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
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Tomokazu IMAMURA, Kazuo IWAMA, Tatsuie TSUKIJI, "Approximated Vertex Cover for Graphs with Perfect Matchings" in IEICE TRANSACTIONS on Information,
vol. E89-D, no. 8, pp. 2405-2410, August 2006, doi: 10.1093/ietisy/e89-d.8.2405.
Abstract: 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
URL: https://global.ieice.org/en_transactions/information/10.1093/ietisy/e89-d.8.2405/_p
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@ARTICLE{e89-d_8_2405,
author={Tomokazu IMAMURA, Kazuo IWAMA, Tatsuie TSUKIJI, },
journal={IEICE TRANSACTIONS on Information},
title={Approximated Vertex Cover for Graphs with Perfect Matchings},
year={2006},
volume={E89-D},
number={8},
pages={2405-2410},
abstract={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
keywords={},
doi={10.1093/ietisy/e89-d.8.2405},
ISSN={1745-1361},
month={August},}
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TY - JOUR
TI - Approximated Vertex Cover for Graphs with Perfect Matchings
T2 - IEICE TRANSACTIONS on Information
SP - 2405
EP - 2410
AU - Tomokazu IMAMURA
AU - Kazuo IWAMA
AU - Tatsuie TSUKIJI
PY - 2006
DO - 10.1093/ietisy/e89-d.8.2405
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E89-D
IS - 8
JA - IEICE TRANSACTIONS on Information
Y1 - August 2006
AB - 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
ER -