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On the traveling salesman problem with a relaxed Monge matrix

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UNSPECIFIED (1998) On the traveling salesman problem with a relaxed Monge matrix. INFORMATION PROCESSING LETTERS, 67 (5). pp. 231-237. ISSN 0020-0190

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Abstract

We show that the traveling salesman problem with a symmetric relaxed Monge matrix as distance matrix is pyramidally solvable and can thus be solved by dynamic programming. Furthermore, we present a polynomial time algorithm that decides whether there exists a renumbering of the cities such that the resulting distance matrix becomes a relaxed Monge matrix. (C) 1998 Elsevier Science B.V. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Journal or Publication Title: INFORMATION PROCESSING LETTERS
Publisher: ELSEVIER SCIENCE BV
ISSN: 0020-0190
Date: 15 September 1998
Volume: 67
Number: 5
Number of Pages: 7
Page Range: pp. 231-237
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/15301

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