Java Program to Check Cycle in a Graph using Topological Sort

This Java program,to perform the topological Sort on a given graph by the DFS method.The topological sort is performed on a directed acyclic graph.

Here is the source code of the Java program to check for cycle in topological sort. The Java program is successfully compiled and run on a Linux system. The program output is also shown below.

import java.util.InputMismatchException;

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import java.util.Scanner;
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import java.util.Stack;
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public class TopoCycle
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{
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    private Stack<Integer> stack;
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```
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    public TopoCycle() 
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    {
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        stack = new Stack<Integer>();
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    }
```
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    public boolean checkCycle(int adjacency_matrix[][], int source)

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    {
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        int number_of_nodes = adjacency_matrix[source].length - 1;

        int[] topological_sort = new int [number_of_nodes + 1];

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        int pos = 1;
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        int j;
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        boolean cycle = false;
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        int visited[] = new int[number_of_nodes + 1];

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        int element = source;
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        int i = source;
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        visited[source] = 1;
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        stack.push(source);
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        while (!stack.isEmpty())
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        {
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            element = stack.peek();
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            while (i <= number_of_nodes)

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            {
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                if (adjacency_matrix[element][i] == 1 && visited[i] == 1)

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                {
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                    if (stack.contains(i))

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                    {
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                        System.out.println("The Graph Contains a cycle");

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                        cycle = true; 
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                        return cycle;
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                    }
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                }
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                if (adjacency_matrix[element][i] == 1 && visited[i] == 0)

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                {
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                    stack.push(i);
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                    visited[i] = 1;
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                    element = i;
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                    i = 1;
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                    continue;
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                }
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                i++;
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            }
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            j = stack.pop();	
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            topological_sort[pos++] = j;

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            i = ++j;
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        }
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        System.out.println("The Graph does not Contain cycle");

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        return cycle;
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    }	
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    public static void main(String...arg)

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    {
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        int number_no_nodes, source;
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        Scanner scanner = null;
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        try 
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        {
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            System.out.println("Enter the number of nodes in the graph");

            scanner = new Scanner(System.in);

            number_no_nodes = scanner.nextInt();

```
 
```

            int adjacency_matrix[][] = new int[number_no_nodes + 1][number_no_nodes + 1];

            System.out.println("Enter the adjacency matrix");

	    for (int i = 1; i <= number_no_nodes; i++)

                for (int j = 1; j <= number_no_nodes; j++)

                    adjacency_matrix[i][j] = scanner.nextInt();

```
 
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            System.out.println("Enter the source for the graph");

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            source = scanner.nextInt();
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```

	    TopoCycle topoCycle = new TopoCycle();

            topoCycle.checkCycle(adjacency_matrix, source);

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        }catch(InputMismatchException inputMismatch)

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        {
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            System.out.println("Wrong Input format");

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        }
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        scanner.close();
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    }
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}
```

$javac TopoCycle.java
$java TopoCycle
Enter the number of nodes in the graph
5
Enter the adjacency matrix
0 1 0 1 0
0 0 1 0 0 
0 0 0 0 1
0 1 0 0 1
0 0 0 1 0 
Enter the source for the graph
1
The Graph contains a cycle

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