Reputation: 53
Does there exist a polynomial time algorithm for Travelling Salesman Problem on complete directed graph?
Upvotes: 4
Views: 1712
Reputation: 1066
Unlikely. If there was one you could take any graph and add all the missing edges with a very high weight. That would allow solving the standard version of the problem, which is known to be NP-hard.
Upvotes: 3