615 lines
34 KiB
Text
615 lines
34 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import pandas as pd\n",
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"import matplotlib.pyplot as plt\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [],
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"source": [
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"import igraph as ig"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"source": [
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"# Load the graph"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [],
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"source": [
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"G = ig.read(\"data/bitcoin/bitcoinotc.graphml\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [],
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"source": [
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"G.to_undirected(combine_edges=\"first\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 21,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'IGRAPH U-W- 5881 21492 -- \\n+ attr: b (v), g (v), id (v), label (v), r (v), size (v), x (v), y (v), Edge Label (e), id (e), rating (e), time (e), weight (e)'"
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]
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},
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"execution_count": 21,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"G.summary()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"source": [
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"# Clique distribution"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"11"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"G.clique_number()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [],
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"source": [
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"cl = G.cliques()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"plt.hist(list(map(len,cl)), bins=10);"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"source": [
|
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"# Rescale the timestamps"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {
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"autoscroll": false,
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"collapsed": false,
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"ein.tags": "worksheet-0",
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"slideshow": {
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"slide_type": "-"
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}
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},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<div>\n",
|
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
|
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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"</style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>weight</th>\n",
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" <th>rating</th>\n",
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" <th>time</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>count</th>\n",
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" <td>21492.0</td>\n",
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" <td>21492.000000</td>\n",
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" <td>2.149200e+04</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>mean</th>\n",
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" <td>1.0</td>\n",
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" <td>0.641495</td>\n",
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" <td>1.356940e+09</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>std</th>\n",
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" <td>0.0</td>\n",
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" <td>3.935859</td>\n",
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" <td>3.309691e+07</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>min</th>\n",
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" <td>1.0</td>\n",
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" <td>-10.000000</td>\n",
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" <td>1.289242e+09</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>25%</th>\n",
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" <td>1.0</td>\n",
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" <td>1.000000</td>\n",
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" <td>1.334097e+09</td>\n",
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" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>50%</th>\n",
|
|
" <td>1.0</td>\n",
|
|
" <td>1.000000</td>\n",
|
|
" <td>1.360080e+09</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>75%</th>\n",
|
|
" <td>1.0</td>\n",
|
|
" <td>2.000000</td>\n",
|
|
" <td>1.377251e+09</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>max</th>\n",
|
|
" <td>1.0</td>\n",
|
|
" <td>10.000000</td>\n",
|
|
" <td>1.453680e+09</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" weight rating time\n",
|
|
"count 21492.0 21492.000000 2.149200e+04\n",
|
|
"mean 1.0 0.641495 1.356940e+09\n",
|
|
"std 0.0 3.935859 3.309691e+07\n",
|
|
"min 1.0 -10.000000 1.289242e+09\n",
|
|
"25% 1.0 1.000000 1.334097e+09\n",
|
|
"50% 1.0 1.000000 1.360080e+09\n",
|
|
"75% 1.0 2.000000 1.377251e+09\n",
|
|
"max 1.0 10.000000 1.453680e+09"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"edges = pd.DataFrame([e.attributes().values() for e in G.es])\n",
|
|
"edges.columns = G.es.attribute_names()\n",
|
|
"edges.drop([\"Edge Label\", \"id\"], axis=1, inplace=True)\n",
|
|
"edges.describe()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"timerange = edges.time.max() - edges.time.min()\n",
|
|
"timemin = edges.time.min()\n",
|
|
"G.es[\"time\"] = (G.es[\"time\"] - timemin) / timerange"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Temporal subgraphs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'IGRAPH U-W- 570 1378 -- \\n+ attr: b (v), g (v), id (v), label (v), r (v), size (v), x (v), y (v), Edge Label (e), id (e), rating (e), time (e), weight (e)'"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"G.subgraph_edges(G.es(lambda e: e[\"time\"] < 0.1)).summary()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"def temporal_subgraph(graph, tmin=None, tmax=None, delete_vertices=True):\n",
|
|
" if tmin==None:\n",
|
|
" tmin = min(graph.es[\"time\"])\n",
|
|
" if tmax==None:\n",
|
|
" tmax = max(graph.es[\"time\"])\n",
|
|
" return G.subgraph_edges(G.es(lambda e: (e[\"time\"] > tmin) & (e[\"time\"] < tmax)), delete_vertices=delete_vertices)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'IGRAPH U-W- 1788 4605 -- \\n+ attr: b (v), g (v), id (v), label (v), r (v), size (v), x (v), y (v), Edge Label (e), id (e), rating (e), time (e), weight (e)'"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"temporal_subgraph(G, tmin=0.1, tmax=0.3).summary()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
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"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 143.535156 246.269531 C 143.535156 252.9375 133.535156 252.9375 133.535156 246.269531 C 133.535156 239.601562 143.535156 239.601562 143.535156 246.269531 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 130.011719 466.660156 C 130.011719 473.328125 120.011719 473.328125 120.011719 466.660156 C 120.011719 459.996094 130.011719 459.996094 130.011719 466.660156 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 64.878906 158.523438 C 64.878906 165.1875 54.878906 165.1875 54.878906 158.523438 C 54.878906 151.855469 64.878906 151.855469 64.878906 158.523438 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 280.839844 451.261719 C 280.839844 457.929688 270.839844 457.929688 270.839844 451.261719 C 270.839844 444.597656 280.839844 444.597656 280.839844 451.261719 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 200.242188 576.863281 C 200.242188 583.53125 190.242188 583.53125 190.242188 576.863281 C 190.242188 570.195312 200.242188 570.195312 200.242188 576.863281 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 25 250.304688 C 25 256.972656 15 256.972656 15 250.304688 C 15 243.640625 25 243.640625 25 250.304688 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 505.910156 462.691406 C 505.910156 469.359375 495.910156 469.359375 495.910156 462.691406 C 495.910156 456.027344 505.910156 456.027344 505.910156 462.691406 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 345.652344 580 C 345.652344 586.667969 335.652344 586.667969 335.652344 580 C 335.652344 573.332031 345.652344 573.332031 345.652344 580 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 485.367188 361.101562 C 485.367188 367.769531 475.367188 367.769531 475.367188 361.101562 C 475.367188 354.433594 485.367188 354.433594 485.367188 361.101562 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 585 352.347656 C 585 359.015625 575 359.015625 575 352.347656 C 575 345.679688 585 345.679688 585 352.347656 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 294.183594 36.171875 C 294.183594 42.839844 284.183594 42.839844 284.183594 36.171875 C 284.183594 29.503906 294.183594 29.503906 294.183594 36.171875 \"/>\n",
|
|
"<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 423.28125 164.785156 C 423.28125 171.453125 413.28125 171.453125 413.28125 164.785156 C 413.28125 158.121094 423.28125 158.121094 423.28125 164.785156 \"/>\n",
|
|
"</g>\n",
|
|
"</svg>\n"
|
|
],
|
|
"text/plain": [
|
|
"<igraph.drawing.Plot at 0x7f5bff6b2470>"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"ti = 0\n",
|
|
"dt = 0.01\n",
|
|
"subg = temporal_subgraph(G, tmin=ti, tmax=ti+dt)\n",
|
|
"layout = subg.layout(\"kk\")\n",
|
|
"ig.plot(subg, layout=layout)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Export multilayer graph"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"dt = 0.05\n",
|
|
"layout = []\n",
|
|
"subg = []\n",
|
|
"for i in range(2):\n",
|
|
" subg.append(temporal_subgraph(G, tmin=i*dt, tmax=i*dt+dt))\n",
|
|
" layout.append(subg[i].layout(\"kk\").coords)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"vs_df = pd.DataFrame()\n",
|
|
"es_df = pd.DataFrame()\n",
|
|
"for i in range(2):\n",
|
|
" subg_vs = pd.DataFrame(layout[i])\n",
|
|
" subg_vs.columns = [\"x\",\"y\"]\n",
|
|
" subg_vs[\"id\"] = np.arange(len(layout[i]))\n",
|
|
" subg_vs[\"layer\"] = i+1\n",
|
|
" # subg_vs.to_csv(\"vs1.csv\", index=False)\n",
|
|
" vs_df = pd.concat([vs_df,subg_vs])\n",
|
|
" subg_es = pd.DataFrame([[e.source,e.target] for e in subg[i].es])\n",
|
|
" subg_es.columns = [\"u\",\"v\"]\n",
|
|
" # subg_es.to_csv(\"es1.csv\", index=False)\n",
|
|
" es_df = pd.concat([es_df,subg_es])\n",
|
|
" \n",
|
|
"vs_df.to_csv(\"vs.csv\", index=False)\n",
|
|
"es_df.to_csv(\"es.csv\", index=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"autoscroll": false,
|
|
"collapsed": false,
|
|
"ein.tags": "worksheet-0",
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"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": "3.6.5"
|
|
},
|
|
"name": "bitcoin.ipynb"
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|