From 7759d363acf538f6bebbe640fabeed355149d146 Mon Sep 17 00:00:00 2001
From: JITHIKA SAGAR <44131656+JITHIKASAGAR123@users.noreply.github.com>
Date: Fri, 18 Oct 2019 12:07:36 +0530
Subject: [PATCH] Travelling salesman c++ program added

Travelling salesman c++ program added and uploaded.....
---
 Travelingsakesman.cpp | 91 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 91 insertions(+)
 create mode 100644 Travelingsakesman.cpp

diff --git a/Travelingsakesman.cpp b/Travelingsakesman.cpp
new file mode 100644
index 0000000..f9825ed
--- /dev/null
+++ b/Travelingsakesman.cpp
@@ -0,0 +1,91 @@
+
+// CPP program to implement traveling salesman 
+// problem using naive approach. 
+#include <bits/stdc++.h> 
+
+using namespace std; 
+#define V 4 
+
+  
+// implementation of traveling Salesman Problem 
+
+int travllingSalesmanProblem(int graph[][V], int s) 
+{ 
+
+    // store all vertex apart from source vertex 
+
+    vector<int> vertex; 
+
+    for (int i = 0; i < V; i++) 
+
+        if (i != s) 
+
+            vertex.push_back(i); 
+
+  
+
+    // store minimum weight Hamiltonian Cycle. 
+
+    int min_path = INT_MAX; 
+
+    do { 
+
+  
+
+        // store current Path weight(cost) 
+
+        int current_pathweight = 0; 
+
+          
+
+        // compute current path weight 
+
+        int k = s; 
+
+        for (int i = 0; i < vertex.size(); i++) { 
+
+            current_pathweight += graph[k][vertex[i]]; 
+
+            k = vertex[i]; 
+
+        } 
+
+        current_pathweight += graph[k][s]; 
+
+  
+
+        // update minimum 
+
+        min_path = min(min_path, current_pathweight); 
+
+         
+
+    } while (next_permutation(vertex.begin(), vertex.end())); 
+
+  
+
+    return min_path; 
+} 
+
+  
+// driver program to test above function 
+
+int main() 
+{ 
+
+    // matrix representation of graph 
+
+    int graph[][V] = { { 0, 10, 15, 20 }, 
+
+                       { 10, 0, 35, 25 }, 
+
+                       { 15, 35, 0, 30 }, 
+
+                       { 20, 25, 30, 0 } }; 
+
+    int s = 0; 
+
+    cout << travllingSalesmanProblem(graph, s) << endl; 
+
+    return 0; 
+} 
\ No newline at end of file