International Journal of Engineering, Science and Mathematics
  • Year: 2018
  • Volume: 7
  • Issue: 11

Split domination in fuzzy planar graph

  • Author:
  • K. Priya1, S. Manonmani2
  • Total Page Count: 7
  • Page Number: 74 to 80

1Assistant Professor, Department of Mathematics, Idhaya College for Women. Kumbakonam

2M. Phil Scholar, Sakthi College of Arts and Science for Womens, (Affiliated to Mother Teresa Women's University, Kodaikanal.) Oddanchatram-624619, Dindigul(Dt), Tamilnadu, India

Online published on 7 May, 2019.

Abstract

Fuzzy graph is now a very important research area due to its wide application. Fuzzy Planar Graph is an important subclass of fuzzy graph. The split domination number of G is the minimum fuzzy cardinality of a split dominating set. In this paper, we introduced a new concept of "Split Domination in Fuzzy Planar Graph". It is combination of spilt domination and fuzzy planar graph. Here, we studied the relation between a split domination number and value of planarity. We derived some results by using minimal domination set.

Keywords

Fuzzy graph, Fuzzy planar graph, Split domination number, minimal domination set, Domination in fuzzy planar graph