Split and Non–Split Domination Number in Bipolar Fuzzy Graphs

Abstract

In this paper the concept of split domination and non -split domination in bipolar fuzzy graphs are introduced and investigated some of their properties. Also relationship between connected domination, split domination, strong split domination and non -split domination number in bipolar fuzzy graphs are discussed.

Split Domination In Interval-valued Fuzzy Graphs

“…In (1997) Kulli [16] introduced and investigated the concept of split domination number of graph then in (2008) Mahyoub and Sonar discussed the split domination number of fuzzy graphs [17]. In (2017) A. Prasanna, C. Gurubaran and S. Ismail Mohideen [18] are introduced and investigated the concept split and nonsplit domination number in bipolar fuzzy graphs. In (2019) R. Muthuraj and A. Kanimozhi [19] are define Split Total strong (weak) domination in bipolar fuzzy graph.…”