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IEICE TRANSACTIONS on Information

Approximated Vertex Cover for Graphs with Perfect Matchings

Tomokazu IMAMURA, Kazuo IWAMA, Tatsuie TSUKIJI

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Summary :

Chen and Kanj considered the VERTEX COVER problem for graphs with perfect matchings (VC-PM). They showed that: (i) There is a reduction from general VERTEX COVER to VC-PM, which guarantees that if one can achieve an approximation factor of less than two for VC-PM, then one can do so for general VERTEX COVER as well. (ii) There is an algorithm for VC-PM whose approximation factor is given as 1.069+0.069 where is the average degree of the given graph. In this paper we improve (ii). Namely we give a new VC-PM algorithm which greatly outperforms the above one and its approximation factor is roughly . Our algorithm also works for graphs with "large" matchings, although its approximation factor is degenerated.

Publication
IEICE TRANSACTIONS on Information Vol.E89-D No.8 pp.2405-2410
Publication Date
2006/08/01
Publicized
Online ISSN
1745-1361
DOI
10.1093/ietisy/e89-d.8.2405
Type of Manuscript
Special Section INVITED PAPER (Special Section on Invited Papers from New Horizons in Computing)
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