This Java program, represents a given graph in the incident matrix form.

Here is the source code of the Java program to represent the graph in incident matrix. 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 GraphIncidenceMatrix

`{`

private final int MAX_ROWS ;

private final int MAX_COLUMS;

private int Incidence_Matrix[][];

public GraphIncidenceMatrix(int number_of_vertices, int number_of_edges)

`{`

MAX_COLUMS = number_of_edges;

MAX_ROWS = number_of_vertices;

Incidence_Matrix = new int[MAX_ROWS + 1][MAX_COLUMS + 1];

`}`

public void setVertices(int from_vertex, int to_vertex, int edge, int edge_num)

`{`

try

`{`

Incidence_Matrix[from_vertex][edge_num] = edge;

Incidence_Matrix[to_vertex][edge_num] = edge;

}catch(ArrayIndexOutOfBoundsException indexBounce)

`{`

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

`}`

`}`

public int getVertices(int edge_num, int vertex)

`{`

try

`{`

return Incidence_Matrix[vertex][edge_num];

}catch(ArrayIndexOutOfBoundsException indexBounce)

`{`

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

`}`

return -1;

`}`

public static void main(String...arg)

`{`

int number_of_vertices;

int number_of_edges;

int edge_count = 1;

int edge_number ;

int source;

int destination;

GraphIncidenceMatrix incedenceMatrix = null;

Scanner scan = new Scanner(System.in);

try

`{`

System.out.println("Enter The Number Of Vertices and Edges \n");

number_of_vertices = scan.nextInt();

number_of_edges = scan.nextInt();

incedenceMatrix = new GraphIncidenceMatrix(number_of_vertices, number_of_edges);

System.out.println("Enter the Egdes Format :<edge-number> <source index> <destination index> \n");

while (edge_count <= number_of_edges)

`{`

edge_number = scan.nextInt();

source = scan.nextInt();

destination = scan.nextInt();

`edge_count++;`

incedenceMatrix.setVertices(source, destination, 1, edge_number);

`}`

System.out.println("The Incendence Matrix for the given graph is ");

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

`{`

System.out.print("\t" + i);

`}`

System.out.println();

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

`{`

System.out.print(i + "\t");

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

`{`

System.out.print(incedenceMatrix.getVertices(j, i) + "\t");

`}`

System.out.println();

`}`

}catch(InputMismatchException inputMismatch)

`{`

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

`}`

scan.close();

`}`

`}`

$javac GraphIncidenceMatrix.java $java GrapIncidenceMatrix Enter The Number Of Vertices and Edges 4 5 Enter the Egdes Format :<edge-number> <source index> <destination index> 1 1 2 2 2 3 3 3 4 4 4 1 5 1 3 The Incendence Matrix for the given graph is 1 2 3 4 5 1 1 0 0 1 1 2 1 1 0 0 0 3 0 1 1 0 1 4 0 0 1 1 0

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