Isolated signed dominating function of graphs
Authors :
S. Rishitha Dayana 1 * and S. Chandra Kumar 2
Author Address :
1 Research Scholar, Reg No-17223162092029, Department of Mathematics, Scott Christian College, Nagercoil-629003, Tamil Nadu, India.
2 Department of Mathematics, Scott Christian College, Nagercoil-629003, Tamil Nadu, India.
*Corresponding author.
Abstract :
An isolated signed dominating function(ISDF) of a graph $G$ is a signed dominating function(SDF) $f:V(G)\rightarrow \{-1,+1 \}$ such that $f(N[w])=+1$ for at least one vertex of $w \in V(G)$. An isolated signed domination number of $G$, denoted by $\gamma_{is}(G)$, is the minimum weight of an ISDF of $G$. In this paper, we study some properties of ISDF and we give isolated signed domination number of disconnected graphs, cycles and paths.
Keywords :
Isolated domination, signed dominating function, isolated signed dominating function.
DOI :
Article Info :
Received : August 07, 2019; Accepted : December 09, 2019.
