Proof of a conjecture on irredundance perfect graphs

Volkmann, Lutz; Zverovich, Vadim

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. In this article we present a result which immediately implies three known conjectures on irredundance perfect graphs.

• Journal Article Type: Article
• Publication Date: Dec 1, 2002
• Journal: Journal of Graph Theory
• Print ISSN: 0364-9024
• Electronic ISSN: 1097-0118
• Publisher: Wiley
• Peer Reviewed: Not Peer Reviewed
• Volume: 41
• Issue: 4
• Pages: 292-306
• DOI: https://doi.org/10.1002/jgt.10068
• Keywords: mathematics, irredundance, perfect, graphs, proof
• Public URL: https://uwe-repository.worktribe.com/output/1075616
• Publisher URL: http://dx.doi.org/10.1002/jgt.10068