On Camby-Plein's Characterization of Domination Perfect Graphs

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Authors: Vadim E. Zverovich
Cited by: 0

Abstract

We show that all results stated in [E. Camby, F. Plein, Discrete Appl. Math. 217 (2017) 711-717] are either previously known or incorrect. For example, Camby and Plein claimed to provide counterexamples to the 1995 characterization of domination perfect graphs due to Zverovich and Zverovich; however, these counterexamples are not valid. Moreover, the new characterization of domination perfect graphs proposed in that paper is incorrect. For completeness, we present a relatively brief proof of the 1995 characterization of domination perfect graphs due to Zverovich and Zverovich.

Fields of Study & Subjects

Advanced Graph Theory Research Complexity and Algorithms in Graphs Limits and Structures in Graph Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
12 February 2026
Language
EN
Document type
Preprint