Article ID Journal Published Year Pages File Type
419444 Discrete Applied Mathematics 2012 4 Pages PDF
Abstract

Let n∈Nn∈N. We describe a list GnGn of graphs such that if the nnth power GnGn of a graph GG contains a claw then some graph in GnGn appears as an induced subgraph of GG. We show that our set GnGn is the smallest set of graphs with this property. If TT is a tree, this gives a precise characterization of the claw-free powers of TT.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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