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arXiv · 2603.14668

A Characterization of $P_6$-Free Irredundance Perfect Graphs

Vadim Zverovich·Pavel Skums·Lutz Volkmann
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Abstract

Let $ir(G)$ and $γ(G)$ be the irredundance number and the domination number of a graph $G$, respectively. A graph $G$ is called irredundance perfect if $ir(H)=γ(H)$ for every induced subgraph $H$ of $G$. The subclass of $P_6$-free irredundance perfect graphs has been studied extensively. In this paper, we present a characterization of this graph class in terms of eleven forbidden induced subgraphs.

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Vadim Zverovich, Pavel Skums, Lutz Volkmann. 2026-03-15. A Characterization of $P_6$-Free Irredundance Perfect Graphs. https://arxiv.org/abs/2603.14668

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