test

Maki_Exercise5.ipynb

@@ -0,0 +1,154 @@
+{
+ "cells": [
+  {
+   "cell_type": "raw",
+   "metadata": {},
+   "source": [
+    "HW(3): Directed vs Undirected graphs \n",
+    "    http://web.cecs.pdx.edu/~sheard/course/Cs163/Doc/Graphs.html"
+   ]
+  },
+  {
+   "cell_type": "raw",
+   "metadata": {},
+   "source": [
+    "HW(3): Adjacency lists vs matrices \n",
+    "    http://xlinux.nist.gov/dads/HTML/adjacencyListRep.html"
+   ]
+  },
+  {
+   "cell_type": "raw",
+   "metadata": {},
+   "source": [
+    "HW(3):Implement a function taht creates a fully connected graph"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "graph = {'A': ['B', 'C','D','E','F'],\n",
+    "             'B': ['A','C','D','E','F'],\n",
+    "             'C': ['A','B','D','E','F'],\n",
+    "             'D': ['A','B','C','E','F'],\n",
+    "             'E': ['A','B','C','D','F'],\n",
+    "             'F': ['A','B','C','D','E']}\n",
+    "def find_path(graph, start, end, path=[]):\n",
+    "        path = path + [start]\n",
+    "        if start == end:\n",
+    "            return path\n",
+    "        if not graph.has_key(start):\n",
+    "            return None\n",
+    "        for node in graph[start]:\n",
+    "            if node not in path:\n",
+    "                newpath = find_path(graph, node, end, path)\n",
+    "                if newpath: return newpath\n",
+    "        return None\n",
+    "print graph\n",
+    "print find_path(graph,'A','F')\n",
+    "def find_all_paths(graph, start, end, path=[]):\n",
+    "        path = path + [start]\n",
+    "        if start == end:\n",
+    "            return [path]\n",
+    "        if not graph.has_key(start):\n",
+    "            return []\n",
+    "        paths = []\n",
+    "        for node in graph[start]:\n",
+    "            if node not in path:\n",
+    "                newpaths = find_all_paths(graph, node, end, path)\n",
+    "                for newpath in newpaths:\n",
+    "                    paths.append(newpath)\n",
+    "        return paths\n",
+    "find_all_paths(graph, 'A', 'D')\n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "raw",
+   "metadata": {},
+   "source": [
+    "HW(3): Implement a function that creates a randomly connected graph"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "V = {1:'A',2:'B',3:'C',4:'D',5:'E',6:'F'} # number of verticies : n = 6\n",
+    "# I am going to generate DIRECTED random graphs by using a 'random' command and dictionaries. Because the number of edges and the end verticy(ies) from a verticy has no correlation to others, it is simply a linear relationship.\n",
+    "\n",
+    "import random\n",
+    "from random import randint\n",
+    "import string\n",
+    "def id_generator(size, chars=string.ascii_uppercase):\n",
+    "    return \"\".join(random.sample(chars,size))\n",
+    "graph = {}\n",
+    "i = 0\n",
+    "v = \"ABCDEF\"\n",
+    "for i in V:\n",
+    "    e = (randint(0,5))#For n numbers of verticy, number of edge(s) :e extends from each verticy is randomly selected from 0 to n-1\n",
+    "    ev = v.replace(V[i],\"\") #combinatioin of verticies that have possibility to be connected with the start-verticy\n",
+    "    print e, ev\n",
+    "    graph[V[i]] = list(id_generator(e,ev))\n",
+    "    i +=1\n",
+    "print graph\n",
+    "#Every run randomly generates a different graph.\n",
+    "\n",
+    "def find_path(graph, start, end, path=[]):\n",
+    "        path = path + [start]\n",
+    "        if start == end:\n",
+    "            return path\n",
+    "        if not graph.has_key(start):\n",
+    "            return None\n",
+    "        for node in graph[start]:\n",
+    "            if node not in path:\n",
+    "                newpath = find_path(graph, node, end, path)\n",
+    "                if newpath: return newpath\n",
+    "        return None\n",
+    "find_path(graph,'A','F')\n",
+    "def find_all_paths(graph, start, end, path=[]):\n",
+    "        path = path + [start]\n",
+    "        if start == end:\n",
+    "            return [path]\n",
+    "        if not graph.has_key(start):\n",
+    "            return []\n",
+    "        paths = []\n",
+    "        for node in graph[start]:\n",
+    "            if node not in path:\n",
+    "                newpaths = find_all_paths(graph, node, end, path)\n",
+    "                for newpath in newpaths:\n",
+    "                    paths.append(newpath)\n",
+    "        return paths"
+   ]
+  }
+ ],
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+   "display_name": "Python 2",
+   "language": "python",
+   "name": "python2"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}