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Bounds on the Global Domination Number

A set S of vertices in a graph G is a global dominating set of G if S simultaneously dominates both G and its complement Ḡ. The minimum cardinality of a global dominating set of G is the global domination number of G. We determine bounds on the global domination number of a graph and relationships between it and other domination related parameters.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-16772
Date01 January 2015
CreatorsDesormeaux, Wyatt J., Gibson, Philip E., Haynes, Teresa W.
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

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