Java Program to Represent Graph Using Incidence List

This is a java program to represent graph as a incidence list. The incidence matrix of G is a n × m matrix (b_{ij}), where n and m are the numbers of vertices and edges respectively, such that b_{ij} = 1 if the vertex v_i and edge x_j are incident and 0 otherwise. If this relationship is represented by a list, list is known as incidence list.

Here is the source code of the Java Program to Represent Graph Using Incidence List. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

//This is a java program to represent graph as a incidence list
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.LinkedList;
import java.util.Scanner;
 
public class Represent_Graph_Incidence_List 
{
    private Map<Integer, List<Integer>> incidenceList;
    private int v;
 
    public Represent_Graph_Incidence_List(int vertices) 
    {
        v = vertices;
        incidenceList = new HashMap<Integer, List<Integer>>();
        for (int i = 1; i <= v; i++)
            incidenceList.put(i, new LinkedList<Integer>());
    }
 
    public void setEdge(int to, int from, int edge_number) 
    {
        List<Integer> slist = incidenceList.get(to);
        slist.add(edge_number);
        List<Integer> dlist = incidenceList.get(from);
        dlist.add(edge_number);
 
    }
 
    public List<Integer> getEdge(int vertex) 
    {
        return incidenceList.get(vertex);
    }
 
    public static void main(String args[]) 
    {
        int v, e, count = 1, to, from, edgeNumber;
        Scanner sc = new Scanner(System.in);
        Represent_Graph_Incidence_List glist;
        try 
        {
            System.out.println("Enter the number of vertices: ");
            v = sc.nextInt();
            System.out.println("Enter the number of edges: ");
            e = sc.nextInt();
 
            glist = new Represent_Graph_Incidence_List(v);
 
            System.out
                    .println("Enter the edges in the graph : <edgenumber> <to> <from>");
            while (count <= e) 
            {
                edgeNumber = sc.nextInt();
                to = sc.nextInt();
                from = sc.nextInt();
 
                glist.setEdge(to, from, edgeNumber);
                count++;
            }
 
            System.out
                    .println("The Incidence List Representation of the graph is: ");
 
            System.out.println("Vertex   EdgeNumber");
            for (int vertex = 1; vertex <= v; vertex++) 
            {
                System.out.print(vertex + "\t:");
                List<Integer> edgeList = glist.getEdge(vertex);
                for (int j = 1;; j++) 
                {
                    if (j != edgeList.size())
                        System.out.print(edgeList.get(j - 1) + "\t");
                    else 
                    {
                        System.out.print(edgeList.get(j - 1));
                        break;
                    }
                }
                System.out.println();
            }
        } 
        catch (Exception E) 
        {
            System.out.println("Something went wrong");
        }
        sc.close();
    }
}

Output:

$ javac Represent_Graph_Incidence_List.java
$ java Represent_Graph_Incidence_List
 
Enter the number of vertices: 
5
Enter the number of edges: 
5
Enter the edges in the graph : <edgenumber> <to> <from>
1 1 2
2 2 4 
3 5 4
4 4 3
5 5 1
The Incidence List Representation of the graph is: 
Vertex   EdgeNumber
1	:1	5
2	:1	2
3	:4
4	:2	3	4
5	:3	5

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