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Stability preserving transformations of graphs

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Lozin, Vadim V.. (2011) Stability preserving transformations of graphs. Annals of Operations Research , vol.188 (No.1). pp. 331-341. ISSN 0254-5330

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Official URL: http://dx.doi.org/10.1007/s10479-008-0395-1

Abstract

Graph transformations proved useful for many algorithmic problems. In the present paper, we study this tool with respect to the maximum stable set problem. We first review available results on this topic and then propose an approach to uniformly describe and systematically develop graph transformations that do not change the size of a maximum stable set in the graph. The approach is illustrated by a number of new transformations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Graph theory, Graph grammars, Mathematical optimization, Algorithms
Journal or Publication Title: Annals of Operations Research
Publisher: Springer New York LLC
ISSN: 0254-5330
Date: 2011
Volume: vol.188
Number: No.1
Page Range: pp. 331-341
Identification Number: 10.1007/s10479-008-0395-1
Status: Peer Reviewed
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/38648

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