Java Program to Implement Kosaraju Algorithm

This is a Java Program to Implement Kosaraju Algorithm. Kosaraju’s algorithm is a linear time algorithm to find the strongly connected components of a directed graph.

Here is the source code of the Java Program to Implement Kosaraju Algorithm. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

```
/**
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 ** Java Program to Implement Kosaraju Algorithm

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 **/
```
```
 
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import java.util.*;
```
```
 
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/** class Kosaraju **/
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public class Kosaraju
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{
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```
    /** DFS function **/
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    public void DFS(List<Integer>[] graph, int v, boolean[] visited, List<Integer> comp)

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    {
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```
        visited[v] = true;
```

        for (int i = 0; i < graph[v].size(); i++)

            if (!visited[graph[v].get(i)])

                DFS(graph, graph[v].get(i), visited, comp);

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        comp.add(v);
```
```
    }
```
```
    /** function fill order **/
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    public List<Integer> fillOrder(List<Integer>[] graph, boolean[] visited)

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    {        
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        int V = graph.length;
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        List<Integer> order = new ArrayList<Integer>();

```
 
```
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        for (int i = 0; i < V; i++)
```
```
            if (!visited[i])
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                DFS(graph, i, visited, order);

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        return order;
```
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    }
```

    /** function to get transpose of graph **/

    public List<Integer>[] getTranspose(List<Integer>[] graph)

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    {
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        int V = graph.length;
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        List<Integer>[] g = new List[V];

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        for (int i = 0; i < V; i++)
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            g[i] = new ArrayList<Integer>();

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        for (int v = 0; v < V; v++)
```

            for (int i = 0; i < graph[v].size(); i++)

                g[graph[v].get(i)].add(v);

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        return g;
```
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    }
```
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    /** function to get all SCC **/
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    public List<List<Integer>> getSCComponents(List<Integer>[] graph)

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    {
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        int V = graph.length;
```

        boolean[] visited = new boolean[V];

        List<Integer> order = fillOrder(graph, visited);

        /** get transpose of the graph **/

        List<Integer>[] reverseGraph = getTranspose(graph);

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        /** clear visited array **/
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        visited = new boolean[V];
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        /** reverse order or alternatively use a stack for order **/

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        Collections.reverse(order);
```
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        /** get all scc **/
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        List<List<Integer>> SCComp = new ArrayList<>();

        for (int i = 0; i < order.size(); i++)

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        {
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            /** if stack is used for order pop out elements **/

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            int v = order.get(i);
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            if (!visited[v]) 
```
```
            {
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                List<Integer> comp = new ArrayList<>();

                DFS(reverseGraph, v, visited, comp);

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                SCComp.add(comp);
```
```
            }
```
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        }
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        return SCComp;
```
```
    }
```
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    /** main **/
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    public static void main(String[] args)

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    {
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        Scanner scan = new Scanner(System.in);

        System.out.println("Kosaraju algorithm Test\n");

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        Kosaraju k = new Kosaraju();
```
```
 
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        System.out.println("Enter number of Vertices");

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        /** number of vertices **/
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        int V = scan.nextInt();
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        List<Integer>[] g = new List[V];

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        for (int i = 0; i < V; i++)
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            g[i] = new ArrayList<Integer>();

```
 
```

        System.out.println("\nEnter number of edges");

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        int E = scan.nextInt();
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        /** all edges **/
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        System.out.println("Enter "+ E +" x, y coordinates");

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        for (int i = 0; i < E; i++)
```
```
        {
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            int x = scan.nextInt();
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            int y = scan.nextInt();
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            /** add edge **/
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            g[x].add(y);
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        }
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        System.out.println("\nSCC : ");
```

        /** print all strongly connected components **/

        List<List<Integer>> scComponents = k.getSCComponents(g);

        System.out.println(scComponents);

```
    }    
```
```
}
```

Kosaraju algorithm Test
 
Enter number of Vertices
8
 
Enter number of edges
14
Enter 14 x, y coordinates
0 1
1 2
2 3
3 2
3 7
7 3
2 6
7 6
5 6
6 5
1 5
4 5
4 0
1 4
 
SCC :
[[1, 4, 0], [7, 3, 2], [5, 6]]

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