Skip to content

Instantly share code, notes, and snippets.

@kiwamizamurai
Created November 5, 2019 05:03
Show Gist options
  • Save kiwamizamurai/bb3eadf8b5a22bfe516cda6c67070f6d to your computer and use it in GitHub Desktop.
Save kiwamizamurai/bb3eadf8b5a22bfe516cda6c67070f6d to your computer and use it in GitHub Desktop.
Centrality-Analysis.ipynb
Display the source blob
Display the rendered blob
Raw
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Centrality-Analysis.ipynb",
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/kiwamizamurai/bb3eadf8b5a22bfe516cda6c67070f6d/centrality-analysis.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "VF27w13nf848",
"colab_type": "text"
},
"source": [
"## Evironment Check"
]
},
{
"cell_type": "code",
"metadata": {
"id": "4sVOqB20esKD",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 375
},
"outputId": "44f9fa78-da1c-4a0d-8e40-523735949b66"
},
"source": [
"!pip show networkx\n",
"print('\\n')\n",
"!python -V\n",
"print('\\n')\n",
"!uname -a\n",
"print('\\n')\n",
"!cat /etc/lsb-release"
],
"execution_count": 58,
"outputs": [
{
"output_type": "stream",
"text": [
"Name: networkx\n",
"Version: 2.4\n",
"Summary: Python package for creating and manipulating graphs and networks\n",
"Home-page: http://networkx.github.io/\n",
"Author: Aric Hagberg\n",
"Author-email: hagberg@lanl.gov\n",
"License: BSD\n",
"Location: /usr/local/lib/python3.6/dist-packages\n",
"Requires: decorator\n",
"Required-by: scikit-image, python-louvain, hyperopt, graph-nets\n",
"\n",
"\n",
"Python 3.6.8\n",
"\n",
"\n",
"Linux 794b0fb9491b 4.14.137+ #1 SMP Thu Aug 8 02:47:02 PDT 2019 x86_64 x86_64 x86_64 GNU/Linux\n",
"\n",
"\n",
"DISTRIB_ID=Ubuntu\n",
"DISTRIB_RELEASE=18.04\n",
"DISTRIB_CODENAME=bionic\n",
"DISTRIB_DESCRIPTION=\"Ubuntu 18.04.3 LTS\"\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "AGevq27yUARP",
"colab_type": "code",
"colab": {}
},
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"import warnings; warnings.simplefilter('ignore')"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "Mpgao07qXen8",
"colab_type": "text"
},
"source": [
"## Symmetric Networks\n",
"\n",
"無向グラフ。つまり、誰から誰へのようにエッジに向きの概念がないグラフ。隣接行列は対称になる"
]
},
{
"cell_type": "code",
"metadata": {
"id": "eC8xSNtEUOOj",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 98
},
"outputId": "dd47c16c-25da-4703-dd2b-552a1e208011"
},
"source": [
"G_symmetric = nx.Graph()\n",
"\n",
"G_symmetric.add_edge('A', 'B')\n",
"G_symmetric.add_edge('A', 'D')\n",
"G_symmetric.add_edge('A', 'E')\n",
"G_symmetric.add_edge('A', 'C')\n",
"G_symmetric.add_edge('B', 'C')\n",
"G_symmetric.add_edge('C', 'D')\n",
"G_symmetric.add_edge('F', 'E')\n",
"G_symmetric.add_edge('F', 'A')\n",
"\n",
"print(nx.info(G_symmetric))"
],
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": [
"Name: \n",
"Type: Graph\n",
"Number of nodes: 6\n",
"Number of edges: 8\n",
"Average degree: 2.6667\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "6mWGZZhRUUTi",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 575
},
"outputId": "94c51a29-0e3b-4bee-a364-b805e27d57f8"
},
"source": [
"plt.figure(figsize=(10, 10))\n",
"nx.draw_networkx(G_symmetric, node_color='pink')"
],
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAAIuCAYAAAC7EdIKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNFpKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "1erYxoMJXwGw",
"colab_type": "text"
},
"source": [
"## 無向グラフの隣接行列\n",
"\n",
"対称である、ので、固有値は実数という最強チックな性質を持つ。\n",
"\n",
"例えば、対象でないと固有ベクトル中心性が計算できなかったりする。複素数が出てくるため\n",
"\n",
"なので有向グラフ(非対称行列)の場合はPageRankという中心性を使うことが多い"
]
},
{
"cell_type": "code",
"metadata": {
"id": "m5HbOivuUX7k",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 115
},
"outputId": "a279bf2b-46a9-4a76-d70b-d03238bed89c"
},
"source": [
"import scipy as sp\n",
"adj_G_symmetric = nx.adjacency_matrix(G_symmetric)\n",
"\n",
"print(adj_G_symmetric.todense())"
],
"execution_count": 15,
"outputs": [
{
"output_type": "stream",
"text": [
"[[0 1 1 1 1 1]\n",
" [1 0 0 0 1 0]\n",
" [1 0 0 0 1 0]\n",
" [1 0 0 0 0 1]\n",
" [1 1 1 0 0 0]\n",
" [1 0 0 1 0 0]]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "iar8PAhhj5k6",
"colab_type": "text"
},
"source": [
"エッジの重みがないことを確認"
]
},
{
"cell_type": "code",
"metadata": {
"id": "bzZ_ZC0Kj0X_",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 33
},
"outputId": "07834759-689b-4dba-ebd0-59b68a17fc7c"
},
"source": [
"G_symmetric.edges.data()"
],
"execution_count": 70,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"EdgeDataView([('A', 'B', {}), ('A', 'D', {}), ('A', 'E', {}), ('A', 'C', {}), ('A', 'F', {}), ('B', 'C', {}), ('D', 'C', {}), ('E', 'F', {})])"
]
},
"metadata": {
"tags": []
},
"execution_count": 70
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PEZGBzW4gkAv",
"colab_type": "text"
},
"source": [
"NetworkXの組み込み関数で固有ベクトル中心性を計算してみる"
]
},
{
"cell_type": "code",
"metadata": {
"id": "o2TVyWJ9gLN8",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 115
},
"outputId": "1b62f3c2-94d4-4353-d1a9-5e2d5d9a1423"
},
"source": [
"nx.eigenvector_centrality(G_symmetric)"
],
"execution_count": 60,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"{'A': 0.6006686104947806,\n",
" 'B': 0.3545677660798074,\n",
" 'C': 0.4443904166426225,\n",
" 'D': 0.3545677660798074,\n",
" 'E': 0.30844592433424667,\n",
" 'F': 0.30844592433424667}"
]
},
"metadata": {
"tags": []
},
"execution_count": 60
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "pkp8FCGzlZkK",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 50
},
"outputId": "6d14c3dd-de51-4b11-a5bb-cd2f7b9c6be8"
},
"source": [
"nstart = {v: 1 for v in G_symmetric}\n",
"print(nstart)\n",
"nstart_sum = sum(nstart.values())\n",
"x = {k: v / nstart_sum for k, v in nstart.items()}\n",
"print(x)\n",
"nnodes = G_symmetric.number_of_nodes()"
],
"execution_count": 75,
"outputs": [
{
"output_type": "stream",
"text": [
"{'A': 1, 'B': 1, 'D': 1, 'E': 1, 'C': 1, 'F': 1}\n",
"{'A': 0.16666666666666666, 'B': 0.16666666666666666, 'D': 0.16666666666666666, 'E': 0.16666666666666666, 'C': 0.16666666666666666, 'F': 0.16666666666666666}\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "VvqKfXsDmYJg",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "d07bef5c-e638-4f83-c757-22cc9c6a3c31"
},
"source": [
" from math import sqrt\n",
" tol = 1.0e-6\n",
"\n",
" for i in range(100):\n",
" xlast = x\n",
" x = xlast.copy() # Start with xlast times I to iterate with (A+I)\n",
" # do the multiplication y^T = x^T A (left eigenvector)\n",
" for n in x:\n",
" for nbr in G_symmetric[n]:\n",
" w = G_symmetric[n][nbr].get('weight', 1) if 'weight' else 1\n",
" x[nbr] += xlast[n] * w\n",
" # Normalize the vector. The normalization denominator `norm`\n",
" # should never be zero by the Perron--Frobenius\n",
" # theorem. However, in case it is due to numerical error, we\n",
" # assume the norm to be one instead.\n",
" norm = sqrt(sum(z ** 2 for z in x.values())) or 1\n",
" x = {k: v / norm for k, v in x.items()}\n",
" # Check for convergence (in the L_1 norm).\n",
" if sum(abs(x[n] - xlast[n]) for n in x) < nnodes * tol:\n",
" print(x)"
],
"execution_count": 88,
"outputs": [
{
"output_type": "stream",
"text": [
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825025, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.4443916528155671, 'F': 0.3084443125610092}\n",
"{'A': 0.6006683537825024, 'B': 0.35456861096944264, 'D': 0.35456861096944264, 'E': 0.3084443125610092, 'C': 0.44439165281556703, 'F': 0.3084443125610092}\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "s1xdWPHPoKeI",
"colab_type": "text"
},
"source": [
"下の関数を使っているわけではなかった"
]
},
{
"cell_type": "code",
"metadata": {
"id": "FyAVvQRkgjhE",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 277
},
"outputId": "8c308cea-f5af-44c4-c2fa-a720d912cd6d"
},
"source": [
"import numpy as np\n",
"from scipy import linalg\n",
"\n",
"res = linalg.eig(adj_G_symmetric.todense())\n",
"\n",
"print(\"Eigen Value\\n{}\".format(res[0]))\n",
"print(\"Eigen Vector\\n{}\".format(res[1]))"
],
"execution_count": 69,
"outputs": [
{
"output_type": "stream",
"text": [
"Eigen Value\n",
"[ 2.94741264e+00+0.j 1.15927432e+00+0.j -1.82082228e+00+0.j\n",
" -1.28586469e+00+0.j -2.74144306e-19+0.j -1.00000000e+00+0.j]\n",
"Eigen Vector\n",
"[[-6.00668354e-01 -8.95539585e-02 6.98653892e-01 3.78233204e-01\n",
" -2.19597182e-17 -2.16821169e-18]\n",
" [-3.54568611e-01 2.94736413e-01 -4.35968829e-01 3.11997960e-01\n",
" -7.07106781e-01 -4.01836338e-17]\n",
" [-3.54568611e-01 2.94736413e-01 -4.35968829e-01 3.11997960e-01\n",
" 7.07106781e-01 1.74258412e-17]\n",
" [-3.08444313e-01 -5.62262372e-01 -2.47677388e-01 -1.65466139e-01\n",
" -2.05189049e-16 -7.07106781e-01]\n",
" [-4.44391653e-01 4.31234314e-01 9.51678639e-02 -7.79420364e-01\n",
" 1.07756395e-16 -5.48737201e-17]\n",
" [-3.08444313e-01 -5.62262372e-01 -2.47677388e-01 -1.65466139e-01\n",
" 1.41755647e-16 7.07106781e-01]]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wWia-r7sgLjK",
"colab_type": "text"
},
"source": [
"## 有向グラフ"
]
},
{
"cell_type": "code",
"metadata": {
"id": "p3wHMU_8Xbi7",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 115
},
"outputId": "e87c31d8-708e-4eeb-ed9a-9a295c7ab4d7"
},
"source": [
"G_asymmetric = nx.DiGraph()\n",
"G_asymmetric.add_edge('A','B')\n",
"G_asymmetric.add_edge('A','D')\n",
"G_asymmetric.add_edge('C','A')\n",
"G_asymmetric.add_edge('D','E')\n",
"\n",
"print(nx.info(G_asymmetric))"
],
"execution_count": 221,
"outputs": [
{
"output_type": "stream",
"text": [
"Name: \n",
"Type: DiGraph\n",
"Number of nodes: 5\n",
"Number of edges: 4\n",
"Average in degree: 0.8000\n",
"Average out degree: 0.8000\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "BJ78DLdUYSop",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 357
},
"outputId": "4c24d322-d942-453d-beab-143212c3a8e8"
},
"source": [
"plt.figure(figsize=(6, 6))\n",
"nx.spring_layout(G_asymmetric)\n",
"nx.draw_networkx(G_asymmetric, node_color='pink')"
],
"execution_count": 222,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAAFUCAYAAACHh+9/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAoCNiC4A2Oj/A2EnHLvsUVX5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UXRHcWvwYkWN",
"colab_type": "text"
},
"source": [
"## Edgeに意味を持たせる\n",
"\n",
"エッジの定義は様々、会話ネットワークであればAB間に発言があるかないか、この場合は無効グラフかつ、エッジの数値は意味がない\n",
"\n",
"一方で、例えば会話数の逆数をエッジの重みとすることを考えるとAからBへの発言数が100回あるとするとA->B、という向きのエッジは1/100という値(重み)を持つ\n",
"\n",
"このようにネットワーク解析ではエッジに重みを持たせることが多い"
]
},
{
"cell_type": "code",
"metadata": {
"id": "9HXyC0A2Ya-S",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 98
},
"outputId": "82e1956f-3e22-49c5-fa00-53fadd65eea4"
},
"source": [
"G_weighted = nx.Graph()\n",
"\n",
"G_weighted.add_edge('A', 'B', weight=25)\n",
"G_weighted.add_edge('A', 'C', weight=8)\n",
"G_weighted.add_edge('A', 'D', weight=11)\n",
"G_weighted.add_edge('A', 'F', weight=1)\n",
"G_weighted.add_edge('B', 'F', weight=1)\n",
"G_weighted.add_edge('F', 'C', weight=1)\n",
"G_weighted.add_edge('W', 'D', weight=8)\n",
"G_weighted.add_edge('W', 'A', weight=4)\n",
"\n",
"print(nx.info(G_weighted))"
],
"execution_count": 223,
"outputs": [
{
"output_type": "stream",
"text": [
"Name: \n",
"Type: Graph\n",
"Number of nodes: 6\n",
"Number of edges: 8\n",
"Average degree: 2.6667\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "c-wo-7fPaPA8",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 407
},
"outputId": "390d7ff8-8224-4776-f227-de2385effc93"
},
"source": [
"for (u, v, d) in G_weighted.edges(data=True):\n",
" print('##### u #####', u)\n",
" print('##### v #####', v)\n",
" print('##### d #####', d)"
],
"execution_count": 224,
"outputs": [
{
"output_type": "stream",
"text": [
"##### u ##### A\n",
"##### v ##### B\n",
"##### d ##### {'weight': 25}\n",
"##### u ##### A\n",
"##### v ##### C\n",
"##### d ##### {'weight': 8}\n",
"##### u ##### A\n",
"##### v ##### D\n",
"##### d ##### {'weight': 11}\n",
"##### u ##### A\n",
"##### v ##### F\n",
"##### d ##### {'weight': 1}\n",
"##### u ##### A\n",
"##### v ##### W\n",
"##### d ##### {'weight': 4}\n",
"##### u ##### B\n",
"##### v ##### F\n",
"##### d ##### {'weight': 1}\n",
"##### u ##### C\n",
"##### v ##### F\n",
"##### d ##### {'weight': 1}\n",
"##### u ##### D\n",
"##### v ##### W\n",
"##### d ##### {'weight': 8}\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Fbq2XWkoZqjm",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 640
},
"outputId": "55855b5d-8162-4301-b547-a91a1258ba3e"
},
"source": [
"elarge = [(u, v) for (u, v, d) in G_weighted.edges(data=True) if d['weight'] > 8]\n",
"esmall = [(u, v) for (u, v, d) in G_weighted.edges(data=True) if d['weight'] <= 8]\n",
"edge_labels = [((str(u), str(v)), d['weight']) for (u, v, d) in G_weighted.edges(data=True)]\n",
"edge_labels = dict(edge_labels)\n",
"\n",
"plt.figure(figsize=(10, 10))\n",
"\n",
"pos = nx.circular_layout(G_weighted) # positions for all nodes\n",
"\n",
"# nodes\n",
"nx.draw_networkx_nodes(G_weighted, pos, node_size=700, node_color='pink')\n",
"\n",
"# edges\n",
"nx.draw_networkx_edges(G_weighted, pos, edgelist=elarge ,width=6, edge_color='skyblue')\n",
"nx.draw_networkx_edges(G_weighted, pos, edgelist=esmall, width=6, alpha=0.5, edge_color='grey', style='dashed')\n",
"\n",
"# edge weights\n",
"nx.draw_networkx_edge_labels(G_weighted, pos, edge_labels, font_size=15)\n",
"\n",
"# labels\n",
"nx.draw_networkx_labels(G_weighted, pos, font_size=20, font_family='sans-serif')\n",
"\n",
"plt.axis('off')"
],
"execution_count": 225,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(-1.1260781626338259,\n",
" 1.1260781924361478,\n",
" -0.9793969609405755,\n",
" 0.9793970099497153)"
]
},
"metadata": {
"tags": []
},
"execution_count": 225
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAAIuCAYAAAC7EdIKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8AAAeYIHAMgTPABA3gLCVtfbIdBwEgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "T1vNIjYNgDGu",
"colab_type": "text"
},
"source": [
"## 重みを考慮した固有ベクトル中心性\n",
"\n",
"`eigenvector_centrality_numpy`\n",
"\n",
"https://github.com/networkx/networkx/blob/master/networkx/algorithms/centrality/eigenvector.py"
]
},
{
"cell_type": "code",
"metadata": {
"id": "xrrJQWIWor26",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 115
},
"outputId": "757c274c-2d6d-4086-edfe-ed440750eded"
},
"source": [
"nx.eigenvector_centrality(G_weighted)"
],
"execution_count": 226,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"{'A': 0.6006686104947806,\n",
" 'B': 0.3545677660798074,\n",
" 'C': 0.3545677660798074,\n",
" 'D': 0.30844592433424667,\n",
" 'F': 0.4443904166426225,\n",
" 'W': 0.30844592433424667}"
]
},
"metadata": {
"tags": []
},
"execution_count": 226
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "GSyEl2k-Z4bB",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 115
},
"outputId": "7020363a-4672-445e-e02d-bd86edc574a5"
},
"source": [
"nx.eigenvector_centrality_numpy(G_weighted)"
],
"execution_count": 227,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"{'A': 0.6006683537825024,\n",
" 'B': 0.35456861096944253,\n",
" 'C': 0.3545686109694426,\n",
" 'D': 0.3084443125610093,\n",
" 'F': 0.4443916528155671,\n",
" 'W': 0.30844431256100924}"
]
},
"metadata": {
"tags": []
},
"execution_count": 227
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "0WL3hm-c7w8B",
"colab_type": "text"
},
"source": [
"## PageRank\n",
"\n",
"固有ベクトル中心性は有向グラフでは時に役に立たないので改良版的な立ち位置\n",
"\n",
"- https://networkx.github.io/documentation/networkx-1.7/reference/generated/networkx.algorithms.link_analysis.pagerank_alg.pagerank.html"
]
},
{
"cell_type": "code",
"metadata": {
"id": "vO94K60l7_nh",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 115
},
"outputId": "8006a174-ddc4-487d-b105-828747f7bb86"
},
"source": [
"nx.pagerank(G_weighted)"
],
"execution_count": 228,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"{'A': 0.38572834824475294,\n",
" 'B': 0.20562336974145884,\n",
" 'C': 0.0918722179306145,\n",
" 'D': 0.16048447957731338,\n",
" 'F': 0.04709028433800132,\n",
" 'W': 0.10920130016785878}"
]
},
"metadata": {
"tags": []
},
"execution_count": 228
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "4BGsguucb3Ih",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 33
},
"outputId": "d7f16490-f6ac-4e3d-f51f-51c1f1d7c07c"
},
"source": [
"import scipy as sp\n",
"from scipy.sparse import linalg\n",
"\n",
"G = G_weighted\n",
"max_iter = 50\n",
"tol = 0\n",
"\n",
"M = nx.to_scipy_sparse_matrix(G, nodelist=list(G), weight='weight',\n",
" dtype=float)\n",
"eigenvalue, eigenvector = linalg.eigs(M.T, k=1, which='LR',\n",
" maxiter=max_iter, tol=tol)\n",
"largest = eigenvector.flatten().real\n",
"norm = sp.sign(largest.sum()) * sp.linalg.norm(largest)\n",
"\n",
"print(dict(zip(G, largest / norm)))"
],
"execution_count": 229,
"outputs": [
{
"output_type": "stream",
"text": [
"{'A': 0.6955183536515478, 'B': 0.5921510700287498, 'C': 0.19064749407192377, 'D': 0.30820519967671456, 'F': 0.050199506577808126, 'W': 0.17819772005647036}\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "kunRkPx8pzcn",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 277
},
"outputId": "b9bb1081-c8a7-4984-b567-4a6142dd892e"
},
"source": [
"print(M)"
],
"execution_count": 230,
"outputs": [
{
"output_type": "stream",
"text": [
" (0, 1)\t25.0\n",
" (0, 2)\t8.0\n",
" (0, 3)\t11.0\n",
" (0, 4)\t1.0\n",
" (0, 5)\t4.0\n",
" (1, 0)\t25.0\n",
" (1, 4)\t1.0\n",
" (2, 0)\t8.0\n",
" (2, 4)\t1.0\n",
" (3, 0)\t11.0\n",
" (3, 5)\t8.0\n",
" (4, 0)\t1.0\n",
" (4, 1)\t1.0\n",
" (4, 2)\t1.0\n",
" (5, 0)\t4.0\n",
" (5, 3)\t8.0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "p64sJgqVqE6s",
"colab_type": "text"
},
"source": [
"# 固有ベクトル中心性の変化を見る"
]
},
{
"cell_type": "code",
"metadata": {
"id": "xAzXVTuzqOb7",
"colab_type": "code",
"colab": {}
},
"source": [
"test = nx.Graph()\n",
"\n",
"test.add_edge('A', 'B', weight=3)\n",
"test.add_edge('A', 'C', weight=1)\n",
"test.add_edge('A', 'D', weight=1)\n",
"test.add_edge('C', 'D', weight=4)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "3DtCYbmV3pKw",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 373
},
"outputId": "09666ed9-6e0a-4ba8-9500-c4dbb3880751"
},
"source": [
"import pandas as pd \n",
"\n",
"df = pd.DataFrame()\n",
"df['nodes'] = nx.eigenvector_centrality_numpy(test)\n",
"df['Eigen-Numpy'] = np.round(list(nx.eigenvector_centrality_numpy(test).values()), decimals=9)\n",
"df['Eigen'] = np.round(list(nx.eigenvector_centrality(test).values()), decimals=9)\n",
"df['PageRank'] = np.round(list(nx.pagerank(test).values()), decimals=9)\n",
"\n",
"fig = plt.figure(figsize=(18, 6))\n",
"ax1 = fig.add_subplot(121)\n",
"\n",
"edge_labels = [((str(u), str(v)), d['weight']) for (u, v, d) in test.edges(data=True)]\n",
"edge_labels = dict(edge_labels)\n",
"\n",
"pos = nx.circular_layout(test) # positions for all nodes\n",
"\n",
"# nodes\n",
"nx.draw_networkx_nodes(test, pos, node_size=700, node_color='pink', ax=ax1)\n",
"\n",
"# edge weights\n",
"nx.draw_networkx_edge_labels(test, pos, edge_labels, font_size=15, ax=ax1)\n",
"\n",
"nx.draw_networkx_edges(test, pos, width=6, alpha=0.5, edge_color='grey', style='dashed', ax=ax1)\n",
"\n",
"# labels\n",
"nx.draw_networkx_labels(test, pos, font_size=20, font_family='sans-serif', ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(122)\n",
"font_size=14\n",
"bbox=[0, 0, 1, 1]\n",
"ax2.axis('off')\n",
"mpl_table = ax2.table(cellText = df.values, rowLabels = None, bbox=bbox, colLabels=df.columns)\n",
"mpl_table.auto_set_font_size(False)\n",
"mpl_table.set_fontsize(font_size)\n",
"\n",
"plt.axis('off')"
],
"execution_count": 234,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.0, 1.0, 0.0, 1.0)"
]
},
"metadata": {
"tags": []
},
"execution_count": 234
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA/oAAAFUCAYAAACUb0cWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1296x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KZf_mcvdyQ7o",
"colab_type": "text"
},
"source": [
"上の結果からエッジの重みよりもエッジの数の依存度が大きいと予想される"
]
},
{
"cell_type": "code",
"metadata": {
"id": "tZ3lBKd0qKML",
"colab_type": "code",
"colab": {}
},
"source": [
"test = nx.Graph()\n",
"\n",
"test.add_edge('A', 'B', weight=3)\n",
"test.add_edge('A', 'C', weight=1)\n",
"test.add_edge('A', 'D', weight=2)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "_S_3tjWB6WOz",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 373
},
"outputId": "4d0f88f8-e3c0-448d-99f3-3f49c570c618"
},
"source": [
"df = pd.DataFrame()\n",
"df['nodes'] = nx.eigenvector_centrality_numpy(test)\n",
"df['Eigen-Numpy'] = np.round(list(nx.eigenvector_centrality_numpy(test).values()), decimals=9)\n",
"df['Eigen'] = np.round(list(nx.eigenvector_centrality(test).values()), decimals=9)\n",
"df['PageRank'] = np.round(list(nx.pagerank(test).values()), decimals=9)\n",
"\n",
"fig = plt.figure(figsize=(18, 6))\n",
"ax1 = fig.add_subplot(121)\n",
"\n",
"edge_labels = [((str(u), str(v)), d['weight']) for (u, v, d) in test.edges(data=True)]\n",
"edge_labels = dict(edge_labels)\n",
"\n",
"pos = nx.circular_layout(test) # positions for all nodes\n",
"\n",
"# nodes\n",
"nx.draw_networkx_nodes(test, pos, node_size=700, node_color='pink', ax=ax1)\n",
"\n",
"# edge weights\n",
"nx.draw_networkx_edge_labels(test, pos, edge_labels, font_size=15, ax=ax1)\n",
"\n",
"nx.draw_networkx_edges(test, pos, width=6, alpha=0.5, edge_color='grey', style='dashed', ax=ax1)\n",
"\n",
"# labels\n",
"nx.draw_networkx_labels(test, pos, font_size=20, font_family='sans-serif', ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(122)\n",
"font_size=14\n",
"bbox=[0, 0, 1, 1]\n",
"ax2.axis('off')\n",
"mpl_table = ax2.table(cellText = df.values, rowLabels = None, bbox=bbox, colLabels=df.columns)\n",
"mpl_table.auto_set_font_size(False)\n",
"mpl_table.set_fontsize(font_size)\n",
"\n",
"plt.axis('off')"
],
"execution_count": 236,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.0, 1.0, 0.0, 1.0)"
]
},
"metadata": {
"tags": []
},
"execution_count": 236
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA/oAAAFUCAYAAACUb0cWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiIhakP8PPEIu4W+H/T8AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1296x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6zShY_K0y9mt",
"colab_type": "text"
},
"source": [
"重みが全く考慮されていない?"
]
},
{
"cell_type": "code",
"metadata": {
"id": "oejGlLFwzCRq",
"colab_type": "code",
"colab": {}
},
"source": [
"test = nx.Graph()\n",
"\n",
"test.add_edge('A', 'B', weight=30)\n",
"test.add_edge('A', 'C', weight=2)\n",
"test.add_edge('A', 'D', weight=11)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "qYfh1-eP6chq",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 373
},
"outputId": "040b08c2-3b16-4e0c-b5d2-a3d4e9ff9724"
},
"source": [
"df = pd.DataFrame()\n",
"df['nodes'] = nx.eigenvector_centrality_numpy(test)\n",
"df['Eigen-Numpy'] = np.round(list(nx.eigenvector_centrality_numpy(test).values()), decimals=9)\n",
"df['Eigen'] = np.round(list(nx.eigenvector_centrality(test).values()), decimals=9)\n",
"df['PageRank'] = np.round(list(nx.pagerank(test).values()), decimals=9)\n",
"\n",
"fig = plt.figure(figsize=(18, 6))\n",
"ax1 = fig.add_subplot(121)\n",
"\n",
"edge_labels = [((str(u), str(v)), d['weight']) for (u, v, d) in test.edges(data=True)]\n",
"edge_labels = dict(edge_labels)\n",
"\n",
"pos = nx.circular_layout(test) # positions for all nodes\n",
"\n",
"# nodes\n",
"nx.draw_networkx_nodes(test, pos, node_size=700, node_color='pink', ax=ax1)\n",
"\n",
"# edge weights\n",
"nx.draw_networkx_edge_labels(test, pos, edge_labels, font_size=15, ax=ax1)\n",
"\n",
"nx.draw_networkx_edges(test, pos, width=6, alpha=0.5, edge_color='grey', style='dashed', ax=ax1)\n",
"\n",
"# labels\n",
"nx.draw_networkx_labels(test, pos, font_size=20, font_family='sans-serif', ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(122)\n",
"font_size=14\n",
"bbox=[0, 0, 1, 1]\n",
"ax2.axis('off')\n",
"mpl_table = ax2.table(cellText = df.values, rowLabels = None, bbox=bbox, colLabels=df.columns)\n",
"mpl_table.auto_set_font_size(False)\n",
"mpl_table.set_fontsize(font_size)\n",
"\n",
"plt.axis('off')"
],
"execution_count": 238,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.0, 1.0, 0.0, 1.0)"
]
},
"metadata": {
"tags": []
},
"execution_count": 238
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA/oAAAFUCAYAAACUb0cWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<Figure size 1296x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tag9OJCJzO5t",
"colab_type": "text"
},
"source": [
"いや、かろうじてだが考慮されている"
]
},
{
"cell_type": "code",
"metadata": {
"id": "ICxqqFYOqKOS",
"colab_type": "code",
"colab": {}
},
"source": [
"test = nx.Graph()\n",
"\n",
"test.add_edge('A', 'B', weight=2)\n",
"test.add_edge('B', 'C', weight=1)\n",
"test.add_edge('A', 'C', weight=3)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "4ALqauUN6f5T",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 373
},
"outputId": "1ce1cd2c-fca7-4d89-947a-f8a7c9160397"
},
"source": [
"df = pd.DataFrame()\n",
"df['nodes'] = nx.eigenvector_centrality_numpy(test)\n",
"df['Eigen-Numpy'] = np.round(list(nx.eigenvector_centrality_numpy(test).values()), decimals=9)\n",
"df['Eigen'] = np.round(list(nx.eigenvector_centrality(test).values()), decimals=9)\n",
"df['PageRank'] = np.round(list(nx.pagerank(test).values()), decimals=9)\n",
"\n",
"fig = plt.figure(figsize=(18, 6))\n",
"ax1 = fig.add_subplot(121)\n",
"\n",
"edge_labels = [((str(u), str(v)), d['weight']) for (u, v, d) in test.edges(data=True)]\n",
"edge_labels = dict(edge_labels)\n",
"\n",
"pos = nx.circular_layout(test) # positions for all nodes\n",
"\n",
"# nodes\n",
"nx.draw_networkx_nodes(test, pos, node_size=700, node_color='pink', ax=ax1)\n",
"\n",
"# edge weights\n",
"nx.draw_networkx_edge_labels(test, pos, edge_labels, font_size=15, ax=ax1)\n",
"\n",
"nx.draw_networkx_edges(test, pos, width=6, alpha=0.5, edge_color='grey', style='dashed', ax=ax1)\n",
"\n",
"# labels\n",
"nx.draw_networkx_labels(test, pos, font_size=20, font_family='sans-serif', ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(122)\n",
"font_size=14\n",
"bbox=[0, 0, 1, 1]\n",
"ax2.axis('off')\n",
"mpl_table = ax2.table(cellText = df.values, rowLabels = None, bbox=bbox, colLabels=df.columns)\n",
"mpl_table.auto_set_font_size(False)\n",
"mpl_table.set_fontsize(font_size)\n",
"\n",
"plt.axis('off')"
],
"execution_count": 240,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.0, 1.0, 0.0, 1.0)"
]
},
"metadata": {
"tags": []
},
"execution_count": 240
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA/oAAAFUCAYAAACUb0cWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<Figure size 1296x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "wpDXIIhlyCai",
"colab_type": "code",
"colab": {}
},
"source": [
"test = nx.Graph()\n",
"\n",
"test.add_edge('A', 'B', weight=100)\n",
"test.add_edge('C', 'B', weight=26)\n",
"test.add_edge('A', 'D', weight=10)\n",
"test.add_edge('E', 'D', weight=9)\n",
"test.add_edge('G', 'D', weight=5)\n",
"test.add_edge('H', 'B', weight=2)\n",
"test.add_edge('M', 'D', weight=1)\n",
"test.add_edge('Q', 'D', weight=1)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "ikf-631b6jEx",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 373
},
"outputId": "b8500114-6c93-448c-e5d2-9f1bd4a23828"
},
"source": [
"df = pd.DataFrame()\n",
"df['nodes'] = nx.eigenvector_centrality_numpy(test)\n",
"df['Eigen-Numpy'] = np.round(list(nx.eigenvector_centrality_numpy(test).values()), decimals=9)\n",
"df['Eigen'] = np.round(list(nx.eigenvector_centrality(test).values()), decimals=9)\n",
"df['PageRank'] = np.round(list(nx.pagerank(test).values()), decimals=9)\n",
"\n",
"fig = plt.figure(figsize=(18, 6))\n",
"ax1 = fig.add_subplot(121)\n",
"\n",
"edge_labels = [((str(u), str(v)), d['weight']) for (u, v, d) in test.edges(data=True)]\n",
"edge_labels = dict(edge_labels)\n",
"\n",
"pos = nx.circular_layout(test) # positions for all nodes\n",
"\n",
"# nodes\n",
"nx.draw_networkx_nodes(test, pos, node_size=700, node_color='pink', ax=ax1)\n",
"\n",
"# edge weights\n",
"nx.draw_networkx_edge_labels(test, pos, edge_labels, font_size=15, ax=ax1)\n",
"\n",
"nx.draw_networkx_edges(test, pos, width=6, alpha=0.5, edge_color='grey', style='dashed', ax=ax1)\n",
"\n",
"# labels\n",
"nx.draw_networkx_labels(test, pos, font_size=20, font_family='sans-serif', ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(122)\n",
"font_size=14\n",
"bbox=[0, 0, 1, 1]\n",
"ax2.axis('off')\n",
"mpl_table = ax2.table(cellText = df.values, rowLabels = None, bbox=bbox, colLabels=df.columns)\n",
"mpl_table.auto_set_font_size(False)\n",
"mpl_table.set_fontsize(font_size)\n",
"\n",
"plt.axis('off')"
],
"execution_count": 242,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.0, 1.0, 0.0, 1.0)"
]
},
"metadata": {
"tags": []
},
"execution_count": 242
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA/oAAAFUCAYAAACUb0cWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1296x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "paUnebqE1Ggp",
"colab_type": "code",
"colab": {}
},
"source": [
"test = nx.Graph()\n",
"\n",
"test.add_edge('A', 'B', weight=25)\n",
"test.add_edge('N', 'B', weight=25)\n",
"test.add_edge('I', 'B', weight=25)\n",
"test.add_edge('E', 'D', weight=1)\n",
"test.add_edge('G', 'D', weight=1)\n",
"test.add_edge('E', 'B', weight=25)\n",
"test.add_edge('M', 'D', weight=1)\n",
"test.add_edge('Q', 'D', weight=1)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "F_hkyrIk6nTX",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 373
},
"outputId": "8e8ef9cf-5d9d-4e08-fb4e-0c43e8187558"
},
"source": [
"df = pd.DataFrame()\n",
"df['nodes'] = nx.eigenvector_centrality_numpy(test)\n",
"df['Eigen-Numpy'] = np.round(list(nx.eigenvector_centrality_numpy(test).values()), decimals=9)\n",
"df['Eigen'] = np.round(list(nx.eigenvector_centrality(test).values()), decimals=9)\n",
"df['PageRank'] = np.round(list(nx.pagerank(test).values()), decimals=9)\n",
"\n",
"fig = plt.figure(figsize=(18, 6))\n",
"ax1 = fig.add_subplot(121)\n",
"\n",
"edge_labels = [((str(u), str(v)), d['weight']) for (u, v, d) in test.edges(data=True)]\n",
"edge_labels = dict(edge_labels)\n",
"\n",
"pos = nx.circular_layout(test) # positions for all nodes\n",
"\n",
"# nodes\n",
"nx.draw_networkx_nodes(test, pos, node_size=700, node_color='pink', ax=ax1)\n",
"\n",
"# edge weights\n",
"nx.draw_networkx_edge_labels(test, pos, edge_labels, font_size=15, ax=ax1)\n",
"\n",
"nx.draw_networkx_edges(test, pos, width=6, alpha=0.5, edge_color='grey', style='dashed', ax=ax1)\n",
"\n",
"# labels\n",
"nx.draw_networkx_labels(test, pos, font_size=20, font_family='sans-serif', ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(122)\n",
"font_size=14\n",
"bbox=[0, 0, 1, 1]\n",
"ax2.axis('off')\n",
"mpl_table = ax2.table(cellText = df.values, rowLabels = None, bbox=bbox, colLabels=df.columns)\n",
"mpl_table.auto_set_font_size(False)\n",
"mpl_table.set_fontsize(font_size)\n",
"\n",
"plt.axis('off')"
],
"execution_count": 244,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.0, 1.0, 0.0, 1.0)"
]
},
"metadata": {
"tags": []
},
"execution_count": 244
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA/oAAAFUCAYAAACUb0cWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
"text/plain": [
"<Figure size 1296x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "pBmIC3mpdpW5",
"colab_type": "text"
},
"source": [
"## Reference \n",
"\n",
"https://www.kirenz.com/post/2019-08-13-network_analysis/"
]
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment