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@methodin
Created January 8, 2012 06:33
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Prim's Algorithm
// Represents an edge from source to sink with capacity
var Edge = function(source, sink, capacity) {
this.source = source;
this.sink = sink;
this.capacity = capacity;
};
// Main class to manage the network
var Graph = function() {
this.edges = {};
this.nodes = [];
this.nodeMap = {};
// Add a node to the graph
this.addNode = function(node) {
this.nodes.push(node);
this.nodeMap[node] = this.nodes.length-1;
this.edges[node] = [];
};
// Add an edge from source to sink with capacity
this.addEdge = function(source, sink, capacity) {
// Create the two edges = one being the reverse of the other
this.edges[source].push(new Edge(source, sink, capacity));
this.edges[sink].push(new Edge(sink, source, capacity));
};
// Does edge from source to sink exist?
this.edgeExists = function(source, sink) {
if(this.edges[source] !== undefined)
for(var i=0;i<this.edges[source].length;i++)
if(this.edges[source][i].sink == sink)
return this.edges[source][i];
return null;
};
};
function Prim(graph) {
var result = [];
var usedNodes = {};
function findMin(g) {
var min = [999999,null];
for(var i=0;i<result.length;i++)
for(var n=0;n<g.edges[result[i]].length;n++)
if(g.edges[result[i]][n].capacity < min[0] && usedNodes[g.edges[result[i]][n].sink] === undefined)
min = [g.edges[result[i]][n].capacity, g.edges[result[i]][n].sink];
return min[1];
}
// Pick random start point
var node = g.nodes[Math.round(Math.random()*(g.nodes.length-1))];
result.push(node);
usedNodes[node] = true;
var min = findMin(g);
while(min != null) {
result.push(min);
usedNodes[min] = true;
min = findMin(g);
}
return result;
};
var g = new Graph();
g.addNode('a');
g.addNode('b');
g.addNode('c');
g.addNode('d');
g.addNode('e');
g.addNode('f');
g.addEdge('a','b',1);
g.addEdge('b','c',3);
g.addEdge('a','d',3);
g.addEdge('b','d',2);
g.addEdge('d','e',3);
g.addEdge('b','e',6);
g.addEdge('b','f',5);
g.addEdge('c','e',4);
g.addEdge('e','f',2);
g.addEdge('c','f',4);
var result = Prim(g);
document.write('<h2>Result</h2>');
document.write(result);
@riyafa
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riyafa commented Dec 7, 2014

What is the returned result? Is it an array of nodes or an array of edges?

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