Minimal TSP Tour is coNP-Complete

Marzio De Biasi

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arXiv · 1403.3431

Minimal TSP Tour is coNP-Complete

Marzio De Biasi

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Abstract

The problem of deciding if a Traveling Salesman Problem (TSP) tour is minimal was proved to be coNP-complete by Papadimitriou and Steiglitz. We give an alternative proof based on a polynomial time reduction from 3SAT. Like the original proof, our reduction also shows that given a graph $G$ and an Hamiltonian path of $G$, it is NP-complete to check if $G$ contains an Hamiltonian cycle (Restricted Hamiltonian Cycle problem).

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Marzio De Biasi. 2014-03-13. Minimal TSP Tour is coNP-Complete. https://arxiv.org/abs/1403.3431

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