Upper Total Domination

Name: Upper Total Domination
Keywords: 16. Peace & justice

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2013 English Publisher:Springer New York

Authors: Anders Yeo; Michael A. Henning;

doi: 10.1007/978-1-4614-6525-6_16

Upper Total Domination

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Abstract

In this chapter we focus on the upper total domination number of a graph. Recall that the upper domination number of a graph G, denoted by Γ(G), is the maximum cardinality of a minimal dominating set in G, while the upper total domination number of G, denoted by Γ t (G), is the maximum cardinality of a minimal TD-set in G. We call a minimal dominating set of cardinality Γ(G) a Γ(G)-set. Similarly, we call a minimal TD-set of cardinality Γ t (G) a Γ t (G)-set.

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University of Johannesburg
South Africa

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