EDP Sciences Journals List
Home Document
Subscriber Authentication Point
Issue RAIRO Oper. Res.
Volume 42, Number 3, July-September 2008
Page(s) 315 - 324
DOI 10.1051/ro:2008020
Published online 20 August 2008

RAIRO-Oper. Res. 42 (2008) 315-324
DOI: 10.1051/ro:2008020

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

Jérôme Monnot

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

Received March 3, 2006. Accepted October 29, 2007 Published online 20 August 2008

Abstract
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.


Mathematics Subject Classification. 68Q17, 68R10, 68W25, 90C59.

Key words: Labeled matching, bipartite graphs, approximation and complexity, inapproximation bounds.


© EDP Sciences, ROADEF, SMAI 2008


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.