Java program to describe the representation of graph using adjacency matrix.In mathematics and computer science, an adjacency matrix is a means of representing which vertices (or nodes) of a graph are adjacent to which other vertices. Another matrix representation for a graph is the incidence matrix.

Here is source code of the Java program to find the adjacency matrix of a given graph .The Java program is successfully compiled and run on a Linux system. The program output is also shown below.

import java.util.InputMismatchException;

import java.util.Scanner;

public class GraphAdjacencyMatrix

`{`

private final int MAX_NO_OF_VERTICES;

private int adjacency_matrix[][];

public GraphAdjacencyMatrix(int number_of_vertices)

`{`

MAX_NO_OF_VERTICES = number_of_vertices;

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

`}`

public void setEdge(int from_vertex, int to_vertex, int edge)

`{`

`try`

`{`

adjacency_matrix[from_vertex][to_vertex] = edge;

} catch (ArrayIndexOutOfBoundsException indexBounce)

`{`

System.out.println("the vertex entered is not present");

`}`

`}`

public int getEdge(int from_vertex, int to_vertex)

`{`

`try`

`{`

return adjacency_matrix[from_vertex][to_vertex];

} catch (ArrayIndexOutOfBoundsException indexBounce)

`{`

System.out.println("the vertex entered is not present")

`}`

return -1;

`}`

public static void main(String... arg)

`{`

int number_of_vertices, count = 1;

int source = 0, destination = 0;

Scanner scan = new Scanner(System.in);

`GraphAdjacencyMatrix adjacencyMatrix;`

`try`

`{`

System.out.println("Enter the Number of Vertices");

number_of_vertices = scan.nextInt();

System.out.println("Enter the Number of Edges");

int number_of_edges = scan.nextInt();

adjacencyMatrix = new GraphAdjacencyMatrix(number_of_vertices);

System.out.println("Enter The Graph Egdes :<source> <destination>");

while (count <= number_of_edges)

`{`

source = scan.nextInt();

destination = scan.nextInt();

adjacencyMatrix.setEdge(source, destination, 1);

`count++;`

`}`

System.out.println("The adjacency matrix for given graph is");

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

System.out.print(i);

System.out.println();

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

`{`

System.out.print(i);

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

`{`

System.out.print(adjacencyMatrix.getEdge(i, j));

`}`

System.out.println();

`}`

} catch (InputMismatchException inputMisMatch)

`{`

System.out.println("Error in Input Format.<source index> <destination index>");

`}`

scan.close();

`}`

`}`

$javac GraphAdjacencyMatrix.java $java GraphAdjacencyMatrix Enter the Number of Vertices and Edges 4 5 Enter The Graph Egdes Format : <source index> <destination index> 1 2 2 3 3 4 4 1 1 3 The adjacency matrix for given graph is 1 2 3 4 1 0 1 1 0 2 0 0 1 0 3 0 0 0 1 4 1 0 0 0

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