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A note on the hardness results for the labeled perfect matching problems in bipartite graphs

Monnot, Jérôme (2008), A note on the hardness results for the labeled perfect matching problems in bipartite graphs, RAIRO, 42, 3, p. 315-324. http://dx.doi.org/10.1051/ro:2008020

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Type
Article accepté pour publication ou publié
Date
2008
Journal name
RAIRO
Volume
42
Number
3
Publisher
EDP Sciences
Pages
315-324
Publication identifier
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Author(s)
Monnot, Jérôme cc
Abstract (EN)
In this note, we strengthen the inapproximation bound of $O(\log n)$ for the labeled perfect matching problem established in J. Monnot, The Labeled perfect matching in bipartite graphs, Information Processing Letters 96 (2005) 81-88, using a self improving operation in some hard instances. It is interesting to note that this self improving operation does not work for all instances. Moreover, based on this approach we deduce that the problem does not admit constant approximation algorithms for connected planar cubic bipartite graphs.
Subjects / Keywords
Labeled matching; bipartite graphs; approximation and complexity; inapproximation bounds