We say that a graph has a matching cutset if its vertices can be coloured in red and blue in such a way that there exists at least one vertex coloured in red and at least one vertex coloured in blue, and every vertex has at most one neighbour Coloured in the opposite colour. In this paper we study the algorithmic complexity of a problem of recognizing graphs which possess a matching cutset. In particular we present a polynomial-time algorithm which solves this problem for graphs of diameter two. (C) 2008 Elsevier B.V. All rights reserved.
机构:
Electronics and Telecommunications Research Institute,Reliability Engineering SectionElectronics and Telecommunications Research Institute,Reliability Engineering Section
Yong Yeon Shin
Jai Sang Koh
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机构:
Electronics and Telecommunications Research Institute,Reliability Engineering SectionElectronics and Telecommunications Research Institute,Reliability Engineering Section
Jai Sang Koh
Korean Journal of Computational & Applied Mathematics,
1998,
5
(3):
: 681
-
693
机构:
W Virginia Univ, Lane Dept Comp Sci & Elect Engn, Morgantown, WV 26506 USAW Virginia Univ, Lane Dept Comp Sci & Elect Engn, Morgantown, WV 26506 USA
Eschen, EM
Hoàng, CT
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机构:W Virginia Univ, Lane Dept Comp Sci & Elect Engn, Morgantown, WV 26506 USA
Hoàng, CT
Petrick, MDT
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机构:W Virginia Univ, Lane Dept Comp Sci & Elect Engn, Morgantown, WV 26506 USA
Petrick, MDT
Sritharan, R
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机构:W Virginia Univ, Lane Dept Comp Sci & Elect Engn, Morgantown, WV 26506 USA