Java Program to Find Number of Spanning Trees in a Complete Bipartite Graph

This Java program is to find the number of spanning trees in a Complete Bipartite graph. This can be calculated using the matrix tree theorem or Cayley’s formula.

Here is the source code of the Java program to ind the number of spanning trees in a Complete Bipartite graph. The Java program is successfully compiled and run on a Linux system. The program output is also shown below.

```
import java.util.Scanner;
```
```
 
```
```
public class NumOfSpanningBipartite
```
```
{
```
```
    private int firstSetSize;
```
```
    private int secondSetSize;
```
```
 
```

    public int numberOfSpanningTree(int firstSetSize, int secondSetSize)

```
    {
```

        this.firstSetSize = firstSetSize;

        this.secondSetSize = secondSetSize;

        return (this.firstSetSize^(this.secondSetSize - 1)) *(this.secondSetSize ^ (this.firstSetSize -1));

```
    }
```
```
 
```

    public static void main(String...arg)

```
    {
```
```
        int m, n;
```

        Scanner scanner = new Scanner(System.in);

        System.out.println("enter the size of the bipartite graph (m and n)");

```
        m = scanner.nextInt();
```
```
        n = scanner.nextInt();
```
```
 
```

        NumOfSpanningBipartite bipartite = new  NumOfSpanningBipartite();

        System.out.println(" the number of spanning trees are  " + bipartite.numberOfSpanningTree(m, n));

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

$javac NumOfSpanningBipartite.java
$java NumOfSpanningBipartite
enter the size of the bipartite graph (m and n)
2 2
 the number of spanning trees are  9

Sanfoundry Global Education & Learning Series – 1000 Java Programs.

If you wish to look at all Java Programming examples, go to Java Programs.

If you find any mistake above, kindly email to [email protected]

« Prev - Java Program to Implement Uniform-Cost Search

» Next - Java Program to Check whether a Graph is Bipartite using 2 Color Algorithm

Related Posts:

Recommended Articles: