On Integrality Ratios for Asymmetric TSP in the Sherali-Adams Hierarchy

Abstract

We study the ATSP (Asymmetric Traveling Salesman Problem), and our focus is on negative results in the framework of the Sherali-Adams (SA) Lift and Project method. Our main result pertains to the standard LP (linear programming) relaxation of ATSP, due to Dantzig, Fulkerson, and Johnson. For any fixed integer t ≥ 0 and small ǫ, 0 < ǫ ≪ 1, there exists a… (More)
DOI: 10.1007/978-3-642-39206-1_29

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