Travelling S P
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# Python3 program to implement traveling salesman
# problem using naive approach.
from sys import maxsize
from itertools import permutations
V = 4
# implementation of traveling Salesman Problem
def travellingSalesmanProblem(graph, s):
# store all vertex apart from source vertex
vertex = []
for i in range(V):
if i != s:
vertex.append(i)
# store minimum weight Hamiltonian Cycle
min_path = maxsize
next_permutation=permutations(vertex)
for i in next_permutation:
# store current Path weight(cost)
current_pathweight = 0
# compute current path weight
k = s
for j in i:
current_pathweight += graph[k][j]
k = j
current_pathweight += graph[k][s]
# update minimum
min_path = min(min_path, current_pathweight)
return min_path
# Driver Code
if __name__ == "__main__":
# matrix representation of graph
graph = [[0, 10, 15, 20], [10, 0, 35, 25],
[15, 35, 0, 30], [20, 25, 30, 0]]
s = 0
print(travellingSalesmanProblem(graph, s))
Python
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