Abstract
An isolated signed total dominating function (ISTDF) of a digraph is a function \(f: V(D) \rightarrow\{-1,+1\}\) such that \(\sum_u \in N-(v) \geq 1\) for every vertex \(v \in V(D)\) and for at least one vertex of \(w \in V(D), f\left(N^{-}(w)\right)=+1\). An isolated signed totaldomination number of \(\mathrm{D}\), denoted by \(\gamma_{\text {ist }}(D)\), in the minimal weight of an isolated signed total dominating function of \(D\). In this paper, we study some properties of ISTDF.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.