " d = (x - 0.5)**2 + (y - 0.5)**2\n", " if d < dmin:\n", " ncenter = n\n", " dmin = d\n", "\n", "# color by path length from node near center\n", "p = dict(nx.single_source_shortest_path_length(G, ncenter))\n", "\n", "plt.figure(figsize=(8, 8))\n", "nx.draw_networkx_edges(G, pos, nodelist=[ncenter], alpha=0.4)\n", "nx.draw_networkx_nodes(G, pos, nodelist=list(p.keys()),\n", " node_size=80,\n", " node_color=list(p.values()),\n", " cmap=plt.cm.Greens_r)\n", "\n", "plt.xlim(-0.05, 1.05)\n", "plt.ylim(-0.05, 1.05)\n", "plt.axis('off')\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "j3gi23tt5gbi", "colab_type": "code", "colab": {}, "outputId": "1fee3500-5f90-44c0-f968-827ccd6089c7" }, "source": [ "## 4x4 es rács\n", "\n", "G = nx.grid_2d_graph(4, 4) # 4x4 grid\n", "\n", "pos = nx.spring_layout(G, iterations=100)\n", "\n", "plt.subplot(221)\n", "nx.draw(G, pos, font_size=8)\n", "\n", "plt.subplot(222)\n", "nx.draw(G, pos, node_color='r', node_size=3, with_labels=False)\n", "\n", "plt.subplot(223)\n", "nx.draw(G, pos, node_color='g', node_size=250, with_labels=False, width=6)\n", "\n", "plt.subplot(224)\n", "H = G.to_directed()\n", "nx.draw(H, pos, node_color='b', node_size=20, with_labels=False)\n", "\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "O_6spTcX5gbk", "colab_type": "code", "colab": {}, "outputId": "367520cb-9b9e-45d2-a6f2-10ba716f1877" }, "source": [ "## gyűrüs hálózat\n", "plt.title(\"Python minta \")\n", "G = nx.karate_club_graph()\n", "nx.draw_circular(G, with_labels=True)\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "r78kO4Bi5gbm", "colab_type": "code", "colab": {}, "outputId": "0562a46c-8898-4cd6-c9fe-51bcdd1de006" }, "source": [ "## torzítások\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "\n", "\n", "options = {\n", " 'node_color': 'C0',\n", " 'node_size': 100,\n", "}\n", "\n", "G = nx.grid_2d_graph(6, 6)\n", "plt.subplot(332)\n", "nx.draw_spectral(G, **options)\n", "\n", "G.remove_edge((2, 2), (2, 3))\n", "plt.subplot(334)\n", "nx.draw_spectral(G, **options)\n", "\n", "G.remove_edge((3, 2), (3, 3))\n", "plt.subplot(335)\n", "nx.draw_spectral(G, **options)\n", "\n", "G.remove_edge((2, 2), (3, 2))\n", "plt.subplot(336)\n", "nx.draw_spectral(G, **options)\n", "\n", "G.remove_edge((2, 3), (3, 3))\n", "plt.subplot(337)\n", "nx.draw_spectral(G, **options)\n", "\n", "G.remove_edge((1, 2), (1, 3))\n", "plt.subplot(338)\n", "nx.draw_spectral(G, **options)\n", "\n", "G.remove_edge((4, 2), (4, 3))\n", "plt.subplot(339)\n", "nx.draw_spectral(G, **options)\n", "\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "jDhbkyi95gbp", "colab_type": "code", "colab": {}, "outputId": "ace32d05-b601-4ae9-f16d-fc8ebe660034" }, "source": [ "## súlytényező\n", "plt.title(\"Python minta \")\n", "G = nx.Graph()\n", "\n", "G.add_edge('a', 'b', weight=0.6)\n", "G.add_edge('a', 'c', weight=0.2)\n", "G.add_edge('c', 'd', weight=0.1)\n", "G.add_edge('c', 'e', weight=0.7)\n", "G.add_edge('c', 'f', weight=0.9)\n", "G.add_edge('a', 'd', weight=0.3)\n", "\n", "elarge = [(u, v) for (u, v, d) in G.edges(data=True) if d['weight'] > 0.5]\n", "esmall = [(u, v) for (u, v, d) in G.edges(data=True) if d['weight'] <= 0.5]\n", "\n", "pos = nx.spring_layout(G) \n", "\n", "# pontok\n", "nx.draw_networkx_nodes(G, pos, node_size=700)\n", "\n", "# élek\n", "nx.draw_networkx_edges(G, pos, edgelist=elarge,\n", " width=6)\n", "nx.draw_networkx_edges(G, pos, edgelist=esmall,\n", " width=6, alpha=0.5, edge_color='y', style='dashed')\n", "\n", "# cimkék\n", "nx.draw_networkx_labels(G, pos, font_size=20, font_family='sans-serif')\n", "\n", "plt.axis('off')\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "TmQjj9i35gbr", "colab_type": "code", "colab": {}, "outputId": "ab7550e4-3881-409a-9cee-d68f745921b0" }, "source": [ "plt.title(\"Python minta \")\n", "G = nx.cubical_graph()\n", "pos = nx.spring_layout(G) # pozició\n", "\n", "# pontok\n", "nx.draw_networkx_nodes(G, pos,\n", " nodelist=[0, 1, 2, 3],\n", " node_color='y',\n", " node_size=500,\n", " alpha=0.8)\n", "nx.draw_networkx_nodes(G, pos,\n", " nodelist=[4, 5, 6, 7],\n", " node_color='g',\n", " node_size=500,\n", " alpha=0.8)\n", "\n", "# élek\n", "nx.draw_networkx_edges(G, pos, width=1.0, alpha=0.5)\n", "nx.draw_networkx_edges(G, pos,\n", " edgelist=[(0, 1), (1, 2), (2, 3), (3, 0)],\n", " width=8, alpha=0.5, edge_color='y')\n", "nx.draw_networkx_edges(G, pos,\n", " edgelist=[(4, 5), (5, 6), (6, 7), (7, 4)],\n", " width=8, alpha=0.5, edge_color='g')\n", "\n", "\n", "# cimkék\n", "labels = {}\n", "labels[0] = r'$sarga1$'\n", "labels[1] = r'$sarga2$'\n", "labels[2] = r'$sarga3$'\n", "labels[3] = r'$sarga4$'\n", "labels[4] = r'$\\alpha$'\n", "labels[5] = r'$\\beta$'\n", "labels[6] = r'$\\gamma$'\n", "labels[7] = r'$\\delta$'\n", "nx.draw_networkx_labels(G, pos, labels, font_size=16)\n", "\n", "plt.axis('off')\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "f1oQbN245gbt", "colab_type": "code", "colab": {}, "outputId": "0f9e8d6e-879e-4244-93e8-a22af022de72" }, "source": [ "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "plt.title(\"Python minta\")\n", "\n", "G = nx.generators.directed.random_k_out_graph(10, 3, 0.5)\n", "pos = nx.layout.spring_layout(G)\n", "\n", "node_sizes = [3 + 10 * i for i in range(len(G))]\n", "M = G.number_of_edges()\n", "edge_colors = range(2, M + 2)\n", "edge_alphas = [(5 + i) / (M + 4) for i in range(M)]\n", "\n", "nodes = nx.draw_networkx_nodes(G, pos, node_size=node_sizes, node_color='red')\n", "edges = nx.draw_networkx_edges(G, pos, node_size=node_sizes, arrowstyle='->',\n", " arrowsize=10, edge_color=edge_colors,\n", " edge_cmap=plt.cm.Blues, width=2)\n", "# alpha érték\n", "for i in range(M):\n", " edges[i].set_alpha(edge_alphas[i])\n", "\n", "pc = mpl.collections.PatchCollection(edges, cmap=plt.cm.Reds)\n", "pc.set_array(edge_colors)\n", "plt.colorbar(pc)\n", "\n", "ax = plt.gca()\n", "ax.set_axis_off()\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "7tYMuqvy5gbv", "colab_type": "code", "colab": {}, "outputId": "77ee3e74-cccf-4d93-c48a-760fd698db0c" }, "source": [ "G = nx.star_graph(20)\n", "pos = nx.spring_layout(G)\n", "colors = range(20)\n", "nx.draw(G, pos, node_color='#A08BE2', edge_color=colors,\n", " width=4, edge_cmap=plt.cm.Blues, with_labels=False)\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "PMonH5NN5gbx", "colab_type": "code", "colab": {}, "outputId": "ab01b709-b5fa-411a-bcb6-d594c73c9d2c" }, "source": [ "from operator import itemgetter\n", "\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "plt.title(\"Python minta : barabasi albert\")\n", "if 1 == 1:\n", "\n", " n = 1000\n", " m = 2\n", " G = nx.generators.barabasi_albert_graph(n, m)\n", " # find node with largest degree\n", " node_and_degree = G.degree()\n", " (largest_hub, degree) = sorted(node_and_degree, key=itemgetter(1))[-1]\n", " # Create ego graph of main hub\n", " hub_ego = nx.ego_graph(G, largest_hub)\n", " # Draw graph\n", " pos = nx.spring_layout(hub_ego)\n", " nx.draw(hub_ego, pos, node_color='r', node_size=50, with_labels=False)\n", "\n", " nx.draw_networkx_nodes(hub_ego, pos, nodelist=[largest_hub], node_size=300, node_color='y')\n", " plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "YpzyL6Rc5gbz", "colab_type": "code", "colab": {}, "outputId": "164dfad6-4b16-4cc9-8e72-7c858ebbbec9" }, "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "\n", "G = nx.gnp_random_graph(100, 0.02)\n", "\n", "degree_sequence = sorted([d for n, d in G.degree()], reverse=True)\n", "dmax = max(degree_sequence)\n", "\n", "plt.loglog(degree_sequence, 'g-', marker='o')\n", "plt.title(\"Python minta\")\n", "plt.ylabel(\"degree\")\n", "plt.xlabel(\"rank\")\n", "\n", "\n", "plt.axes([0.45, 0.45, 0.45, 0.45])\n", "Gcc = G.subgraph(sorted(nx.connected_components(G), key=len, reverse=True)[0])\n", "pos = nx.spring_layout(Gcc)\n", "plt.axis('off')\n", "nx.draw_networkx_nodes(Gcc, pos, node_size=20)\n", "nx.draw_networkx_edges(Gcc, pos, alpha=0.4)\n", "\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "RINKGCFD5gb2", "colab_type": "code", "colab": {}, "outputId": "da2001d6-f4ac-4059-9c39-c7ea5c5795b9" }, "source": [ "import matplotlib.pyplot as plt\n", "from networkx import nx\n", "\n", "plt.title(\"Python minta2\")\n", "n = 10 # 10 pontok\n", "m = 20 # 20 élek\n", "\n", "G = nx.gnm_random_graph(n, m)\n", "### Erdos Renyi\n", "\n", "nx.draw(G)\n", "plt.show()" ], "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] } ] }