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arXiv · 2111.13476

Reconfiguration of Regular Induced Subgraphs

Hiroshi Eto·Takehiro Ito·Yasuaki Kobayashi·Yota Otachi·Kunihiro Wasa
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Abstract

We study the problem of checking the existence of a step-by-step transformation of $d$-regular induced subgraphs in a graph, where $d \ge 0$ and each step in the transformation must follow a fixed reconfiguration rule. Our problem for $d=0$ is equivalent to \textsc{Independent Set Reconfiguration}, which is one of the most well-studied reconfiguration problems. In this paper, we systematically investigate the complexity of the problem, in particular, on chordal graphs and bipartite graphs. Our results give interesting contrasts to known ones for \textsc{Independent Set Reconfiguration}.

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Hiroshi Eto, Takehiro Ito, Yasuaki Kobayashi, Yota Otachi, Kunihiro Wasa. 2021-11-26. Reconfiguration of Regular Induced Subgraphs. https://arxiv.org/abs/2111.13476

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