Strong Domination Number of Some Wheel Related Graphs

S K Vaidya, R N Mehta

Abstract


A vertex $u$ strongly dominates $v$ or $v$ weakly dominates $u$ if $uv \in E(G)$ and $deg(u) \geq deg(v)$ in graph $G$. A subset $D$ is a strong(weak) dominating set if every vertex $v \in V(G)-D$ is strongly(weakly) dominated by some $u$ in $D$. The minimum cardinality of a strong(weak) dominating set is the strong(weak) domination number. In this paper we explore the concept of strong domination number and investigate strong domination number of some wheel related graphs.

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