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- Title
Sombor index and eigenvalues of comaximal graphs of commutative rings.
- Authors
Rather, Bilal Ahmad; Imran, Muhammed; Pirzada, S.
- Abstract
The comaximal graph Γ (R) of a commutative ring R is a simple graph with vertex set R and two distinct vertices u and v of Γ (R) are adjacent if and only if u R + v R = R. In this paper, we find the sharp bounds for the Sombor index for comaximal graphs of integer modulo ring ℤ n and give the corresponding extremal graphs. Also, we find the Sombor eigenvalues and the bounds for the Sombor energy of comaximal graphs of ℤ n .
- Subjects
COMMUTATIVE rings; EIGENVALUES; RINGS of integers
- Publication
Journal of Algebra & Its Applications, 2024, Vol 23, Issue 6, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498824501159