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@uinnnnnn
Last active October 14, 2023 20:16
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graph_theory.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/uinnnnnn/fd974a67f7d5f8230bce3d38f8abb5ab/graph_theory.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"#圖形理論期末報告\n",
"- 學生名字: 林映如 學號: s1091913 班級: 資工三B\n",
"- 交卷日期: 2022/12/24\n",
"- 連結:https://reurl.cc/Ydp6W0"
],
"metadata": {
"id": "GQzG9LywLEOf"
}
},
{
"cell_type": "code",
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt"
],
"metadata": {
"id": "MBSTjk4CAQvD"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"第一題\n",
"![image.png](data:image/png;base64,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)"
],
"metadata": {
"id": "JWq8vkumjsbo"
}
},
{
"cell_type": "code",
"source": [
"from networkx.algorithms.flow import shortest_augmenting_path\n",
"#製圖\n",
"G = nx.DiGraph()\n",
"G.add_edge('s','a', capacity=3)\n",
"G.add_edge('s','b', capacity=4)\n",
"G.add_edge('b','e', capacity=1)\n",
"G.add_edge('c','s', capacity=1)\n",
"G.add_edge('a','d', capacity=4)\n",
"G.add_edge('d','t', capacity=5)\n",
"G.add_edge('b','f', capacity=1)\n",
"G.add_edge('c','e', capacity=3)\n",
"G.add_edge('f','c', capacity=2)\n",
"G.add_edge('d','t', capacity=5)\n",
"G.add_edge('e','f', capacity=2)\n",
"G.add_edge('f','t', capacity=6)\n",
"G.add_edge('b','d', capacity=2)\n",
"pos = {'s':(0,5) ,'a':(5,10) ,'b':(11,5) ,'c':(5,0) ,'e':(11,2) ,'f':(15,0) ,'d':(15,10) ,'t':(20,5)}\n",
"capacity = nx.get_edge_attributes(G, 'capacity')\n",
"nx.draw_networkx_nodes(G, pos)\n",
"nx.draw_networkx_edges(G, pos)\n",
"nx.draw_networkx_labels(G, pos)\n",
"nx.draw_networkx_edge_labels(G,pos,capacity)\n",
"plt.show()\n",
"#最大流=最小切\n",
"flow_value, flow_dict = nx.maximum_flow(G,'s', 't', flow_func=shortest_augmenting_path)\n",
"print(flow_value, flow_dict)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 285
},
"id": "ilLEZaY9jwGg",
"outputId": "c4a35576-128b-4a97-a7a9-f9c3c859ec57"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"7 {'s': {'a': 3, 'b': 4}, 'a': {'d': 3}, 'b': {'e': 1, 'f': 1, 'd': 2}, 'e': {'f': 1}, 'c': {'s': 0, 'e': 0}, 'd': {'t': 5}, 't': {}, 'f': {'c': 0, 't': 2}}\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"第二題![image.png](data:image/png;base64,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)"
],
"metadata": {
"id": "VTo4uZHIDUPq"
}
},
{
"cell_type": "code",
"source": [
"# 製圖g\n",
"g = nx.Graph()\n",
"g.add_nodes_from([1,2,3,4,5,6,7,8,9,10,11,12,13])\n",
"g.add_edges_from([(1,11),(1,9),(2,13),(2,12),(3,12),(3,11),(4,11),(4,10),(4,9),(4,8),(5,11),(5,9),(6,9),(6,8),(6,7)])\n",
"pos = {1:(0,10) ,2:(2,10) ,3:(4,10) ,4:(6,10) ,5:(8,10) ,6:(10,10) ,7:(12,0) ,8:(10,0) ,9:(8,0) ,10:(6,0), 11:(4,0) ,12:(2,0) ,13:(0,0)}\n",
"\n",
"#求最大匹配\n",
"match = nx.max_weight_matching(g)\n",
"g_match = nx.Graph()\n",
"for kk,vv in match:\n",
" g_match.add_edge(kk,vv)\n",
"\n",
"\n",
"# 畫圖\n",
"fig=plt.figure(figsize=(8,4))\n",
"\n",
"ax1=fig.add_subplot(1,2,1)\n",
"nx.draw(g, pos, with_labels=True, node_color='red')\n",
"ax1.set_title('fig.1 : a simple graph')\n",
"\n",
"ax2=fig.add_subplot(1,2,2)\n",
"nx.draw(g_match,pos, with_labels=True, node_color='red')\n",
"ax2.set_title('fig. 2: a maximum matching')\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 264
},
"id": "WWiX-tVqDYPz",
"outputId": "d493e78b-ac6d-428f-830d-aee4c6f51381"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 576x288 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"第三題![image.png](data:image/png;base64,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)"
],
"metadata": {
"id": "aV3KPVyg21rB"
}
},
{
"cell_type": "code",
"source": [
"# 製圖\n",
"g = nx.Graph()\n",
"g.add_nodes_from([1,2,3,4,5,6,7,8,9,10,11,12,13])\n",
"g.add_edges_from([(1,4),(1,3),(1,2),(1,8),(4,3),(3,2),(2,8),(2,7),(8,5),(7,5),(5,6),(5,10),(5,11),(5,9),(6,11),(10,12),(10,13),(12,13)])\n",
"pos = {1:(2,10) ,2:(3,0) ,3:(1,0) ,4:(0,5) ,5:(6,5) ,6:(5,10) ,7:(6,0) ,8:(4,5) ,9:(8,3) ,10:(9,5), 11:(8,10) ,12:(10,7) ,13:(10,3)}\n",
"\n",
"#求最大匹配\n",
"match = nx.max_weight_matching(g)\n",
"g_match = nx.Graph()\n",
"for kk,vv in match:\n",
" g_match.add_edge(kk,vv)\n",
"#畫图\n",
"fig=plt.figure(figsize=(8,4))\n",
"\n",
"ax1=fig.add_subplot(1,2,1)\n",
"nx.draw(g, pos, with_labels=True, node_color='red')\n",
"ax1.set_title('fig.1 : a simple graph')\n",
"\n",
"ax2=fig.add_subplot(1,2,2)\n",
"nx.draw(g_match,pos, with_labels=True, node_color='red')\n",
"ax2.set_title('fig. 2: the maximum matching')\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 264
},
"id": "MblehP-Y4EZx",
"outputId": "46dc37eb-c687-445c-ba86-c49c79947b15"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 576x288 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"第四題\n",
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)"
],
"metadata": {
"id": "dhrH3x1b-zA6"
}
},
{
"cell_type": "code",
"source": [
"#製圖\n",
"G = nx.Graph({1: [7,2], 2: [7,6,3], 3: [6,5,4], 4:[3,5,10], 5:[3,4,6,9,10], 6:[8,2,3,9,7,5], 7:[1,2,6,8], 8:[5,7,6,9], 9:[4,6,5,8,10,11], 10:[4,5,9,11], 11:[9,10]})\n",
"fig=plt.figure(figsize=(8,4))\n",
"pos = {1:(0,0) ,2:(3,0) ,3:(5,0) ,4:(8,5) ,5:(6,5) ,6:(4,5) ,7:(1,5) ,8:(3,10) ,9:(5,10) ,10:(7,10), 11:(8,15)}\n",
"ax1=fig.add_subplot(1,1,1)\n",
"nx.draw(G, pos, with_labels=True, node_color='red')\n",
"ax1.set_title('fig.1 : a simple graph')\n",
"\n",
"plt.show()\n",
"\n",
"print(\"是否為 eulerian circuit:\")\n",
"print(nx.is_eulerian(G))\n",
"euler_circuit=list(nx.eulerian_circuit(G))\n",
"print(\"最短路徑:\")\n",
"for i, edge in enumerate(euler_circuit):\n",
" print(i, edge)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 715
},
"id": "IswAlLBoB2PE",
"outputId": "1db6da57-d608-4dd5-dc61-7ca65f374f27"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 576x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"是否為 eulerian circuit:\n",
"True\n",
"最短路徑:\n",
"0 (1, 2)\n",
"1 (2, 3)\n",
"2 (3, 4)\n",
"3 (4, 9)\n",
"4 (9, 11)\n",
"5 (11, 10)\n",
"6 (10, 9)\n",
"7 (9, 8)\n",
"8 (8, 7)\n",
"9 (7, 6)\n",
"10 (6, 9)\n",
"11 (9, 5)\n",
"12 (5, 8)\n",
"13 (8, 6)\n",
"14 (6, 5)\n",
"15 (5, 10)\n",
"16 (10, 4)\n",
"17 (4, 5)\n",
"18 (5, 3)\n",
"19 (3, 6)\n",
"20 (6, 2)\n",
"21 (2, 7)\n",
"22 (7, 1)\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"第五題![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAewAAAAfCAYAAAAlW/5jAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABtgSURBVHhe7d0JvKfVGAfwtxKihFAylpA2NBUtZMkgSrYULWJKQiJFSUlIi6golBZEKpUiomxpilBk2hdbJUsqGdJCx/k+/c983t7+y507t5k7Or/P5/3c+3//73vOc579ec65MwuljKaioqKioqJiUmPh3s+KioqKioqKSYwasCsqKioqKhYA1IBdUVFRUVGxAKAG7IqKioqKigUANWBXVFRUVFQsAKgBu6KioqKiYgFADdgVFRUVFRULAObo77DvvPPO5r///W/zgAc8oFlkkUWahRZaqPfN3OOuu+5qkLLwwgtP6Lj/T8Af/McrPHLhl2tOYBxjVF5XLIi47bbbwhctvvji9xv9ZffF3ivuvxgZsDn2P/zhD83pp5/eXH755c2///3v5sEPfnDz8pe/vJk2bVr8Pjf44x//2Hz3u9+NcR/5yEdGMFlqqaWapz3tac2Tn/zk3lOj8fOf/zyu5z//+c0zn/nM3t15Aw7kvPPOa2bNmtW85CUvmWuedMFYr7zyyuZHP/pR8Oexj31szPGPf/wjZPP4xz++2XTTTUNWv/rVr5rrrruueeELXxh87MIzF198cfOd73yn2WyzzZonPOEJvW8mF6z5mmuuaS677LJYM3BYiy22WPOUpzwl1nx/cNb4cNFFF4WdtPGIRzyiWWmlleLn3OL2229vTjnllObZz3528LYffve73zVf+cpXmle96lXz3L7a+NOf/hS2cMwxxzTPfe5zmy222KJ50IMe1Pv2vsE///nP5tvf/nbzqEc9KnzevAb9/+xnP9usvPLKzXrrrde7e/8D3/W9730v/N4rX/nKuZb7rbfe2vziF79o/vWvfzV//vOfm4c+9KHNMsss00yZMmWgHcx3ZGUYimuvvTZttdVWaf3110/ZoFN2mLxnyoqTshH3nhof/vrXv6Z3v/vdadttt01XXXVVuvHGG9PZZ5+dXvziF6fddtut99RoZEGmk08+Oa255prp8MMP792dd7jhhhvS9OnTg0fXX3997+7EIDvTdOqpp6anP/3paZ999onxb7nllpSVNt10003ppJNOCn7lYB733//+96dnPetZ6Ze//GVvhHvijjvuSCeeeGJaZ5110syZM3t3Jx9yoEqXXnppWm211VJO3lIOKCkbVzrwwAPj8x577BHr/X8HPuRAmR73uMeFXGfMmBHXzjvvnFZfffX0rW99q/fk+MB22F52VunYY4/t3b036EpO7tKhhx7auzPvkQNnet3rXpdy0E7HH398etGLXpT+8pe/9L6978C+syNPW265Ze/OvAUdsNYjjjiid+f+iTvvvDO94hWvCD8vdowXdP4LX/hC2mGHHdJvf/vbdPPNN4cN7LrrrikXQ2mttdbqPTn5MLK/opLba6+9osI+66yzmo9+9KNxX6Yr05kbZGNrfvrTn0bmqJpWYWdmNdttt12z5JJL9p4aDZXWiiuu2Cy99NJRkdzXsO4s4KisQdW33HLLxdyZp3FvImCsHHibrEjR/svKGtX1wx72sGaJJZaI6kpHQTaoapZxqrpyUI5stB8WXXTR5jWveU3I8hnPeEbv7uSD1h95onH55ZePjk4OWM073/nO5mMf+1jz+c9/vsnJSu/p8QOvLrnkksi2JyPwYYUVVmge8pCHhKzXXXfduD70oQ81q666avPGN76x+fWvf917es7Bdp74xCc2OSGISnsQ6B05DNKreYGvf/3r8VMV9PrXv74588wzm8c85jFxbyKRnXh0dgpU1tauDT8/QAd0xLbeeuvenfsnbMWuvfbaIYfx+lmV9CabbNJ84xvfaHJxE3774Q9/ePPUpz612XfffeNyb7JiZMCmrBZAaQQmgZWRC+Sc/9zgP//5T5Or6miJl9bnAx/4wGaDDTZo3vSmN/WemlzQ9j766KNDsDnzjnv40eXFRARuCQCnlLPJCFYcaxeU7a1vfWskPWOlw/kDfL4vYL6JcuplLPQWWN/UqVNDL3/wgx/07o4NXdoY/je/+c3mPe95T3Pttdf27t6NNt+6jtp3w5y3Odrvzy3KWBxWgfYdnUAH+5lbGK9gIhPP9jj9xi1J7yh472tf+9o9ktG2XkwU+KE3vOENzcEHHxztUlt1IBmeKJ6MB+z1/2n/eiyF1d/+9rd72VnZbhyPLBRais+f/OQnzYEHHtgsu+yyvW/uBv+50UYbNR/4wAd6dyYf5kgDLJgSW9i22247133+sg/H8e6+++6xHwuqCVl0G7///e+jsjLvxhtv3Hz84x+PvaVB4IBVY6rJH/7wh727TezxfuQjH5m9JyhhMO5qq63WvPSlLw3nNyjgUJILL7wwhG0/zz6KTA0EEgmIvb4dd9wxgqvK+KabborvwbiU5bWvfW1Ujr6//vrre9/eG5yZbF8VseWWW0Zl3YV50W7Punym5LoX1qkyeMtb3hJBHzg8/DC3LgHY8z722GOj22GPiNLaH7SvWQzL2u0pSw7sYapw2pWdddpn++AHPxjrb1e/3rXHTxbk/b73vS8y3VHwHp52wXG1Ew7PoB1tEj30q8aKHPHj1FNPDX7svPPOzYc//OHZ61Gp4sf6668fVfvNN9/cHHTQQdHNIMvNN9+8efSjH93stNNO8Z0EapVVVomKc++9945xwFxnn3128Pq9731v0FKSADx0vuKYY46JdetS6SThIac0Ct7vp5N4wBZd1njIIYc0u+yyS9iRsxQcDx1SOR9xxBHRuRKM/KT3XRiDLao2VO94OgrOtViHRN6add5AoMNPXYGrr746OgH4+La3vS3oYQf01jmL3XbbbWh1b4/xHe94R9ima80115xtd/D3v/+92WOPPWJdL3vZy0J+7UTg+9//fsxL33fYYYeosNhHP8yYMaO54IILwh7IqfgJARt/7J/r9ihiyLMNdLArOs6XkPlYwa9YAz6ZV8es6Bb5G/e0006Lz/wwXtvPpo8Fl156aciibbP77bdfyFJlqkvqnst8++yzT+jBZz7zmUj+Xv3qV8/2CaNgDnwlO3Magx8p4Ge333778F8HHHBA2L4Chx/nH+jmm9/85uacc87pvXE3D8hJYubdJz3pSeHXZs6c2XvibjmYG92edZaFzo8F7POLX/xi8/a3v31gFa3LO5k7j4Q3JmSjS9kZpSWWWIIWpa233jplx9D7dnzIjE/nn39+7EtlY06ZUbFPY48qO6jeUynlrDdloaRzzz03PqNls802iz0le+xwySWXpOyoUw4a8dn+rn3wLJjY34Vs+Ck7taC97FvkABPf+y4LM/Z2jzvuuHi+H7KDjX13+4fZIOPerbfemrKTiDVkpxF7jp/85Cdjr6Xs+RnfHmEOELEnZg1bbLFF2nTTTYOWfshKmbIxBF+yY+zdHQz70/Z6cxaacqBJX/rSl9LnPve59JznPCf2PGHWrFkpG3HKgTxlpxn3shNM2ThSVv7YI85BO9aYg3bwNwfEOFuQnWbKBhf7R/aQnWkgv+zIYp2f+tSnYjz7ivYYITvudMIJJwSf8c545JYNOPg2DJ7PASb26I0D3rGnnwNEygEh5raPn6vklB1m0JqdQOz3HnbYYfH5rLPOStm4433j4Av9yk49feITn4j94ezM4vuLLroo1pWTo1gTvSK3KVOmBN3W4h59XHHFFUM3wb3sXOJ9NNkjc+6ArM2ZHW7KFXLKyVrKVX3QbC8+O9576Ho/5MAZ66Vb5Vn6bQ/Onpu9ffv5K6ywQug7enOFGPrPlt71rncFPejCP7KYOnVquuKKK2IseuPzuuuum/bdd9+4csCJfW22wE6tY9q0aenTn/50vAM50Uk5KQ450StnUXJgCF3PgS30xxg5AMVna86JbMqBIX31q18N+zvqqKNSThCCb8NgHUsvvXTs5bbPLuA/unPyGJ/RssEGG6TslOP8B6Br8cUXD73PgT7snx4Pgj1MvC3vA7nRk5zsxXkZ8s/JxuxzIPSaPaMDn9kdWYxaF7DtbbbZJuwGn9HPx9Jp+/b0x/mBnHDG8+SB70suuWTKQTzuAdvNyUj8bqwNN9wwzjugx3N478yDz7lISTnhi7VaDx9IXux+lD4Cn8GnoM1ZE7qO5mKTaMnFQ9gXfc/BOeXkJ+yy7MXTW77JGtmpMzo5+Qzdy8lA+DLyXnnllWfLyxklMYgv4mPoOds07yjQX3qQE/XenQUPY66wZceyP9mp1pwKJju+2VngeKBSWmONNZrsWKM6M4fqRAX2m9/8Jp6RTWanERWGzBVkXk4452ARGXdWkLjfhurdiVYZmEoBnfYpjSfrl6nJTmXT7stoZfmyQPtFg9ZVtgW8367y8ERXQCXs5KosLgf16EiA7DM7qXhP1ilz944qVdY5EVBpGVObXBeCvFScOQmJvXDr0/pUobQhA1cxOgeQHUeTA2R0D/BV5azCKfuHKkRZuD11FagTzGSjslKpynzJ0fzleZWfdZOpteoC4HuR8Sh4NgedyNRVGjloxv5TTvRi/BNPPDHode5Bm1S14NQ8vUKPytj68VpLTdWMV56lU3hGrqAjkZ1I8EM3x1ZDdnxREYNx/QWD6gZfSqWGr2igG4DXZKwCNedWW20VPJg+fXp0AIxJ97VgR7WF2QkeZ2cblYnKSFVBPkceeWSMg35727ox6FdJ4pEKRttf9VTWaV3kapy27ZCZd1xsW7WBt7aBurC+7Nxj3eSouvO7qtLv+OhEtTHooc+qX3zEE/arkscXtOQg3Bu5P9gWm3auoXSa0E4ncrCYfXLdfHSYjuAX6J6gzdxkpN3NLwwC/WRD+FVAdmTLrnXIVLho4SsgJ6uhi3SCrpGZNRW7GQY+zHtotNWju0U30eoeP9M+mW9s8kcnH4gPqk62Re7AZ5KLZ9FDf3TXVNnWhRfGVvm6VLLW5TzHWJATwLA3tJFjoY8OGd+2Jp6ZR7cqJ7/BLzphfYBuvoQfsV764Sf79BydVcHrDtqGBGOSMTtS2euq2CLjW4fBXLon6Ol37kFcIENxiL+YrBhzwGYkAp1WNIO3QC2GQa2lOYG2GOdLubW+/AkFZ8JRcHradARFQYFQtZwFBsoo4PYDx+3S3hJMcjY4W5m0r372s5+FUQnSOTOP4/wEpk3KofdDCYptlHscSmnlc9Iujo2xlGDFOZlPO5/CUfySiHRhzRwsYxzl1AEdeERWlNJnBsswtY2N049+zzA8ezrFGXrGRdHJmBNGOz7hnbaR1pXgY87SusoZcRgGmI9BlnV7l95I+hiYw1TDgFY8JGvtbIlcrvDiXTqI3/RDUtT+EzZ8w1OG5zuJE+fyghe8III4mYDx20kXuEe/3C/f+elQFlqgPAMlsUOjVh8+o1Fb1vrLXMYgBzpWYOuHbnhuGPDXxSnachC0tbhzFRe6jB5Ak0BDhmRqfAHX70WuIBnhZLUgSwvbGO2Dnpyr1q8g1M++tIbpNB4X+9GGlwRLAIH+mJs8gC4LSOgq6OriMJR1FpA9+2/vRXpGkmWuXDnGPXxxSJOjB7+jaxhsVQlwBWRP3/AXrIFM2TEZC7r8VduX8DsC/CiwDWMUXcJ7fJEYFhR9K5BwGDtXsCEHdHiPrtNBiRq5CXboMZ6gJ+EF4+GV7Z3CVzxrr3kY0MwnoZlu8sVsBI+g6KLL+HTfPWd/2MpRRx0V9iKhLvpFPp4tPAbFhbEdkgW6RH7uQfGz1j8M+GBtfE6Xl2AMW6P8Ax81WTHHpxg4RhmzrJawRjmbQfAux99WEA7DvvPznve82OOSrVNkz1EOiljAYCgHAReF64JgODQK9eMf/zick4BK2OimKIxbJe45F6dTqqSxwvzmMGY/hbdWyYL1ySJVV+biEFW/xaF14b5zApyiTL44/2EYRscwDOOjefFSVVlod/lMH7wnYNvXR6/TrM4koBuPVeOqnPKedcuy0ToMnAzj9LfixRF0QS84ym4VyPmYl2Pm3FSiug2qK9XdFVdc0XtybBjl4K318MMPj0pC8rn//vvf4x06MIi/o0APBAc21w52g1DmkQxwiH62g67vBTk/h9GE/+Te7xkVoTWRa1snVEaD5DpqvjmFNZG/4NEGO0PDKJkNgzMXbZ6RQUl6u2Af7ut0qIoLL9h6CSzDgIcSBHPqxElEnLXoHorqgj6zP77B+5IEgUeS7RKMValterr/7sJ45eEsBP+sM6ljiFdsa9h49FDlr+iT2EsgBO8CtLd/gkRTkucCcsBr65sT8CNoG6QT7qMPz8pckxHj0mhC55gdZBAAMVBr1IZ+++DBMGCOrElm2gYnS4icAQORdamWHODhJAqK8fiuLeAuVIKqbC0yzrQcKGDQgoAg3jV4c7vmBBwb+iQXXVAUiicLlA13MWguY0ogvHvGGWfc6yRzAWPRVjIPJ+tzvzbmMJDHoCpekKDQ7YMwBeWzuemDzNkBLW1Y/9AL5ylZcfCoi1E8tn76MAz0g2PTAWiDbsjqVRzm4cy0T3VQVI0q4ImCuVSWWrBadCqNfo6Lk8HnOQX9Jtd+Yw4D/jnYRa7lQGcBHZHIlI5QP9BnlXi78i7AdzrRr4U6Sq4TBbRzrgJdG5JVfBYUxgO8JtM2yAA/2j6oQHLIRuhgN1EeCy/4J1tp2tW6Uw6sSXhHgU7rcAmUDsIqNMhccsdubAF1bbpLD9scD7S+FRsOl/L9DoBpqQ+DTqkDdWguh77aOt3PNkpCjicgYKN5TqtgPtS2jOSiK1uwBkk3fR9LUjy/MDJgy4jsjVGK0r6wB8UpqbQpiH042Z6TfdpAgxx/GwRlLK09+zDFyLSoOReOVmuNUqqABaTidCgdp0sx7Un46V1XuwoHGShF8jxhl70r91UDskTBXNtX4EbL8ccfP9TQOCr0WmcRvucF5BKwfS40ed7+sFakpObcc88N5ZAVa/8P2sPGI/sze+65Z6xdQCAD88rqKa6Eo7T+wLycSntPEA3ul6skO4VX7vnclpvgUmSCbpmnk7larPjkKidq0YIGMpIE4TfngRcSKr/bE3WWoKzbCfRuEOkCXeiwlq5cC5xnsFWDtuIsrYU8JRDokRhqEdITTkaFX07Nk43n8dLPNp9c4D6e4kWB73wuvLQWrUc6bY1k7D7H0n22vO/Z8vsweMf71tSmoQvjkIULrM3WgffxoLxLT3UYdEIkrvRMclNoA/yQXOoWCEhg/MJjzk+XhFxtjVkz3eQvbIOA58sF1k/H2mvwu3nHUjEZh06V9yUNZd+Vwy2QHNoSsvUCni/2MhZIkgUJelfsCI3tgG1M9LiPh/bitedVjWwDP2y5tW1zENBr/excRcz3dYsQ83Tp58+sH030T+AHPllQpC/+koFeogePyp56kUl7TPpY7o+CtSnatNh1CBRC7eBrHLIu+gK2UfATb9mFBIcv4JvBs95T9Pnp4p8FW7EGCh9KwPZM0aFRwF9062B4r8D7CgyBWgu+vY4C9oJ/7ffmBxbZyx+mDYGsyGIEFovllBkmQ+aMOQWCxlgVoCBIcWSpo4BRlFXQsZ9mLo5FkPa3sSp5zOOUCcSfCvhMyIxUS5bT8J1qThWqGtBS55wBfYIz5ZJx2xcyhvv2fCiJPz/58pe/HPNbC2Uf1IJlDJTOnwkxTONqt6iwKKS58cWa/BkG54hOrTHJAholKb6zHsFMYEFPP+AjmrVDzcHgtPc5B0pkfP+kpIyVgeAfWQhiEh6KLXNnvJSR8+VkPSMZUIFJwIyLZ9qb+INOf7bhGRfaVdj2TQsNFLwc4BOg0COzl4DgqyxcFSRZ0UnRMrZutBeHPwh0w3gOrJF1yZC72S+a6QnjZ+iCAp0SbDhRfEeP9dADfPDnXFqXsmkGyKm6R8/sn1k32TqMY3xykojSLckjfZOs2B/H96Lv+GJ99IM87Wd6n3zIjn7ZOij64ZALcHho6wdzoV2ixPa8i0562IYERDJofXSq/F0+PcY38rFWzl2ARbOtAc8A3bEejh2/VK3GcMjOWtg+GjyHL+an63ilc8VHSIrww6FFARIv8FE7ViVMjs4f0A2yEejooURUATBMH/gHNmoNeFjalnSczaom8RofJJEqvmIT5vQ+XWBrXd51IdjjkbGMbRxrxCv2QVZsnU90z6EqQZZ82Ac+kbe5p0+fHuscBs/6ky5zsl+2RRb4pNuIDoGX7BxobdPPLtmK5IteFJA523dGxvq1zcmCTbJR85Ad38KGwbkhvtXZmlFVJt21VjLne9HOrr3Hr+KBc0N4ZauAbPCVrPGNjQi8/JeCjz3SPec/3GfvkhBjOkgnJlgnO2TbbIbvxRvJP1sraxsEcuQfFJ/sSvLHV/CPbBNvFZ799EOM0DmUOEhu5xdG/lviGCsDYoAWgliKTzDF2C0eczkhDoWTKN8Ng/coNRK8S6FkzSq6LuMJ0ffG5RzRYh7OxDgERgDeEyS6CQNhQzcwyvYIzfuUgvMfJnRAc6kiKIEgWIwbbyibZzhPa6PAnqEs1qktw4i96/mxJDfGYYDoNLb3BRD8YgxgjbJpz3Fovpe5o43xu0duAluh1eV5dKEDD/w0DwMyPvqNjf/WTRc4Eq1owRqM4TI+eagQJDLgM0fA0Mq6jTnMcVov3eMYzU3vOKF+2x/lWVf53s/SykUvvqC16KV1+R1t6OI4BDrz4BdZ0UP04gPdwmeBxXz4w4EWeyhrdI/+0SHj4CWn5Xf0cVrkQJ/LFocxBzkBc5V9TTA2He3qcRnP8/QP7QXFPqwJX/ATTW3+e1/SIlgLAr63rjKP9/EQP/Cp3KfjHC5woOa1ZnPSKXOi2bxszTj4bg7PSf7x1vf4MAh0z1zm9VzbRsnXd2gzZvENRb58E/03Rz/edYE/hU6y8tkYxrU+ekRfCj3G9J31SX7xCS/cN+coOK8jwElszcm+yYLMHYTCPz6D/kkyu/SzcWvvAl/Ihv9GC5ulZ0V/0UlXCt/5QfIi32LXgyD5ptP0Geg9GtGuPc9m6BS6zF3oo8vsgG7RMTR4Bw14JwGzfy/RIWP0FlkWWyBL/sP31lj0zBilGzQI/F7pyOCbMfHFYTQ/B/kk/KKr5NqP1/MKc/S/dVVUVFRUTBwEPX8i5lBk6RoUSAAF6e79+Q3dComEJKMLXTGBbyyJShc6IzogOpD+UZWKe2N4qllRUVFRcZ9BW9rZDpeKXSdBpatlrYM12YI1CKi2oJz3KZW6qtXWkUp1PMEarF/9qIKu6I8asCsqKirmExwysy/ub5KdJ/GP3vjnRLWRJyv8wzq2zpxj0sJ2ZsFhQ1tdcwPbX7axtMa1uivujdoSr6ioqJjP4Ibtr7bPBk12OB9g/3nQ+YuKiUcN2BUVFRUVFQsAaku8oqKioqJiAUAN2BUVFRUVFQsAasCuqKioqKhYAFADdkVFRUVFxaRH0/wPlkpniODiqu0AAAAASUVORK5CYII=)"
],
"metadata": {
"id": "-27sAONGEUI8"
}
},
{
"cell_type": "code",
"source": [
"import itertools\n",
"import copy\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def get_shortest_paths_distances(graph, pairs, edge_weight_name): #計算節點對之間的最短路徑\n",
" distances = {}\n",
" for pair in pairs:\n",
" distances[pair] = nx.dijkstra_path_length(graph, pair[0], pair[1], weight=edge_weight_name)\n",
" return distances\n",
"\n",
"def get_shortest_paths_distances_list(graph, pairs, edge_weight_name): #計算節點對之間的最短路徑製作成list\n",
" dis = []\n",
" for pair in pairs:\n",
" dis.append((pair[0], pair[1], nx.dijkstra_path_length(graph, pair[0], pair[1], weight=edge_weight_name)))\n",
" return dis\n",
"\n",
"def get_shortest_paths_distances_dict(graph, pairs): #做成字典\n",
" data = {}\n",
" for pair in pairs:\n",
" data.setdefault(pair[0], pair[1])\n",
" return data\n",
"\n",
"def create_complete_graph(pair_weights, flip_weights=True):\n",
" g = nx.Graph()\n",
" for k, v in pair_weights.items():\n",
" wt_i = - v if flip_weights else v\n",
" g.add_edge(k[0], k[1], **{'distance': v, 'weight': wt_i})\n",
" return g\n",
"\n",
"def add_augmenting_path_to_graph(graph, min_weight_pairs):\n",
" graph_aug = nx.MultiGraph(graph.copy())\n",
" for pair in min_weight_pairs:\n",
" graph_aug.add_edge(pair[0],pair[1],**{'distance': nx.dijkstra_path_length(graph, pair[0], pair[1])})\n",
" return graph_aug\n",
"\n",
"def create_eulerian_circuit(graph_augmented, graph_original, starting_node=None):\n",
" euler_circuit = []\n",
" naive_circuit = list(nx.eulerian_circuit(graph_augmented))\n",
"\n",
" for edge in naive_circuit:\n",
" edge_data = graph_augmented.get_edge_data(edge[0], edge[1])\n",
" euler_circuit.append((edge[0], edge[1]))\n",
"\n",
" return euler_circuit\n",
"# 製圖\n",
"G = nx.Graph({1: [7,2], 2: [7,8,3,5], 3: [8,9,4,6], 4:[11], 5:[], 6:[], 7:[12], 8:[12], 9:[13,10,14], 10:[11], 11:[14], 12:[], 13:[], 14:[]})\n",
"fig=plt.figure(figsize=(8,4))\n",
"pos = {1:(0,5) ,2:(5,5) ,3:(10,5) ,4:(15,5) ,5:(5,0) ,6:(10,0) ,7:(0,10) ,8:(5,10) ,9:(10,10) ,10:(12,10), 11:(15,10) ,12:(2,15) ,13:(10,15),14:(12,15)}\n",
"ax1=fig.add_subplot(1,1,1)\n",
"nx.draw(G, pos, with_labels=True, node_color='red')\n",
"ax1.set_title('fig.1 : a simple graph')\n",
"\n",
"plt.show()\n",
"\n",
"print(nx.is_eulerian(G)) #判斷是否為尤拉回路\n",
"\n",
"nodes_odd_degree = [v for v, d in G.degree() if d % 2 == 1]\n",
"odd_node_pairs = list(itertools.combinations(nodes_odd_degree, 2))\n",
"odd_node_pairs_shortest_paths = get_shortest_paths_distances(G, odd_node_pairs, 'distance')\n",
"g_odd_complete = create_complete_graph(odd_node_pairs_shortest_paths, flip_weights=True)\n",
"odd_matching_dupes = nx.algorithms.max_weight_matching(g_odd_complete, True)\n",
"odd_matching_dupes_dict = get_shortest_paths_distances_dict(G, odd_matching_dupes)\n",
"odd_matching = list(pd.unique([tuple(sorted([k, v])) for k, v in odd_matching_dupes_dict.items()]))\n",
"dicta = get_shortest_paths_distances_dict(G,odd_matching)\n",
"g_aug = add_augmenting_path_to_graph(G, odd_matching) #要把奇數配對點新增進去擴充\n",
"euler_circuit = create_eulerian_circuit(g_aug, G, 'b_end_east')\n",
"odd_matching_dd = [(11,10),(10,9),(9,13),(8,2),(8,5)]\n",
"g_aug = add_augmenting_path_to_graph(G, odd_matching_dd) #要把奇數配對點新增進去擴充\n",
"# print('Number of nodes of odd degree: {}'.format(len(nodes_odd_degree))) #有幾個奇數節點\n",
"# print('Number of pairs: {}'.format(len(odd_node_pairs))) #奇數對有幾個\n",
"print(dict(list(odd_node_pairs_shortest_paths.items()))) #Dijkstra 算法實現來計算兩個奇數節點之間的最短路徑\n",
"#print('Number of edges in matching: {}'.format(len(odd_matching_dupes)))\n",
"#2 3 5 6 7 8 11 13\n",
"\n",
"#繪圖\n",
"g = nx.Graph()\n",
"figg=plt.figure(figsize=(8,4))\n",
"Pos = get_shortest_paths_distances_list(G, odd_node_pairs, 'dis')\n",
"for k in Pos:\n",
" g.add_edge(k[0],k[1],weight=k[2])\n",
"pos=nx.spring_layout(g)\n",
"ax1=figg.add_subplot(1,1,1)\n",
"weights = nx.get_edge_attributes(g, \"weight\")\n",
"nx.draw_networkx(g, pos, with_labels=True)\n",
"nx.draw_networkx_edge_labels(g, pos, edge_labels=weights)\n",
"ax1.set_title('fig.1 : a simple graph')\n",
"\n",
"plt.show()\n",
"\n",
"print('重複要走的奇數邊節點: {}'.format(odd_matching_dupes))\n",
"# (11, 13), (8, 5), (2, 7), (3, 6)\n",
"print()\n",
"print(\"最短路徑:\")\n",
"for i, edge in enumerate(euler_circuit):\n",
" if G.has_edge(i,edge):\n",
" print(i, edge)\n",
" else:\n",
" # print(nx.dijkstra_path(G,source=edge[0],target=edge[1]))\n",
" path=nx.dijkstra_path(G,source=edge[0],target=edge[1])\n",
" for j in range (0 ,len(path)-1):\n",
" print(\"[\"+str(path[j])+\",\"+str(path[j+1])+\"]\")\n"
],
"metadata": {
"id": "7es91qmOHDMu",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "4bba0351-a1cd-4a59-e55a-1095c152e57d"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 576x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"False\n",
"{(2, 3): 1, (2, 5): 1, (2, 6): 2, (2, 7): 1, (2, 8): 1, (2, 11): 3, (2, 13): 3, (3, 5): 2, (3, 6): 1, (3, 7): 2, (3, 8): 1, (3, 11): 2, (3, 13): 2, (5, 6): 3, (5, 7): 2, (5, 8): 2, (5, 11): 4, (5, 13): 4, (6, 7): 3, (6, 8): 2, (6, 11): 3, (6, 13): 3, (7, 8): 2, (7, 11): 4, (7, 13): 4, (8, 11): 3, (8, 13): 3, (11, 13): 3}\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 576x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"重複要走的奇數邊節點: {(11, 13), (8, 5), (2, 7), (3, 6)}\n",
"\n",
"最短路徑:\n",
"[1,2]\n",
"[2,5]\n",
"[5,2]\n",
"[2,8]\n",
"[8,3]\n",
"[3,6]\n",
"[6,3]\n",
"[3,4]\n",
"[4,11]\n",
"[11,14]\n",
"[14,9]\n",
"[9,10]\n",
"[10,11]\n",
"[11,10]\n",
"[10,9]\n",
"[9,13]\n",
"[13,9]\n",
"[9,3]\n",
"[3,2]\n",
"[2,8]\n",
"[8,12]\n",
"[12,7]\n",
"[7,2]\n",
"[2,7]\n",
"[7,1]\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"第六題\n",
"![螢幕擷取畫面 2022-12-24 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)"
],
"metadata": {
"id": "l3LfhrJgl_sX"
}
},
{
"cell_type": "markdown",
"source": [
"第七題\n",
"![image.png](data:image/png;base64,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)\n",
"![image.png](data:image/png;base64,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)\n"
],
"metadata": {
"id": "aBzVbytfq85_"
}
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"from networkx.algorithms.flow import shortest_augmenting_path\n",
"from networkx.algorithms.flow import edmonds_karp\n",
"import itertools\n",
"import copy\n",
"import pandas as pd\n",
"\n",
"# Adjacent Matrix\n",
"ma = [\n",
" [ 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0],\n",
" [ 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0],\n",
" [ 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0],\n",
" [ 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0],\n",
" [ 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0],\n",
" [ 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1],\n",
" [ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1],\n",
" [ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1],\n",
" [ 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1],\n",
" [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],\n",
" [ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0]\n",
" ]\n",
"\n",
"# 初始\n",
"node = \"abcdefghijk\"\n",
"t_={}\n",
"for i in range(len(ma)):\n",
" t_[node[i]] = i\n",
"\n",
"degree =[]\n",
"for i in range(len(ma)):\n",
" degree.append(sum(ma[i]))\n",
"\n",
"\n",
"colorDict = {}\n",
"for i in range(len(ma)):\n",
" colorDict[node[i]]=[\"Blue\",\"orange\",\"pink\",\"red\"]\n",
"\n",
"sortedNode=[]\n",
"indeks = []\n",
"\n",
"for i in range(len(degree)):\n",
" _max = 0\n",
" j = 0\n",
" for j in range(len(degree)):\n",
" if j not in indeks:\n",
" if degree[j] > _max:\n",
" _max = degree[j]\n",
" x = j\n",
" indeks.append(x)\n",
" sortedNode.append(node[x])\n",
"\n",
"theSolution={}\n",
"for n in sortedNode:\n",
" setTheColor = colorDict[n]\n",
" theSolution[n] = setTheColor[0]\n",
" adjacentNode = ma[t_[n]]\n",
" for j in range(len(adjacentNode)):\n",
" if adjacentNode[j]==1 and (setTheColor[0] in colorDict[node[j]]):\n",
" colorDict[node[j]].remove(setTheColor[0])\n",
"\n",
"# 座標\n",
"pos = {0:(25,40) ,1:(50,25) ,2:(40,0) ,3:(10,0) ,4:(0,25) ,5:(25,21) ,6:(35,14) ,7:(32,5) ,8:(15,5) ,9:(13,14), 10:(25,13)}\n",
"A = np.array(ma)\n",
"G = nx.from_numpy_matrix(A)\n",
"four_colors_graph = nx.from_numpy_matrix(A);\n",
"Colors=list(range(11))\n",
"\n",
"# 位置\n",
"for t,w in sorted(theSolution.items()):\n",
" Colors[ord(t)-97] = w\n",
"\n",
"# 畫圖\n",
"fig=plt.figure(figsize=(8,4))\n",
"\n",
"ax1=fig.add_subplot(1,2,1)\n",
"nx.draw(G, pos, with_labels=True)\n",
"ax1.set_title('graph')\n",
"\n",
"ax2=fig.add_subplot(1,2,2)\n",
"nx.draw_networkx(four_colors_graph,pos,node_color=Colors, with_labels=True)\n",
"ax2.set_title('The Grotzch graph: a 4-chrematic triangle-free graph')\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 264
},
"id": "B0smpfy_HZGm",
"outputId": "b81ad04e-1f25-44dc-d585-df63e473a7af"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 576x288 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
}
]
}
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