Connected cototal domination number of a graph

Document Type: Research Paper

Authors

1 Karnatak University

2 Karnatak University, Dharwad

Abstract

A dominating set $D \subseteq V$ of a graph $G = (V,E)$ is said to be a connected cototal dominating set if $\langle D \rangle$ is connected and $\langle V-D \rangle \neq \varnothing $‎, ‎contains no isolated vertices‎. ‎A connected cototal dominating set is said to be minimal if no proper subset of $D$ is connected cototal dominating set‎. ‎The connected cototal domination number $\gamma_{ccl}(G)$ of $G$ is the minimum cardinality of a minimal connected cototal dominating set of $G$‎. ‎In this paper‎, ‎we begin an investigation of connected cototal domination number and obtain some interesting results‎.

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