A Polynomial 3/5-Approximate Algorithm for the Asymmetric Maximization Version of the 3-PSP


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We present a first polynomial algorithm with guaranteed approximation ratio for the asymmetric maximization version of the asymmetric 3-Peripatetic Salesman Problem (3-APSP). This problem consists in finding the three edge-disjoint Hamiltonian circuits of maximal total weight in a complete weighted digraph. We prove that the algorithm has guaranteed approximation ratio 3/5 and cubic running-time.

作者简介

A. Glebov

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: angle@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090

S. Toktokhoeva

Novosibirsk State University

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Email: s.toktokhoeva@ya.ru
俄罗斯联邦, ul. Pirogova 1, Novosibirsk, 630090

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