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Dijkstra.java
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Dijkstra.java
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package Java.Graphs;
import java.util.Scanner;
public class Dijkstra{
private static void dijkstra(int[][] adjacencyMatrix){
int v = adjacencyMatrix.length;
boolean visited[] = new boolean[v];
int distance[] = new int[v];
distance[0] = 0;
//Initial value of all vertex is set to infinity except first vertex
for(int i = 1; i < v; i++){
distance[i] = Integer.MAX_VALUE;
}
//Traversing through all vertex
for(int i = 0; i < v-1; i++){
int minVertex = findMinVertex(distance, visited);
visited[minVertex] = true;
//Exploring neighbors
for(int j = 0; j < v; j++){
if(adjacencyMatrix[minVertex][j] != 0 && !visited[j] && distance[minVertex] != Integer.MAX_VALUE){
int newDist = distance[minVertex] + adjacencyMatrix[minVertex][j];
if(newDist < distance[j]){
distance[j] = newDist;
}
}
}
}
//Printing
for(int i = 0; i < v; i++){
System.out.println(i + " "+ distance[i]);
}
}
//Finding minimum distance
private static int findMinVertex(int[] distance, boolean visited[]){
int minVertex = -1;
for(int i = 0; i < distance.length; i++){
if(!visited[i] && (minVertex == -1 || distance[i] < distance[minVertex])){
minVertex = i;
}
}
return minVertex;
}
//Driver code
public static void main(String[] args){
try (Scanner s = new Scanner(System.in)) {
int v = s.nextInt();
int e = s.nextInt();
int adjacencyMatrix[][] = new int[v][v];
for(int i = 0; i< e; i++){
int v1 = s.nextInt();
int v2 = s.nextInt();
int weight = s.nextInt();
adjacencyMatrix[v1][v2] = weight;
adjacencyMatrix[v2][v1] = weight;
}
dijkstra(adjacencyMatrix);
}
}
}