Maximum multiplicity of matching polynomial roots and minimum path cover in general graphs.
Ku, Cheng Yeaw, Wong, Kok Bin (2011)
The Electronic Journal of Combinatorics [electronic only]
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Ku, Cheng Yeaw, Wong, Kok Bin (2011)
The Electronic Journal of Combinatorics [electronic only]
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Czechoslovak Mathematical Journal
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Mathematica Slovaca
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Matematický časopis
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This paper is part of a work in progress whose goal is to construct a fast, practical algorithm for the vertex separation (VS) of cactus graphs. We prove a theorem for cacti", a necessary and sufficient condition for the VS of a cactus graph being k. Further, we investigate the ensuing ramifications that prevent the construction of an algorithm based on that theorem only.