Unique Isolated Signed Dominating Function in Graphs

Abstract

A graph G is said to be an unique isolated signed dominating function (UISDF) if , there exists exactly one vertex  with . The unique isolated signed domination number , is the minimum weight of an UISDF of the graph G. Some properties of unique isolated signed dominating function of some disconnected graphs and special graphs were presented in this paper.

AMS Subject Classification: 05C69