COMPLEMENTARY INDEPENDENT TWIN PAIRED DOMINATION NUMBER OF A GRAPH

M. Vimala Suganthi and G. Mahadevan

  DOI:  https://doi.org/10.37418/amsj.9.11.72

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The set $S\subseteq V$ is said to be complementary independent twin paired dominating set, if S is a paired dominating set and $< V – S>$ is a set of independent edges. The minimum cardinality taken over all the complementary independent twin paired dominating set is called as complementary independent twin paired domination number and it is denoted by CITD(G). In this paper we initiate this parameter with application and investigate this parameter for some standard and some special type graphs.

Keywords: Paired domination number, complementary independent twin paired domination number.