Bull. Korean Math. Soc.
Published online May 7, 2021
Young Soo Kwon, Jaeun Lee, and Moo Young Sohn
Yeungnam University, Changwon National University
Abstract : In this paper, we consider several domination parameters like perfect domi-
nation number, locating-domination number, open-locating-domination number, etc. in
the Mycielski graph M(G) of a graph G. We found upper bounds for locating-domination
number of M(G) and computational formulae for perfect locating-domination number
and open locating-domination number of M(G). We also showed that the perfect domi-
nation number of M(G) is at least that of G plus 1 and that for each positive integer n,
there exists a graph Gn such that the perfect domination number of M(Gn) is equal to
that of Gn plus n.
Keywords : Mycielski graph, domination number
MSC numbers : 05C69
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