Use Prims algorithm for - less nodes, large number of edges
Use Kruskal's algorithm for - more nodes, less edges (http://www.codebytes.in/2015/03/kruskals-algorithm-implementation-in.html)
Source:
Output:
Added edge [0, 7 : 0.16] [7, 0 : 0.16]
Added edge [2, 3 : 0.17] [3, 2 : 0.17]
Added edge [1, 7 : 0.19] [7, 1 : 0.19]
Added edge [0, 2 : 0.26] [2, 0 : 0.26]
Added edge [5, 7 : 0.28] [7, 5 : 0.28]
Added edge [1, 3 : 0.29] [3, 1 : 0.29]
Added edge [1, 5 : 0.32] [5, 1 : 0.32]
Added edge [2, 7 : 0.34] [7, 2 : 0.34]
Added edge [4, 5 : 0.35] [5, 4 : 0.35]
Added edge [1, 2 : 0.36] [2, 1 : 0.36]
Added edge [4, 7 : 0.37] [7, 4 : 0.37]
Added edge [0, 4 : 0.38] [4, 0 : 0.38]
Added edge [6, 2 : 0.4] [2, 6 : 0.4]
Added edge [3, 6 : 0.52] [6, 3 : 0.52]
Added edge [6, 0 : 0.58] [0, 6 : 0.58]
Added edge [6, 4 : 0.93] [4, 6 : 0.93]
MST:
0 - 7 : 0.16
7 - 1 : 0.19
0 - 2 : 0.26
2 - 3 : 0.17
7 - 5 : 0.28
5 - 4 : 0.35
2 - 6 : 0.4
Use Kruskal's algorithm for - more nodes, less edges (http://www.codebytes.in/2015/03/kruskals-algorithm-implementation-in.html)
Source:
import java.util.*; public class PRIMS { static class EDGE{ int from, to; double weight; EDGE(int f, int t, double w){ from = f; to = t; weight = w; } } public static ArrayList<EDGE> prims(ArrayList<ArrayList<EDGE>> G){ if(G.isEmpty())throw new NullPointerException("The Graph is empty"); ArrayList<EDGE> mst = new ArrayList<>(); PriorityQueue<EDGE> pq = new PriorityQueue<>((Object o1, Object o2) -> { EDGE first = (EDGE)o1; EDGE second = (EDGE)o2; if(first.weight<second.weight)return -1; else if(first.weight>second.weight)return 1; else return 0; }); for(EDGE e:G.get(0)){ pq.add(e); } boolean[] marked = new boolean[G.size()]; marked[0] = true; while(!pq.isEmpty()){ EDGE e = pq.peek(); pq.poll(); if(marked[e.from] && marked[e.to])continue; marked[e.from] = true; for(EDGE edge:G.get(e.to)){ if(!marked[edge.to]){ pq.add(edge); } } marked[e.to] = true; mst.add(e); } return mst; } public static ArrayList<ArrayList<EDGE>> createGraph(EDGE[] edges){ ArrayList<ArrayList<EDGE>> G = new ArrayList<>(); int length = edges.length*2; for(int i=0;i<length;++i){ G.add(new ArrayList<>()); } for(EDGE e:edges){ EDGE other = new EDGE(e.to, e.from, e.weight); G.get(e.from).add(e); G.get(e.to).add(other); System.out.println("Added edge ["+e.from+", "+e.to+" : "+e.weight+"] "+"["+e.to+", "+e.from+" : "+e.weight+"]"); } return G; } public static void main(String[] args){ EDGE[] edges = new EDGE[16]; edges[0] = new EDGE(0, 7, 0.16); edges[1] = new EDGE(2, 3, 0.17); edges[2] = new EDGE(1, 7, 0.19); edges[3] = new EDGE(0, 2, 0.26); edges[4] = new EDGE(5, 7, 0.28); edges[5] = new EDGE(1, 3, 0.29); edges[6] = new EDGE(1, 5, 0.32); edges[7] = new EDGE(2, 7, 0.34); edges[8] = new EDGE(4, 5, 0.35); edges[9] = new EDGE(1, 2, 0.36); edges[10] = new EDGE(4, 7, 0.37); edges[11] = new EDGE(0, 4, 0.38); edges[12] = new EDGE(6, 2, 0.40); edges[13] = new EDGE(3, 6, 0.52); edges[14] = new EDGE(6, 0, 0.58); edges[15] = new EDGE(6, 4, 0.93); ArrayList<ArrayList<EDGE>> graph = createGraph(edges); ArrayList<EDGE> mst = prims(graph); System.out.println("MST: "); for(EDGE e:mst){ System.out.println(e.from+" - "+e.to+" : "+e.weight); } } }
Output:
Added edge [0, 7 : 0.16] [7, 0 : 0.16]
Added edge [2, 3 : 0.17] [3, 2 : 0.17]
Added edge [1, 7 : 0.19] [7, 1 : 0.19]
Added edge [0, 2 : 0.26] [2, 0 : 0.26]
Added edge [5, 7 : 0.28] [7, 5 : 0.28]
Added edge [1, 3 : 0.29] [3, 1 : 0.29]
Added edge [1, 5 : 0.32] [5, 1 : 0.32]
Added edge [2, 7 : 0.34] [7, 2 : 0.34]
Added edge [4, 5 : 0.35] [5, 4 : 0.35]
Added edge [1, 2 : 0.36] [2, 1 : 0.36]
Added edge [4, 7 : 0.37] [7, 4 : 0.37]
Added edge [0, 4 : 0.38] [4, 0 : 0.38]
Added edge [6, 2 : 0.4] [2, 6 : 0.4]
Added edge [3, 6 : 0.52] [6, 3 : 0.52]
Added edge [6, 0 : 0.58] [0, 6 : 0.58]
Added edge [6, 4 : 0.93] [4, 6 : 0.93]
MST:
0 - 7 : 0.16
7 - 1 : 0.19
0 - 2 : 0.26
2 - 3 : 0.17
7 - 5 : 0.28
5 - 4 : 0.35
2 - 6 : 0.4
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