Abstract :
Abstract In the present manuscript, we present and analyze the notion of a split neighborhood set in the context of fuzzy graphs. Additionally, we delve into the connections involving the split neighborhood number with the other known parameters in . Furthermore, we derive numerous inequalities for the parameter . Additionally, we provide a result akin to the Nordhaus-Gaddum theorem pertaining to this parameter.
Keyword :
Keywords: Fuzzy graph, neighborhood number, split neighborhood number, domination number