Pyramidal tours with step-backs and the asymmetric traveling salesman problem

Hikoe Enomoto; Yoshiaki Oda; Katsuhiro Ota

doi:10.1016/S0166-218X(98)00048-1

Pyramidal tours with step-backs and the asymmetric traveling salesman problem

Hikoe Enomoto, Yoshiaki Oda, Katsuhiro Ota

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, we introduce the notion of a pyramidal tour with step-backs which is an extension of a pyramidal tour. By using this idea we shall show that for a class of distance matrices an optimal tour of traveling salesman problem can be computed in polynomial time.

Original language	English
Pages (from-to)	57-65
Number of pages	9
Journal	Discrete Applied Mathematics
Volume	87
Issue number	1-3
DOIs	https://doi.org/10.1016/S0166-218X(98)00048-1
Publication status	Published - 1998 Oct 5

Keywords

A pyramidal tour
Polynomially solvable classes
The traveling salesman problem

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/S0166-218X(98)00048-1

Cite this

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abstract = "In this paper, we introduce the notion of a pyramidal tour with step-backs which is an extension of a pyramidal tour. By using this idea we shall show that for a class of distance matrices an optimal tour of traveling salesman problem can be computed in polynomial time.",

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AU - Ota, Katsuhiro

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KW - Polynomially solvable classes

KW - The traveling salesman problem

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Pyramidal tours with step-backs and the asymmetric traveling salesman problem

Abstract

Keywords

ASJC Scopus subject areas

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