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Domination Parameters of a Graph and Its Complement

A dominating set in a graph G is a set S of vertices such that every vertex in V (G) \ S is adjacent to at least one vertex in S, and the domination number of G is the minimum cardinality of a dominating set of G. Placing constraints on a dominating set yields different domination parameters, including total, connected, restrained, and clique domination numbers. In this paper, we study relationships among domination parameters of a graph and its complement.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-11637
Date01 January 2018
CreatorsDesormeaux, Wyatt J., Haynes, Teresa W., Henning, Michael A.
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

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