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Is Travelling Salesman Problem NP-complete?

January 24, 2024 by Timothy Chehowski

Is Travelling Salesman Problem NP-complete? Traveling Salesman Optimization(TSP-OPT) is a NP-hard problem and Traveling Salesman Search(TSP) is NP-complete. However, TSP-OPT can be reduced to TSP since if TSP can be solved in polynomial time, then so can TSP-OPT(1). Is traveling salesman NP-hard? In Chapter 15 we introduced the Traveling Salesman Problem (TSP) and showed that

Does Traveling Salesman Work With Negative Weights?

January 24, 2024 by Timothy Chehowski

Does Traveling Salesman Work With Negative Weights? The only known way to verify that a provided solution is the shortest possible solution is to actually solve the entire TSP. Since it takes exponential time to solve NP, the solution cannot be checked in the real polynomial time. Hence, this problem is NP-hard, but not in