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Clawfreeness of the powers of a graph

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2012 English Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 160, pages 1,390-1,393 (issn: 0166-218X, Copyright policy )
Authors: Patrick Bahls; Nicole Gin;

doi: 10.1016/j.dam.2012.01.023

Clawfreeness of the powers of a graph

Abstract

AbstractLet n∈N. We describe a list Gn of graphs such that if the nth power Gn of a graph G contains a claw then some graph in Gn appears as an induced subgraph of G. We show that our set Gn is the smallest set of graphs with this property. If T is a tree, this gives a precise characterization of the claw-free powers of T.

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Keywords

Clawfreeness, Graph power, Claw-free, Applied Mathematics, Discrete Mathematics and Combinatorics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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