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Searching the k-change neighborhood for TSP is W[1]-hard
Authors:Dániel Marx
Institution:Institut für Informatik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany
Abstract:We show that searching the k-change neighborhood is W1]-hard for metric TSP, which means that finding the best tour in the k-change neighborhood essentially requires complete search (modulo some complexity-theoretic assumptions).
Keywords:Traveling Salesperson Problem  W[1]-hardness  Parameterized complexity  Local search
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