{ "cells": [ { "cell_type": "markdown", "id": "ffe37ae2", "metadata": {}, "source": [ "**G=graphs.PetersenGraph()** # génère le fameux graphe de Petersen\n", "\n", "**G=graphs.RandomGNP(20,0.2)** # génère un graphe aléatoire à 20 sommets où chaque arête est présente avec probabilité 0.2 = 1/5\n", "\n", "**randrange(1,100)** # qui renvoie un entier entre 1 et 100 au hasard\n", "\n", "**G.plot(vertex_colors={'red':S})** # colorant les sommets de S d’une couleur spécifique, par exemple en rouge" ] }, { "cell_type": "markdown", "id": "a2d5e413", "metadata": {}, "source": [ "# Exercice 1\n", "Coder et tester une fonction CS_PLNE(G,c) qui prend en entrée un graphe et son dictionnaire de coûts,\n", "et renvoie une solution pour la couverture par sommets (sous forme de liste par exemple)." ] }, { "cell_type": "code", "execution_count": 272, "id": "baecf7e3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Valeur optimale: 87660.0\n", "Couverture par sommets optimale : [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 10107 graphics primitives" ] }, "execution_count": 272, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def CS_PLNE(G, c):\n", " p = MixedIntegerLinearProgram(maximization=False) # Crée un PL de minimisation\n", " vars = p.new_variable(integer=True, nonnegative=True) # vars est un dictionnaire qui contiendra les variables du PL ici ce sont des variables entières et non-négatives\n", "\n", " # Définir la fonction objectif\n", " p.set_objective(sum(vars[v] * c[v] for v in G.vertices()))\n", "\n", " # Ajouter les contraintes\n", " for e in G.edges():\n", " p.add_constraint(vars[e[0]] + vars[e[1]] >= 1)\n", "\n", " for v in G.vertices():\n", " p.add_constraint(vars[v] <= 1)\n", "\n", " # Résoudre le PL\n", " opt = p.solve() # Résoudre le PL\n", " print(\"Valeur optimale:\", opt)\n", "\n", " # Construire la liste des sommets sélectionnés\n", " selected_vertices = [v for v in G.vertices() if p.get_values(vars[v]) == 1]\n", "\n", " return selected_vertices\n", "\n", "# Exemple d'utilisation\n", "G = graphs.RandomGNP(200,0.5) \n", "c = {}\n", "for i in G.vertices() :\n", " c[i] = randrange(1,1000)\n", "\n", "# print (c)\n", "\n", "\n", "\n", "solution = CS_PLNE(G, c)\n", "print(\"Couverture par sommets optimale :\", solution)\n", "G.plot(vertex_colors={'red':solution})" ] }, { "cell_type": "markdown", "id": "6e71d909", "metadata": {}, "source": [ "# Exercice 2" ] }, { "cell_type": "code", "execution_count": 271, "id": "3222cbcc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Couverture par sommets optimale : [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 82 graphics primitives" ] }, "execution_count": 271, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def CS_arrondiPL(G, c):\n", " p = MixedIntegerLinearProgram(maximization=False) # Create a minimization MILP\n", " vars = p.new_variable(nonnegative=True) # vars is a dictionary containing non-negative variables\n", "\n", " # Set up the objective function\n", " p.set_objective(sum(vars[v] * c[v] for v in G.vertices()))\n", "\n", " # Add constraints similar to the PLNE, excluding the integrality constraint\n", " for e in G.edges():\n", " p.add_constraint(vars[e[0]] + vars[e[1]] >= 1)\n", "\n", " for v in G.vertices():\n", " p.add_constraint(vars[v] <= 1)\n", "\n", " # Solve the linear relaxation of the problem\n", " opt_relax = p.solve()\n", "\n", " # Round the solution\n", " rounded_solution = [v for v in G.vertices() if p.get_values(vars[v]) >= 0.5]\n", "\n", " return rounded_solution\n", "\n", "# Exemple d'utilisation\n", "G = graphs.RandomGNP(20,0.3) \n", "c = {}\n", "for i in G.vertices() :\n", " c[i] = randrange(1,100)\n", "\n", "\n", "solution = CS_arrondiPL(G, c)\n", "print(\"Couverture par sommets optimale :\", solution)\n", "G.plot(vertex_colors={'red':solution})" ] }, { "cell_type": "markdown", "id": "77c33a24", "metadata": {}, "source": [ "# Exercice 3" ] }, { "cell_type": "code", "execution_count": 203, "id": "61dd41ab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Couverture par sommets optimale : [12, 19, 10, 5, 0, 15, 2, 4, 17, 6, 13, 14, 8, 18]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 81 graphics primitives" ] }, "execution_count": 203, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def CS_greedy(G, c):\n", " arêtes_non_couv = set(G.edges())\n", " solution = []\n", "\n", " while arêtes_non_couv:\n", " meilleur_sommet = None\n", " meilleur_score = 0\n", "\n", " for v in G.vertices():\n", " arêtes_couv_par_v = set(arête for arête in arêtes_non_couv if v in arête)\n", " score = len(arêtes_couv_par_v) / c[v] if c[v] > 0 else 0\n", "\n", " if score > meilleur_score:\n", " meilleur_score = score\n", " meilleur_sommet = v\n", "\n", " if meilleur_sommet is not None:\n", " solution.append(meilleur_sommet)\n", " # Mettre à jour l'ensemble des arêtes non couvertes\n", " arêtes_non_couv -= set(arête for arête in arêtes_non_couv if meilleur_sommet in arête)\n", "\n", " return solution\n", "\n", "# Exemple d'utilisation\n", "G = graphs.RandomGNP(20,0.3) \n", "c = {}\n", "for i in G.vertices() :\n", " c[i] = randrange(1,100)\n", "\n", "\n", "solution = CS_greedy(G, c)\n", "print(\"Couverture par sommets optimale :\", solution)\n", "G.plot(vertex_colors={'red':solution})" ] }, { "cell_type": "markdown", "id": "151277c9", "metadata": {}, "source": [ "# Exercice 4" ] }, { "cell_type": "code", "execution_count": 217, "id": "8a16873e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Valeur optimale: 6.0\n", "Valeur optimale: 6.0\n", "Valeur optimale: 14.0\n", "Valeur optimale: 14.0\n", "[10, 6, 0.005153291998794884, 9, 0.0016569580002396833, 7, 0.00029595799969683867]\n", "[20, 14, 0.0075627499991242075, 20, 0.0030504580008710036, 16, 0.0012201669997011777]\n" ] } ], "source": [ "# Function to create a table of results\n", "def compare_algorithms(graph_sizes):\n", " resultats = []\n", "\n", " for size in graph_sizes:\n", " # Generate a random graph\n", " G = graphs.RandomGNP(size, 0.5)\n", "\n", " # Assign random costs to vertices\n", " c = {v: 1 for v in G.vertices()}\n", "\n", " # Measure time and quality for each algorithm\n", " plne_time = timeit.timeit(lambda: CS_PLNE(G, c), number=1)\n", " plne_solution = len(CS_PLNE(G, c)) # Assuming CS_PLNE returns the list of selected vertices\n", "\n", " pl_time = timeit.timeit(lambda: CS_arrondiPL(G, c), number=1)\n", " pl_solution = len(CS_arrondiPL(G, c)) # Assuming CS_arrondiPL returns the list of selected vertices\n", " \n", " greedy_time = timeit.timeit(lambda: CS_greedy(G, c), number=1)\n", " greedy_solution = len(CS_greedy(G, c)) # Assuming CS_greedy returns the list of selected vertices\n", "\n", " # Append results to the table\n", " resultats.append([size, plne_solution, plne_time, pl_solution, pl_time, greedy_solution, greedy_time])\n", "\n", " return resultats\n", "\n", "# Example usage\n", "graph_sizes = [10, 20]\n", "results = compare_algorithms(graph_sizes)\n", "\n", "# Display the results table\n", "for row in results:\n", " print(row)" ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 10.1", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.1" } }, "nbformat": 4, "nbformat_minor": 5 }