# Java Program to Solve Travelling Salesman Problem for Unweighted Graph

This is a java program to solve TSP. The travelling salesman problem (TSP) asks the following question: Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city? It is an NP-hard problem in combinatorial optimization, important in operations research and theoretical computer science.

Here is the source code of the Java Program to Solve Travelling Salesman Problem for Unweighted Graph. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

package com.maixuanviet.graph;

import java.util.InputMismatchException;
import java.util.Scanner;

public class TSP
{
private int            numberOfNodes;
private Stack<Integer> stack;

public TSP()
{
stack = new Stack<Integer>();
}

{
int[] visited = new int[numberOfNodes + 1];
visited[1] = 1;
stack.push(1);
int element, dst = 0, i;
int min = Integer.MAX_VALUE;
boolean minFlag = false;
System.out.print(1 + "\t");
while (!stack.isEmpty())
{
element = stack.peek();
i = 1;
min = Integer.MAX_VALUE;
while (i <= numberOfNodes)
{
if (adjacencyMatrix[element][i] > 1 && visited[i] == 0)
{
{
dst = i;
minFlag = true;
}
}
i++;
}
if (minFlag)
{
visited[dst] = 1;
stack.push(dst);
System.out.print(dst + "\t");
minFlag = false;
continue;
}
stack.pop();
}
}

public static void main(String... arg)
{
int number_of_nodes;
Scanner scanner = null;
try
{
System.out.println("Enter the number of nodes in the graph");
scanner = new Scanner(System.in);
number_of_nodes = scanner.nextInt();
int adjacency_matrix[][] = new int[number_of_nodes + 1][number_of_nodes + 1];
for (int i = 1; i <= number_of_nodes; i++)
{
for (int j = 1; j <= number_of_nodes; j++)
{
}
}
for (int i = 1; i <= number_of_nodes; i++)
{
for (int j = 1; j <= number_of_nodes; j++)
{
{
}
}
}
System.out.println("The cities are visited as follows: ");
TSP tspNearestNeighbour = new TSP();
}
catch (InputMismatchException inputMismatch)
{
System.out.println("Wrong Input format");
}
scanner.close();
}
}


Output:

$javac TSP.java$ java TSP

Enter the number of nodes in the graph
9
000 374 200 223 108 178 252 285 240 356
374 000 255 166 433 199 135 095 136 017
200 255 000 128 277 128 180 160 131 247
223 166 128 000 430 047 052 084 040 155
108 433 277 430 000 453 478 344 389 423
178 199 128 047 453 000 091 110 064 181
252 135 180 052 478 091 000 114 083 117
285 095 160 084 344 110 114 000 047 078
240 136 131 040 389 064 083 047 000 118
356 017 247 155 423 181 117 078 118 000

The cities are visited as follows:
1	5	3	2	9	7	4	6	8