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101 lines
4.1 KiB
Java
101 lines
4.1 KiB
Java
/*This Java program is to find the transitive closure of a graph.Given a directed graph, find out if a vertex j is reachable from another vertex i for all vertex pairs (i, j) in the given graph. Here reachable mean that there is a path from vertex i to j. The reach-ability matrix is called transitive closure of a graph.*/
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import java.util.Scanner;
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public class TransitiveClosure
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{
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private int transitiveMatrix[][];
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private int numberofvertices;
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public static final int INFINITY = 999;
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public TransitiveClosure(int numberofvertices)
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{
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transitiveMatrix= new int[numberofvertices + 1][numberofvertices + 1];
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this.numberofvertices = numberofvertices;
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}
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public void transitiveClosure(int adjacencymatrix[][])
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{
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for (int source = 1; source <= numberofvertices; source++)
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{
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for (int destination = 1; destination <= numberofvertices; destination++)
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{
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transitiveMatrix[source][destination] = adjacencymatrix[source][destination];
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}
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}
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for (int intermediate = 1; intermediate <= numberofvertices; intermediate++)
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{
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for (int source = 1; source <= numberofvertices; source++)
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{
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for (int destination = 1; destination <= numberofvertices; destination++)
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{
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if (transitiveMatrix[source][intermediate] + transitiveMatrix[intermediate][destination]
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< transitiveMatrix[source][destination])
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transitiveMatrix[source][destination] = transitiveMatrix[source][intermediate]
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+ transitiveMatrix[intermediate][destination];
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}
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}
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}
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for (int source = 1; source <= numberofvertices; source++)
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System.out.print("\t" + source);
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System.out.println();
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for (int source = 1; source <= numberofvertices; source++)
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{
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System.out.print(source + "\t");
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for (int destination = 1; destination <= numberofvertices; destination++)
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{
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System.out.print(transitiveMatrix[source][destination] + "\t");
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}
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System.out.println();
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}
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}
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public static void main(String... arg)
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{
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int adjacency_matrix[][];
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int numberofvertices;
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Scanner scan = new Scanner(System.in);
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System.out.println("Enter the number of vertices");
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numberofvertices = scan.nextInt();
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adjacency_matrix = new int[numberofvertices + 1][numberofvertices + 1];
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System.out.println("Enter the Weighted Matrix for the graph");
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for (int source = 1; source <= numberofvertices; source++)
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{
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for (int destination = 1; destination <= numberofvertices; destination++)
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{
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adjacency_matrix[source][destination] = scan.nextInt();
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if (source == destination)
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{
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adjacency_matrix[source][destination] = 0;
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continue;
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}
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if (adjacency_matrix[source][destination] == 0)
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{
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adjacency_matrix[source][destination] = INFINITY;
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}
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}
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}
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System.out.println("The Transitive Closure of the Graph");
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TransitiveClosure transitiveClosure = new TransitiveClosure(numberofvertices);
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transitiveClosure.transitiveClosure(adjacency_matrix);
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scan.close();
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}
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}
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/*
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Enter the number of vertices
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4
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Enter the Weighted Matrix for the graph
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0 0 3 0
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2 0 0 0
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0 7 0 1
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6 0 0 0
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The Transitive Closure of the Graph
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1 2 3 4
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1 0 10 3 4
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2 2 0 5 6
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3 7 7 0 1
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4 6 16 9 0 |