Quotient Energy of Zero Divisor Graphs And Identity Graphs
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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.
Received 20/1/2023
Revised 18/2/2023
Accepted 19/2/2023
Published 1/3/2023
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