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A note on the hardness resultsfor the labeledperfect matching problems in bipartite graphs

Published online by Cambridge University Press:  20 August 2008

Jérôme Monnot
Jérôme Monnot*
Affiliation:
CNRS LAMSADE, Université Paris-Dauphine, Place du Maréchal De Lattre de Tassigny, 75775 Paris Cedex 16, France; monnot@lamsade.dauphine.fr
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Abstract

In this note, we strengthen the inapproximation bound of O(logn) for the labeled perfect matching problem established in J.Monnot, The Labeled perfect matching in bipartite graphs, Information Processing Letters96 (2005) 81–88, using aself improving operation in some hard instances. It is interestingto note that this self improving operation does not work for allinstances. Moreover, based on this approach we deduce that theproblem does not admit constant approximation algorithms forconnected planar cubic bipartite graphs.

Keywords

Labeled matchingbipartite graphsapproximationand complexityinapproximation bounds.

Information

Type
Research Article
Information
RAIRO - Operations Research , Volume 42 , Issue 3 , July 2008, pp. 315 - 324
Copyright
© EDP Sciences, ROADEF, SMAI, 2008

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