On Camby-Plein's Characterization of Domination Perfect Graphs
Combinatorics
2026-02-16 v1
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.
Keywords
Cite
@article{arxiv.2602.12374,
title = {On Camby-Plein's Characterization of Domination Perfect Graphs},
author = {Vadim Zverovich},
journal= {arXiv preprint arXiv:2602.12374},
year = {2026}
}