SOME RESULTS ON DOUBLE TWIN DOMINATION NUMBER OF A GRAPH

S. Anuthiya and G. Mahadevan

  DOI:  https://doi.org/10.37418/amsj.9.11.73

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The total number of vertices that dominates every pair of vertices $SDTwin(G)=\sum DTwin(G)$ for $u,v \in V(G)$, where DTwin (u, v) is sum of number of a $u-v$ paths of length less than or equal to four. The double twin domination number of $G$ is defined as $DTD(G)=\frac{SDTwin(G)}{\binom{n}{2}}$”.

In this paper, we discuss this parameter for some standard graphs, corona product graph, Fan graph and umbrella graph.

Keywords: Medium domination number, extended medium domination number, double twin domination number.