Below is the example to find out the shortest path between edges......
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;
import java.util.PriorityQueue;
public class Dijkstra {
public static void computePaths(Vertex source) {
source.minDistance = 0.;
PriorityQueue<Vertex> vertexQueue = new PriorityQueue<Vertex>();
vertexQueue.add(source);
while (!vertexQueue.isEmpty()) {
Vertex u = vertexQueue.poll();
// Visit each edge exiting u
for (Edge e : u.adjacencies) {
Vertex v = e.target;
double weight = e.weight;
double distanceThroughU = u.minDistance + weight;
if (distanceThroughU < v.minDistance) {
vertexQueue.remove(v);
v.minDistance = distanceThroughU;
v.previous = u;
vertexQueue.add(v);
}
}
}
}
public static List<Vertex> getShortestPathTo(Vertex target) {
List<Vertex> path = new ArrayList<Vertex>();
for (Vertex vertex = target; vertex != null; vertex = vertex.previous)
path.add(vertex);
Collections.reverse(path);
return path;
}
public static void main(String[] args) {
MinimumWindow a = new MinimumWindow();
Vertex v0 = a.new Vertex("Redvile");
Vertex v1 = a.new Vertex("Blueville");
Vertex v2 = a.new Vertex("Greenville");
Vertex v3 = a.new Vertex("Orangeville");
Vertex v4 = a.new Vertex("Purpleville");
v0.adjacencies = new Edge[] { a.new Edge(v1, 5), a.new Edge(v2, 10),a.new Edge(v3, 8) };
v1.adjacencies = new Edge[] { a.new Edge(v0, 5), a.new Edge(v2, 3),a.new Edge(v4, 7) };
v2.adjacencies = new Edge[] { a.new Edge(v0, 10), a.new Edge(v1, 3) };
v3.adjacencies = new Edge[] { a.new Edge(v0, 8), a.new Edge(v4, 2) };
v4.adjacencies = new Edge[] { a.new Edge(v1, 7), a.new Edge(v3, 2) };
Vertex[] vertices = { v0, v1, v2, v3, v4 };
computePaths(v0);
for (Vertex v : vertices) {
System.out.println("Distance to " + v + ": " + v.minDistance);
List<Vertex> path = getShortestPathTo(v);
System.out.println("Path: " + path);
}
}
public class Vertex implements Comparable<Vertex> {
public final String name;
public Edge[] adjacencies;
public double minDistance = Double.POSITIVE_INFINITY;
public Vertex previous;
public Vertex(String argName) {
name = argName;
}
public String toString() {
return name;
}
public int compareTo(Vertex other) {
return Double.compare(minDistance, other.minDistance);
}
}
class Edge {
public final Vertex target;
public final double weight;
public Edge(Vertex argTarget, double argWeight) {
target = argTarget;
weight = argWeight;
}
}
}
Below is the output...
Distance to Redvile: 0.0
Path: [Redvile]
Distance to Blueville: 5.0
Path: [Redvile, Blueville]
Distance to Greenville: 8.0
Path: [Redvile, Blueville, Greenville]
Distance to Orangeville: 8.0
Path: [Redvile, Orangeville]
Distance to Purpleville: 10.0
Path: [Redvile, Orangeville, Purpleville]