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https://github.com/TheAlgorithms/JavaScript.git
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Merge branch 'master' into master
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vinayak
@@ -1,66 +1,71 @@
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// starting at s
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function solve (graph, s) {
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var solutions = {}
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solutions[s] = []
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solutions[s].dist = 0
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function solve(graph, s) {
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var solutions = {};
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solutions[s] = [];
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solutions[s].dist = 0;
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while(true) {
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var p = null;
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var neighbor = null;
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var dist = Infinity;
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for(var n in solutions) {
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if(!solutions[n])
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continue
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var ndist = solutions[n].dist;
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var adj = graph[n];
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for(var a in adj) {
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while (true) {
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var p = null
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var neighbor = null
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var dist = Infinity
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for (var n in solutions) {
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if (!solutions[n]) { continue }
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var ndist = solutions[n].dist
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var adj = graph[n]
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for (var a in adj) {
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if (solutions[a]) { continue }
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var d = adj[a] + ndist
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if (d < dist) {
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p = solutions[n]
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neighbor = a
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dist = d
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if(solutions[a])
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continue;
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var d = adj[a] + ndist;
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if(d < dist) {
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p = solutions[n];
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neighbor = a;
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dist = d;
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}
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}
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}
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// no more solutions
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if (dist === Infinity) {
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break
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//no more solutions
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if(dist === Infinity) {
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break;
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}
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// extend parent's solution path
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solutions[neighbor] = p.concat(neighbor)
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// extend parent's cost
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solutions[neighbor].dist = dist
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//extend parent's solution path
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solutions[neighbor] = p.concat(neighbor);
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//extend parent's cost
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solutions[neighbor].dist = dist;
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}
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return solutions
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return solutions;
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}
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// create graph
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var graph = {}
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//create graph
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var graph = {};
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var layout = {
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R: ['2'],
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2: ['3', '4'],
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3: ['4', '6', '13'],
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4: ['5', '8'],
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5: ['7', '11'],
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6: ['13', '15'],
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7: ['10'],
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8: ['11', '13'],
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9: ['14'],
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10: [],
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11: ['12'],
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12: [],
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13: ['14'],
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14: [],
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15: []
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'R': ['2'],
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'2': ['3','4'],
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'3': ['4','6','13'],
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'4': ['5','8'],
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'5': ['7','11'],
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'6': ['13','15'],
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'7': ['10'],
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'8': ['11','13'],
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'9': ['14'],
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'10': [],
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'11': ['12'],
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'12': [],
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'13': ['14'],
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'14': [],
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'15': []
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}
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// convert uni-directional to bi-directional graph
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//convert uni-directional to bi-directional graph
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// var graph = {
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// a: {e:1, b:1, g:3},
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// b: {a:1, c:1},
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@@ -72,25 +77,27 @@ var layout = {
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// h: {f:1}
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// };
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for (var id in layout) {
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if (!graph[id]) { graph[id] = {} }
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layout[id].forEach(function (aid) {
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graph[id][aid] = 1
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if (!graph[aid]) { graph[aid] = {} }
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graph[aid][id] = 1
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})
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for(var id in layout) {
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if(!graph[id])
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graph[id] = {};
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layout[id].forEach(function(aid) {
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graph[id][aid] = 1;
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if(!graph[aid])
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graph[aid] = {};
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graph[aid][id] = 1;
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});
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}
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// choose start node
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var start = '10'
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// get all solutions
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var solutions = solve(graph, start)
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//choose start node
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var start = '10';
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//get all solutions
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var solutions = solve(graph, start);
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console.log("From '" + start + "' to")
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// display solutions
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for (var s in solutions) {
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if (!solutions[s]) continue
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console.log(' -> ' + s + ': [' + solutions[s].join(', ') + '] (dist:' + solutions[s].dist + ')')
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console.log("From '"+start+"' to");
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//display solutions
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for(var s in solutions) {
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if(!solutions[s]) continue;
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console.log(" -> " + s + ": [" + solutions[s].join(", ") + "] (dist:" + solutions[s].dist + ")");
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}
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// From '10' to
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164
maths/graph.js
164
maths/graph.js
@@ -1,89 +1,95 @@
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// create a graph class
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class Graph {
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// defining vertex array and
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// adjacent list
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constructor (noOfVertices) {
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this.noOfVertices = noOfVertices
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this.AdjList = new Map()
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}
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// functions to be implemented
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// addVertex(v)
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// addEdge(v, w)
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// printGraph()
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// bfs(v)
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// dfs(v)
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// create a graph class
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class Graph {
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// defining vertex array and
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// adjacent list
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constructor(noOfVertices)
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{
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this.noOfVertices = noOfVertices;
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this.AdjList = new Map();
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}
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// functions to be implemented
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// addVertex(v)
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// addEdge(v, w)
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// printGraph()
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// bfs(v)
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// dfs(v)
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}
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// add vertex to the graph
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addVertex(v)
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{
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// initialize the adjacent list with a
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// null array
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this.AdjList.set(v, [])
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// add vertex to the graph
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addVertex(v)
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{
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// initialize the adjacent list with a
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// null array
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this.AdjList.set(v, []);
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}
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// add edge to the graph
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addEdge(v, w)
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{
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// get the list for vertex v and put the
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// vertex w denoting edge between v and w
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this.AdjList.get(v).push(w)
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// add edge to the graph
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addEdge(v, w)
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{
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// get the list for vertex v and put the
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// vertex w denoting edge between v and w
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this.AdjList.get(v).push(w);
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// Since graph is undirected,
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// add an edge from w to v also
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this.AdjList.get(w).push(v);
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}
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// Since graph is undirected,
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// add an edge from w to v also
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this.AdjList.get(w).push(v)
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// Prints the vertex and adjacency list
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printGraph()
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{
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// get all the vertices
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var get_keys = this.AdjList.keys();
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// iterate over the vertices
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for (var i of get_keys)
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{
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// great the corresponding adjacency list
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// for the vertex
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var get_values = this.AdjList.get(i);
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var conc = "";
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// iterate over the adjacency list
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// concatenate the values into a string
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for (var j of get_values)
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conc += j + " ";
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// print the vertex and its adjacency list
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console.log(i + " -> " + conc);
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}
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}
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// Prints the vertex and adjacency list
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printGraph()
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{
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// get all the vertices
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var get_keys = this.AdjList.keys()
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// iterate over the vertices
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for (var i of get_keys) {
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// great the corresponding adjacency list
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// for the vertex
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var get_values = this.AdjList.get(i)
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var conc = ''
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// iterate over the adjacency list
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// concatenate the values into a string
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for (var j of get_values) { conc += j + ' ' }
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// print the vertex and its adjacency list
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console.log(i + ' -> ' + conc)
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}
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}
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// Example
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var graph = new Graph(6)
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var vertices = ['A', 'B', 'C', 'D', 'E', 'F']
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var graph = new Graph(6);
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var vertices = [ 'A', 'B', 'C', 'D', 'E', 'F' ];
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// adding vertices
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for (var i = 0; i < vertices.length; i++) {
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g.addVertex(vertices[i]);
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}
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// adding edges
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g.addEdge('A', 'B');
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g.addEdge('A', 'D');
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g.addEdge('A', 'E');
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g.addEdge('B', 'C');
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g.addEdge('D', 'E');
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g.addEdge('E', 'F');
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g.addEdge('E', 'C');
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g.addEdge('C', 'F');
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// prints all vertex and
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// its adjacency list
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// A -> B D E
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// B -> A C
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// C -> B E F
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// D -> A E
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// E -> A D F C
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// F -> E C
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g.printGraph();
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// adding vertices
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for (var i = 0; i < vertices.length; i++) {
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g.addVertex(vertices[i])
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}
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// adding edges
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g.addEdge('A', 'B')
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g.addEdge('A', 'D')
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g.addEdge('A', 'E')
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g.addEdge('B', 'C')
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g.addEdge('D', 'E')
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g.addEdge('E', 'F')
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g.addEdge('E', 'C')
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g.addEdge('C', 'F')
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// prints all vertex and
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// its adjacency list
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// A -> B D E
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// B -> A C
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// C -> B E F
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// D -> A E
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// E -> A D F C
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// F -> E C
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g.printGraph()
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