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Title: Minimal claw-free graphs (English)
Author: Dankelmann, P.
Author: Swart, Henda C.
Author: van den Berg, P.
Author: Goddard, W.
Author: Plummer, M. D.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 58
Issue: 3
Year: 2008
Pages: 787-798
Summary lang: English
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Category: math
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Summary: A graph $G$ is a minimal claw-free graph (m.c.f. graph) if it contains no $K_{1,3}$ (claw) as an induced subgraph and if, for each edge $e$ of $G$, $G-e$ contains an induced claw. We investigate properties of m.c.f. graphs, establish sharp bounds on their orders and the degrees of their vertices, and characterize graphs which have m.c.f. line graphs. (English)
Keyword: minimal claw-free
Keyword: degree
Keyword: bow-tie
Keyword: line graph
MSC: 05C07
MSC: 05C75
idZBL: Zbl 1174.05107
idMR: MR2455938
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Date available: 2010-07-20T14:07:39Z
Last updated: 2016-04-07
Stable URL: http://hdl.handle.net/10338.dmlcz/140421
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