Graph Representation using Incidence List in Java

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)

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    {
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        List<Integer> slist = incidenceList.get(to);

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        slist.add(edge_number);
```

        List<Integer> dlist = incidenceList.get(from);

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        dlist.add(edge_number);
```
```
 
```
```
    }
```
```
 
```

    public List<Integer> getEdge(int vertex)

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    {
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        return incidenceList.get(vertex);

```
    }
```
```
 
```

    public static void main(String args[])

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    {
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        int v, e, count = 1, to, from, edgeNumber;

        Scanner sc = new Scanner(System.in);

        Represent_Graph_Incidence_List glist;

```
        try 
```
```
        {
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            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
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                    .println("Enter the edges in the graph : <edgenumber> <to> <from>");

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            while (count <= e) 
```
```
            {
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                edgeNumber = sc.nextInt();

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                to = sc.nextInt();
```
```
                from = sc.nextInt();
```
```
 
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                glist.setEdge(to, from, edgeNumber);

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                count++;
```
```
            }
```
```
 
```
```
            System.out
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                    .println("The Incidence List Representation of the graph is: ");

```
 
```

            System.out.println("Vertex   EdgeNumber");

            for (int vertex = 1; vertex <= v; vertex++)

```
            {
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                System.out.print(vertex + "\t:");

                List<Integer> edgeList = glist.getEdge(vertex);

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                for (int j = 1;; j++) 
```
```
                {
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                    if (j != edgeList.size())

                        System.out.print(edgeList.get(j - 1) + "\t");

```
                    else 
```
```
                    {
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                        System.out.print(edgeList.get(j - 1));

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                        break;
```
```
                    }
```
```
                }
```
```
                System.out.println();
```
```
            }
```
```
        } 
```
```
        catch (Exception E) 
```
```
        {
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            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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