Signed domination function of graphical image of trisomy ultrascan

Abstract

  Let $G$ be a $(p,q)$ graph.  A function $f : V \rightarrow \{-1, +1\}$ is a signed dominating function of $G$, if for every vertex $v \in V$, $f(N[v]) \geq 1$. The signed domination number, denoted by $\gamma_{s}(G)$, is the minimum weight of a signed dominating function on $G$. In this article, we find the singed domination number of graphical image of ultrascan.