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Bibliographic Details
Main Authors: Zverovich, Vadim, Skums, Pavel, Volkmann, Lutz
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.14668
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Table of Contents:
  • 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.