main.ipynb (271740B)
1 { 2 "cells": [ 3 { 4 "cell_type": "code", 5 "execution_count": 3, 6 "id": "9a69dad1", 7 "metadata": {}, 8 "outputs": [], 9 "source": [ 10 "import networkx as nx\n", 11 "import numpy as np\n", 12 "from IPython.display import Image\n", 13 "import itertools as it\n", 14 "import matplotlib.pyplot as plt" 15 ] 16 }, 17 { 18 "cell_type": "markdown", 19 "id": "8bbcd789", 20 "metadata": {}, 21 "source": [ 22 "# Exercise 1: Avrage degree and standard deviation" 23 ] 24 }, 25 { 26 "cell_type": "code", 27 "execution_count": 6, 28 "id": "4bcc8ec0", 29 "metadata": {}, 30 "outputs": [ 31 { 32 "name": "stdout", 33 "output_type": "stream", 34 "text": [ 35 "<k> = 4.588235294117647\n", 36 "sig_k = 3.8203606779128276\n" 37 ] 38 }, 39 { 40 "data": { 41 "image/png": 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\n", 42 "text/plain": [ 43 "<Figure size 720x504 with 1 Axes>" 44 ] 45 }, 46 "metadata": { 47 "needs_background": "light" 48 }, 49 "output_type": "display_data" 50 } 51 ], 52 "source": [ 53 "def avg_std_degree(G):\n", 54 " N = G.number_of_nodes()\n", 55 " k_i = list(dict(nx.degree(G)).items())\n", 56 " \n", 57 " _k_ = 1/N * sum(j for i, j in k_i)\n", 58 " sig_k = np.sqrt(1/N * sum((j - _k_)**2 for i, j in k_i))\n", 59 " return _k_, sig_k\n", 60 " \n", 61 " return _k_, sig_k\n", 62 "G_1 = nx.read_edgelist('./karate_elist.txt')\n", 63 "\n", 64 "_k_, sig_k = avg_std_degree(G_1)\n", 65 "print(f'<k> = {_k_}')\n", 66 "print(f'sig_k = {sig_k}')\n", 67 "\n", 68 "def get_histogram(G):\n", 69 " l_k = list(dict(G.degree()).values())\n", 70 " histogram = [(l_k.count(i), i) for i in set(l_k)]\n", 71 " y, x = list(zip(*histogram))\n", 72 " return x, y\n", 73 "\n", 74 "def plot_histogram(x, y, tit):\n", 75 " plt.figure(figsize=[10, 7])\n", 76 " plt.bar(x, y)\n", 77 " xticks = plt.xticks(x)\n", 78 " yticks = plt.yticks(y)\n", 79 " title = plt.title(tit , fontsize=16)\n", 80 " xlabel = plt.xlabel('degree',fontsize = 16)\n", 81 " ylabel = plt.ylabel('frequency',fontsize = 16)\n", 82 " plt.show()\n", 83 "\n", 84 "x, y = get_histogram(G_1)\n", 85 "plot_histogram(x, y, tit='karate-elist.txt')" 86 ] 87 }, 88 { 89 "cell_type": "markdown", 90 "id": "4c934da0", 91 "metadata": {}, 92 "source": [ 93 "# Exercise 2" 94 ] 95 }, 96 { 97 "cell_type": "code", 98 "execution_count": 235, 99 "id": "c7e0cc0e", 100 "metadata": {}, 101 "outputs": [ 102 { 103 "name": "stdout", 104 "output_type": "stream", 105 "text": [ 106 "A)\n", 107 "Adjcency Matrix\n", 108 "[[0 1 0 0 0 0 0 0 0 0]\n", 109 " [1 0 1 1 1 0 0 0 0 0]\n", 110 " [0 1 0 0 0 1 0 0 0 0]\n", 111 " [0 1 0 0 0 0 0 0 0 0]\n", 112 " [0 1 0 0 0 1 1 0 0 0]\n", 113 " [0 0 1 0 1 0 0 0 0 0]\n", 114 " [0 0 0 0 1 0 0 1 1 0]\n", 115 " [0 0 0 0 0 0 1 0 1 0]\n", 116 " [0 0 0 0 0 0 1 1 0 0]\n", 117 " [0 0 0 0 0 0 0 0 0 0]]\n", 118 "Edge list\n", 119 "[(1, 2, {}), (2, 3, {}), (2, 4, {}), (2, 5, {}), (3, 6, {}), (5, 6, {}), (5, 7, {}), (7, 8, {}), (7, 9, {}), (8, 9, {})]\n", 120 "\n", 121 "\n", 122 "B)\n", 123 "<C> = 0.2333333333333333\n", 124 "diameter = 4\n", 125 "rho_G = 0.2222222222222222\n", 126 "\n", 127 " C)\n", 128 "d=3 paths of (2, 3): 1\n", 129 "\n", 130 " C) d=3 paths:\n", 131 "((1, 6), ([[1, 2, 3, 6], [1, 2, 5, 6]], 2))\n", 132 "((3, 7), ([[3, 2, 5, 7], [3, 6, 5, 7]], 2))\n", 133 "((4, 6), ([[4, 2, 3, 6], [4, 2, 5, 6]], 2))\n", 134 "((1, 7), ([[1, 2, 5, 7]], 1))\n", 135 "((2, 3), ([[2, 5, 6, 3]], 1))\n", 136 "((2, 5), ([[2, 3, 6, 5]], 1))\n", 137 "((2, 8), ([[2, 5, 7, 8]], 1))\n", 138 "((2, 9), ([[2, 5, 7, 9]], 1))\n", 139 "((3, 6), ([[3, 2, 5, 6]], 1))\n", 140 "((4, 7), ([[4, 2, 5, 7]], 1))\n", 141 "((5, 6), ([[5, 2, 3, 6]], 1))\n", 142 "((5, 8), ([[5, 7, 9, 8]], 1))\n", 143 "((5, 9), ([[5, 7, 8, 9]], 1))\n", 144 "((6, 8), ([[6, 5, 7, 8]], 1))\n", 145 "((6, 9), ([[6, 5, 7, 9]], 1))\n" 146 ] 147 }, 148 { 149 "data": { 150 "image/png": 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\n", 151 "text/plain": [ 152 "<Figure size 432x288 with 1 Axes>" 153 ] 154 }, 155 "metadata": {}, 156 "output_type": "display_data" 157 } 158 ], 159 "source": [ 160 "# a) Write the adjacency matrix and the edgelist of the network from paper-exercise 3 \n", 161 "G = nx.Graph()\n", 162 "G.add_nodes_from([i for i in range(1, 11)])\n", 163 "G.add_edges_from([(1, 2),\\\n", 164 " (2, 3), (2,4), (2, 5),\\\n", 165 " (3, 6),\\\n", 166 " (5, 6), (5, 7),\\\n", 167 " (7, 8), (7, 9),\\\n", 168 " (8, 9)])\n", 169 "N = G.number_of_nodes()\n", 170 "core_nodes = max(nx.connected_components(G),key=len)\n", 171 "G_connected = G.subgraph(core_nodes)\n", 172 "\n", 173 "adj_matrix = nx.adjacency_matrix(G).todense()\n", 174 "edge_list = nx.to_edgelist(G)\n", 175 "nx.draw(G, with_labels=True)\n", 176 "print('A)')\n", 177 "print('Adjcency Matrix', adj_matrix, sep='\\n')\n", 178 "print('Edge list', edge_list, sep='\\n')\n", 179 "\n", 180 "# b) Compute the clustering coefficient, diameter and density\n", 181 "\n", 182 "_C_ = 1/N * sum(nx.clustering(G).values())\n", 183 "diameter = nx.diameter(G_connected)\n", 184 "rho_G = nx.density(G)\n", 185 "print('\\n')\n", 186 "print('B)')\n", 187 "print(f'<C> = {_C_}')\n", 188 "print(f'diameter = {diameter}')\n", 189 "print(f'rho_G = {rho_G}')\n", 190 "\n", 191 "# c) Find the number of d=3 paths between 2 and 3\n", 192 "\n", 193 "all_paths = list(nx.all_simple_paths(G, 2, 3))\n", 194 "path_3 = len([p for p in all_paths if len(p) - 1 == 3])\n", 195 "\n", 196 "print('\\n C)')\n", 197 "print('d=3 paths of (2, 3): ', path_3)\n", 198 "\n", 199 "# d) Which node pair has the most d=3 paths?\n", 200 "\n", 201 "def find_nodepair_of_pathlen_d(G, d):\n", 202 " nodes = list(G_connected.nodes())\n", 203 " paths = {}\n", 204 " for i in range(len(nodes)):\n", 205 " for j in range(i, len(nodes)):\n", 206 " all_paths = nx.all_simple_paths(G, nodes[i], nodes[j])\n", 207 " d_paths = [p for p in all_paths if len(p) - 1 == d]\n", 208 " paths[(nodes[i], nodes[j])] = (d_paths, len(d_paths))\n", 209 "\n", 210 " sorted_paths = {node_pair : (path, n) for node_pair, (path, n) in\\\n", 211 " sorted(paths.items(), key = lambda x: x[1][1], reverse = True)\\\n", 212 " if n != 0}\n", 213 " return sorted_paths\n", 214 "\n", 215 "print('\\n C) d=3 paths:')\n", 216 "print(*find_nodepair_of_pathlen_d(G, 3).items(), sep='\\n')" 217 ] 218 }, 219 { 220 "cell_type": "markdown", 221 "id": "eeeb86ad", 222 "metadata": {}, 223 "source": [ 224 "# Exercise 3 " 225 ] 226 }, 227 { 228 "cell_type": "code", 229 "execution_count": 6, 230 "id": "744d05b3", 231 "metadata": {}, 232 "outputs": [ 233 { 234 "name": "stdout", 235 "output_type": "stream", 236 "text": [ 237 "# nodes: 98\n", 238 "# edges: 104\n" 239 ] 240 }, 241 { 242 "data": { 243 "text/plain": [ 244 "<matplotlib.collections.LineCollection at 0x7f6389b52fd0>" 245 ] 246 }, 247 "execution_count": 6, 248 "metadata": {}, 249 "output_type": "execute_result" 250 }, 251 { 252 "data": { 253 "image/png": 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\n", 254 "text/plain": [ 255 "<Figure size 1080x1080 with 1 Axes>" 256 ] 257 }, 258 "metadata": {}, 259 "output_type": "display_data" 260 } 261 ], 262 "source": [ 263 "G_subway = nx.Graph()\n", 264 "f = open('./Vienna_subway.csv','r')\n", 265 "lines = f.readlines()\n", 266 "for line in lines[1:]:\n", 267 " start_node = line.strip().split(';')[0]\n", 268 " end_node = line.strip().split(';')[1]\n", 269 " color = line.strip().split(';')[3]\n", 270 " G_subway.add_edge(start_node,end_node,color=color)\n", 271 "f.close()\n", 272 "# a simple layout can be done by the networkx function spring_layout\n", 273 "# it basically considers the nodes as charged particles that repell each other \n", 274 "# and edges as springs that attract connected nodes\n", 275 "\n", 276 "print('# nodes: ', G_subway.number_of_nodes())\n", 277 "print('# edges: ', G_subway.number_of_edges())\n", 278 "\n", 279 "colors = [G_subway[u][v]['color'] for u,v in G_subway.edges]\n", 280 "\n", 281 "posG = nx.spring_layout(G_subway,iterations=200)\n", 282 "plt.figure(figsize=(15,15))\n", 283 "nx.draw_networkx(G_subway,pos = posG, node_size=50, node_color='#1f78b4',with_labels=1)\n", 284 "nx.draw_networkx_edges(G_subway,pos = posG,edge_color = colors,width=5)" 285 ] 286 }, 287 { 288 "cell_type": "code", 289 "execution_count": 20, 290 "id": "06eff7da", 291 "metadata": {}, 292 "outputs": [ 293 { 294 "name": "stdout", 295 "output_type": "stream", 296 "text": [ 297 "Hub: ('Karlsplatz', 5)\n", 298 "avrg. travel time: 28.64 min\n", 299 "longest path time: 72.5 min\n" 300 ] 301 }, 302 { 303 "data": { 304 "image/png": 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\n", 305 "text/plain": [ 306 "<Figure size 720x504 with 1 Axes>" 307 ] 308 }, 309 "metadata": { 310 "needs_background": "light" 311 }, 312 "output_type": "display_data" 313 }, 314 { 315 "name": "stdout", 316 "output_type": "stream", 317 "text": [ 318 "(\"Path: ['Schoenbrunn', 'Meidling Haupstrasse', 'Laengenfeldgasse', 'Margaretenguertel', 'Pilgramgasse', 'Kettenbrueckengasse', 'Karlsplatz', 'Stadtpark', 'Landstrasse', 'Schwedenplatz', 'Nestroyplatz', 'Praterstern', 'Vorgartenstrasse', 'Donauinsel']\", 'Travel time :35.0 min')\n" 319 ] 320 } 321 ], 322 "source": [ 323 "# a) find tehe hub (station with most connections)\n", 324 "hub = max(dict(G_subway.degree()).items(), key=lambda x: x[1])\n", 325 "print(f'Hub: {hub}')\n", 326 "# b) avrg travel time\n", 327 "stations = list(G_subway.nodes())\n", 328 "paths = []\n", 329 "for i in range(len(stations)):\n", 330 " for j in range(i, len(stations)):\n", 331 " shortest_path = nx.shortest_path(G_subway, stations[i], stations[j])\n", 332 " paths.append(len(shortest_path))\n", 333 "print(f'avrg. travel time: {round(np.mean(paths)*2.5, 2)} min')\n", 334 "print(f'longest path time: {round(max(paths)*2.5, 2)} min')\n", 335 "\n", 336 "# c) shortest path distirbution\n", 337 "histogram = [(paths.count(i), i) for i in range(1, len(set(paths)))]\n", 338 "y, x = list(zip(*histogram))\n", 339 "\n", 340 "plt.figure(figsize=[10, 7])\n", 341 "plt.bar(x, y)\n", 342 "xticks = plt.xticks(x)\n", 343 "yticks = plt.yticks(y)\n", 344 "title = plt.title('Subway', fontsize=16)\n", 345 "xlabel = plt.xlabel('shortes path of leangth #x',fontsize = 16)\n", 346 "ylabel = plt.ylabel('frequency',fontsize = 16)\n", 347 "plt.show()\n", 348 "\n", 349 "# d) subway app + avoid station\n", 350 "def subway_app(start, end, G=G_subway, avoid='Stephansplatz'):\n", 351 " paths = sorted(list(nx.all_simple_paths(G_subway, start, end)), key=len)\n", 352 " for p in paths:\n", 353 " if avoid not in p:\n", 354 " return f'Path: {p}', f'Travel time :{len(p)*2.5} min'\n", 355 "print(subway_app('Schoenbrunn', 'Donauinsel'), sep='\\n')" 356 ] 357 }, 358 { 359 "cell_type": "code", 360 "execution_count": null, 361 "id": "c81a85fd", 362 "metadata": {}, 363 "outputs": [], 364 "source": [] 365 }, 366 { 367 "cell_type": "code", 368 "execution_count": null, 369 "id": "029f7ff5", 370 "metadata": {}, 371 "outputs": [], 372 "source": [] 373 }, 374 { 375 "cell_type": "code", 376 "execution_count": null, 377 "id": "2ecf4ad0", 378 "metadata": {}, 379 "outputs": [], 380 "source": [] 381 }, 382 { 383 "cell_type": "code", 384 "execution_count": null, 385 "id": "dad1fa7e", 386 "metadata": {}, 387 "outputs": [], 388 "source": [] 389 }, 390 { 391 "cell_type": "code", 392 "execution_count": null, 393 "id": "bb5e57df", 394 "metadata": {}, 395 "outputs": [], 396 "source": [] 397 }, 398 { 399 "cell_type": "code", 400 "execution_count": null, 401 "id": "8ace5276", 402 "metadata": {}, 403 "outputs": [], 404 "source": [] 405 } 406 ], 407 "metadata": { 408 "kernelspec": { 409 "display_name": "Python 3 (ipykernel)", 410 "language": "python", 411 "name": "python3" 412 }, 413 "language_info": { 414 "codemirror_mode": { 415 "name": "ipython", 416 "version": 3 417 }, 418 "file_extension": ".py", 419 "mimetype": "text/x-python", 420 "name": "python", 421 "nbconvert_exporter": "python", 422 "pygments_lexer": "ipython3", 423 "version": "3.9.7" 424 } 425 }, 426 "nbformat": 4, 427 "nbformat_minor": 5 428 }