Some Characterizations of Whole Edge Domination in Bipolar Fuzzy Graphs

T. C. Mujeeburahman *

PG and Research Department of Mathematics, Jamal Mohamed College(Autonomous), (Affiliated to Bharathidasan University), Tiruchirapplli-620020, India.

R. Jahir Hussain

PG and Research Department of Mathematics, Jamal Mohamed College(Autonomous), (Affiliated to Bharathidasan University), Tiruchirapplli-620020, India.

Said Broumi

Laboratory of Information Processing, Faculty of Science Ben M'Sik, University of Hassan II, Casablanca, Morocco.

*Author to whom correspondence should be addressed.


Abstract

In this paper, Some bounds, theorems and results on whole edge domination number in bipolar fuzzy graph are established with support of some examples. The concepts of perfect, complete perfect and semi-perfect whole edge domination in bipolar fuzzy graph are discussed and investigated with some of their properties and also results on perfect contributed via the support of some examples.

Keywords: Bipolar fuzzy graph (BFG), strong edge, Domination number, Edge domination number, Whole edge domination number


How to Cite

Mujeeburahman, T. C., R. Jahir Hussain, and Said Broumi. 2023. “Some Characterizations of Whole Edge Domination in Bipolar Fuzzy Graphs”. Asian Research Journal of Mathematics 19 (10):140-53. https://doi.org/10.9734/arjom/2023/v19i10736.