2-Secure Domination in Bipolar Hesitancy Fuzzy Graph

T. C. Mujeeburahman *

PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India.

R Jahir Hussain

PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India.

*Author to whom correspondence should be addressed.


Abstract

We establish secure domination in bipolar hesitancy fuzzy graph. We extend the concept to secure total domination and 2- secure domination in bipolar hesitancy fuzzy graph. Further some theorems and examples related to secure domination are discussed.

Keywords: Bipolar fuzzy graph, hesitant fuzzy graph, domination number, secure domination, 2-Secure domination


How to Cite

Mujeeburahman, T. C., and R Jahir Hussain. 2023. “2-Secure Domination in Bipolar Hesitancy Fuzzy Graph”. Asian Research Journal of Mathematics 19 (7):56-64. https://doi.org/10.9734/arjom/2023/v19i7679.

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