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.
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