Quotient Energy of Zero Divisor Graphs And Identity Graphs

Authors

M. Lalitha Kumari, P.G. and Research Department of Mathematics, A.P.C. Mahalaxmi College for Women, Thoothukudi-628002, Tamil Nadu, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli- 627012,Tamil Nadu, India.Follow
L. Pandiselvi, Department of Mathematics, V.O. Chidambaram College, Thoothukudi-628008, Tamil Nadu, India.Follow
K. Palani, P.G. and Research Department of Mathematics, A.P.C. Mahalaxmi College for Women, Thoothukudi-628002, Tamil Nadu, India.Follow

Abstract

Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph make up the graph's quotient energy. The objective of this study is to examine the quotient energy of identity graphs and zero-divisor graphs of commutative rings using group theory, graph theory, and applications. In this study, the identity graphs derived from the group and a few classes of zero-divisor graphs of the commutative ring R are examined.

Keywords

Commutative ring, Identity Graphs, Quotient energy, Quotient matrix, Zero-Divisor Graphs

Article Type

Special Issue Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Kumari, M. Lalitha; Pandiselvi, L.; and Palani, K. (2023) "Quotient Energy of Zero Divisor Graphs And Identity Graphs," Baghdad Science Journal: Vol. 20: Iss. 1, Article 33.
DOI: https://doi.org/10.21123/bsj.2023.8408