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IMCS/Publications/CSJM/Issues/CSJM v.23, n.1 (67), 2015/

Bounds on Global Total Domination in Graphs

Authors: Nader Jafari Rad, Elahe Sharifi
Keywords: Domination; Total domination; Global total domination.Domination; Total domination; Global total domination.

Abstract

A subset S of vertices in a graph G is aglobal total dominating set, or just GTDS, if $S$ is a total dominating set of both G and $\overline{G}$. The global total domination number $\gamma_{gt}(G)$ of G is the minimum cardinality of a GTDS of G. We present bounds for the global total domination number in graphs.

Department of Mathematics,
Shahrood University of Technology,
Shahrood, Iran
E-mail: ,

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