{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "s spodnjo funkcijo generiramo vse eno ciklične grafe na n vozliščih. Funkcija deluje počasi že za 8 vozlišč. grafov je takrat že več 89 tako, da celostno analizo za večje število vozlič sploh ni smiselno računati.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "eno_ciklicni =[]\n", "for G in graphs(5, size=5):\n", " if G.is_connected():\n", " if len(G.cycle_basis('vertex')) == 1:\n", " eno_ciklicni.append(G)\n", " #G.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "len(eno_ciklicni)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "def AZIvrednost(graf, alpha=3): #Izračun AZI vrednost za nek graf\n", " vsota = 0\n", " for u in graf:\n", " for v in graf[u]:\n", " vsota = vsota + ((len(graf[u]) *len(graf[v]))/(len(graf[u]) + len(graf[v]) - 2))^(alpha)\n", " return vsota/2" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "AZI_vred = {}\n", "for G in eno_ciklicni:\n", " a = AZIvrednost(G, 3)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "poračunamo ekstremalne vrednosti AZI za vse enciklične grafe in jo izpišemo skupaj z pripadajočim grafom" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "40\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 5 vertices" ] }, "execution_count": 7, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "776/27\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 5 vertices" ] }, "execution_count": 8, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Za velika števila bomo poizkušali rezultat dobiti z iskanjem maksimuma po metodi spreminjanja do sedaj najbolše metode, dela do n=40\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "def generiranje_grafa(n):\n", " A = graphs.RandomTree(n)\n", " A.add_edge(A.complement().random_edge(labels=False))\n", " return A" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 21 graphics primitives" ] }, "execution_count": 10, "metadata": { }, "output_type": "execute_result" } ], "source": [ "graf = B = generiranje_grafa(10)\n", "B.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "from random import choice\n", "def minima(graf, n=100, alpha=3):\n", " i=0\n", " najboljsa = trenutna = AZIvrednost(graf, 3)\n", " najboljsi_graf = graf\n", " for j in range(n):\n", " T = n/(j+1)\n", " e = graf.random_edge(labels=False)\n", " i += 1\n", " K = Graph(graf)\n", " if i > n:\n", " return(AZIvrednost(K, 3))\n", " K.delete_edge(e)\n", " if K.is_connected():\n", " e = K.complement().random_edge()\n", " else:\n", " A, B = K.connected_components()\n", " e = (choice(A), choice(B))\n", " K.add_edge(e)\n", " a = AZIvrednost(K, 3)\n", " if a < najboljsa:\n", " najboljsi_graf = K\n", " najboljsa = a\n", " if a < trenutna or exp((trenutna - a) / T) > random():\n", " graf = K\n", " trenutna = a\n", " najboljsi_graf.show()\n", " return (najboljsi_graf, najboljsa)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "from random import choice\n", "def maxima(graf, n=100, alpha=3):\n", " i = 0\n", " najboljsa = trenutna = AZIvrednost(graf, alpha)\n", " najboljsi_graf = graf\n", " for j in range(n):\n", " T = n/(j+1)\n", " e = graf.random_edge(labels=False)\n", " i += 1\n", " K = Graph(graf)\n", " if i > n:\n", " return(AZIvrednost(K, alpha))\n", " K.delete_edge(e)\n", " if K.is_connected():\n", " e = K.complement().random_edge()\n", " else:\n", " A, B = K.connected_components()\n", " e = (choice(A), choice(B))\n", " K.add_edge(e)\n", " a = AZIvrednost(K, alpha)\n", " if a > najboljsa:\n", " najboljsi_graf = K\n", " najboljsa = a\n", " if a > trenutna or exp((trenutna - a) / T) > random():\n", " graf = K\n", " trenutna = a\n", " najboljsi_graf.show()\n", " return (najboljsi_graf, najboljsa)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 101 graphics primitives" ] }, "execution_count": 18, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/plain": [ "(Graph on 50 vertices, 5920376509/12348000)" ] }, "execution_count": 18, "metadata": { }, "output_type": "execute_result" } ], "source": [ "graf = B = generiranje_grafa(50)\n", "maxima(B, 100000)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", 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