The present paper aims to distinguish two graphs associated to KU-algebras. We construct KU-algebras graph using right zero divisors notion. Properties of right zero divisors in KU-algebras were studied. Moreover, it is proved that the set of right zero divisors of the identity element is a quasi R-prime ideal, whereas the sets of right zero divisors of all other elements are not quasi ideals. A condition is given for a graph to be a star and a complete graph. Then, we show that the diameter of a right zero graph of KU -algebras is two at most. Finally, graph isomorphism has been considered. It has been shown that KU-algebras graph constructed in this paper is not isomorphic to the KU-algebras graph constructed using KU-annihilator.
Digital Object Identifier (DOI)
"Distinguishing Graphs Associated to KU-Algebras using Graph Invariants,"
Applied Mathematics & Information Sciences: Vol. 15:
1, Article 3.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss1/3