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arXiv · 1403.0359

Reconfiguring Independent Sets in Claw-Free Graphs

Paul Bonsma·Marcin Kamiński·Marcin Wrochna
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Abstract

We present a polynomial-time algorithm that, given two independent sets in a claw-free graph $G$, decides whether one can be transformed into the other by a sequence of elementary steps. Each elementary step is to remove a vertex $v$ from the current independent set $S$ and to add a new vertex $w$ (not in $S$) such that the result is again an independent set. We also consider the more restricted model where $v$ and $w$ have to be adjacent.

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Paul Bonsma, Marcin Kamiński, Marcin Wrochna. 2014-03-03. Reconfiguring Independent Sets in Claw-Free Graphs. https://arxiv.org/abs/1403.0359

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