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Copy pathDijkstra's Shortest Path Algorithm.java
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Dijkstra's Shortest Path Algorithm.java
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import java.util.*;
class DijkstraAlgorithm {
private static final int INF = Integer.MAX_VALUE;
public static void dijkstra(int[][] graph, int source) {
int vertices = graph.length;
int[] distance = new int[vertices];
boolean[] visited = new boolean[vertices];
for (int i = 0; i < vertices; i++) {
distance[i] = INF;
visited[i] = false;
}
distance[source] = 0;
for (int i = 0; i < vertices - 1; i++) {
int minDistance = findMinDistance(distance, visited);
visited[minDistance] = true;
for (int j = 0; j < vertices; j++) {
if (!visited[j] && graph[minDistance][j] != 0 && distance[minDistance] != INF
&& distance[minDistance] + graph[minDistance][j] < distance[j]) {
distance[j] = distance[minDistance] + graph[minDistance][j];
}
}
}
printShortestPaths(distance);
}
private static int findMinDistance(int[] distance, boolean[] visited) {
int minDistance = INF;
int minIndex = -1;
int vertices = distance.length;
for (int i = 0; i < vertices; i++) {
if (!visited[i] && distance[i] < minDistance) {
minDistance = distance[i];
minIndex = i;
}
}
return minIndex;
}
private static void printShortestPaths(int[] distance) {
int vertices = distance.length;
System.out.println("Vertex \t Shortest Distance from Source");
for (int i = 0; i < vertices; i++) {
System.out.println(i + " \t " + distance[i]);
}
}
public static void main(String[] args) {
int[][] graph = {
{0, 4, 0, 0, 0, 0, 0, 8, 0},
{4, 0, 8, 0, 0, 0, 0, 11, 0},
{0, 8, 0, 7, 0, 4, 0, 0, 2},
{0, 0, 7, 0, 9, 14, 0, 0, 0},
{0, 0, 0, 9, 0, 10, 0, 0, 0},
{0, 0, 4, 14, 10, 0, 2, 0, 0},
{0, 0, 0, 0, 0, 2, 0, 1, 6},
{8, 11, 0, 0, 0, 0, 1, 0, 7},
{0, 0, 2, 0, 0, 0, 6, 7, 0}
};
dijkstra(graph, 0);
}
}