Equality of Strong Domination and Chromatic Strong Domination in Graphs

S Balamurugan, A Wilson Baskar, V Swaminathan

Abstract


A subset $D$ of a vertex set $V$ of a graph $G$ is a chromatic strong dominating set if $D$ is a strong dominating set and $\chi()=\chi(G)$.

The minimum cardinality of chromatic strong dominating set is called chromatic strong domination number of $G$ and is denoted by $\gamma_{s}^c(G)$. In this paper we study relationship between strong domination and chromatic strong domination of a graph.


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