Characterization of Signed Double-Star Admitting Minus Dominating Function
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Keywords:
Signed graphs, Minus domination, Minus Dominating FunctionAbstract
Given a signed graph $G=(V,E,\sigma)$, a function $f:V \rightarrow \{-1,0,1\}$ is a minus dominating function of $G$ if $f(u)+\sum_{v \in N(u)} \sigma(uv)f(v) \geq1$ for all $ u \hspace{0.1cm}\in V $. In this paper we characterize double star to admit an MDF and give some sufficient conditions for a general graph $G$ to admit an MDF.
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