Redes - Grafos

Author: Santserrano

digraphs.ipynb

@@ -0,0 +1,262 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 46,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "'A' --> 'G'\n",
+      "Mayor ancho de banda: A > B > D > F > G -> 950mb\n",
+      "El camino más corto: A > C > E > G -> 3 routers\n"
+     ]
+    },
+    {
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+       "<title>A&#45;&gt;B</title>\n",
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+       "<title>C&#45;&gt;E</title>\n",
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+       "<title>H&#45;&gt;G</title>\n",
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+       "</g>\n",
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+       "<title>F&#45;&gt;G</title>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<graphviz.graphs.Digraph at 0x1ff94897310>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from graphviz import Digraph\n",
+    "from collections import deque\n",
+    "from IPython.display import display\n",
+    "\n",
+    "def distancia_maxima(grafo, inicio):\n",
+    "    repr = {nodo: (float('-inf'), []) for nodo in grafo}\n",
+    "    repr[inicio] = (0, [inicio])\n",
+    "    no_visitados = set(grafo)\n",
+    "\n",
+    "    while no_visitados:\n",
+    "        nodo_max = max(no_visitados, key=lambda nodo: repr[nodo][0])\n",
+    "        no_visitados.remove(nodo_max)\n",
+    "\n",
+    "        for conector, peso in grafo[nodo_max].items():\n",
+    "            if conector in no_visitados: #---------------------------------------------------\n",
+    "                nueva_distancia = repr[nodo_max][0] + peso\n",
+    "                if nueva_distancia > repr[conector][0]: #Actualizamos solo si es mayor el ancho de banda\n",
+    "                    repr[conector] = (nueva_distancia, repr[nodo_max][1] + [conector])\n",
+    "    return repr\n",
+    "\n",
+    "def routers(grafo, inicio, fin):\n",
+    "    cola = deque([(inicio, [inicio])])\n",
+    "    visitados = set()\n",
+    "\n",
+    "    while cola:\n",
+    "        actual, camino = cola.popleft()\n",
+    "        if actual == fin: #Fin\n",
+    "            return camino\n",
+    "\n",
+    "        for vecino in grafo[actual]: #\n",
+    "            if vecino not in visitados:\n",
+    "                visitados.add(vecino)\n",
+    "                cola.append((vecino, camino + [vecino]))\n",
+    "\n",
+    "if __name__ == \"__main__\":\n",
+    "\n",
+    "    grafo = {\n",
+    "        'A': {'B': 200, 'C': 100},\n",
+    "        'B': {'D': 300},\n",
+    "        'C': {'D': 250, 'E': 200, 'H': 300},\n",
+    "        'D': {'E': 100, 'F': 250},\n",
+    "        'E': {'G': 300},\n",
+    "        'F': {'G': 200},\n",
+    "        'H': {'G': 400},\n",
+    "        'G': {}\n",
+    "    }\n",
+    "\n",
+    "    distancia_min = distancia_minima(grafo, 'A')\n",
+    "    distancia_max = distancia_maxima(grafo, 'A')\n",
+    "    cant_routers = routers(grafo, 'A', 'G')\n",
+    "    \n",
+    "    print(\"'A' --> 'G'\")\n",
+    "    print(f\"Mayor ancho de banda: {' > '.join(distancia_max['G'][1])} -> {distancia_max['G'][0]}mb\")\n",
+    "    print(f\"El camino más corto: {' > '.join(cant_routers)} -> {len(cant_routers) - 1} routers\")\n",
+    "    \n",
+    "    dot = Digraph(format='svg', graph_attr={'rankdir': 'LR'})\n",
+    "\n",
+    "    for nodo, conectores in grafo.items():\n",
+    "        dot.node(nodo)\n",
+    "        for conector, peso in conectores.items():\n",
+    "            dot.edge(nodo, conector, label=str(peso))\n",
+    "\n",
+    "\n",
+    "    display(dot)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
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+}