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- Title
Spectrum of the Cozero-Divisor Graph Associated to Ring Z n.
- Authors
Rashid, Mohd; Alali, Amal S.; Ahmed, Wasim; Mozumder, Muzibur Rahman
- Abstract
Let R be a commutative ring with identity 1 ≠ 0 and let Z (R) ′ be the set of all non-unit and non-zero elements of ring R. Γ ′ (R) denotes the cozero-divisor graph of R and is an undirected graph with vertex set Z (R) ′ , w ∉ z R , and z ∉ w R if and only if two distinct vertices w and z are adjacent, where q R is the ideal generated by the element q in R. In this article, we investigate the signless Laplacian eigenvalues of the graphs Γ ′ (Z n) . We also show that the cozero-divisor graph Γ ′ (Z p 1 p 2 ) is a signless Laplacian integral.
- Subjects
DIVISOR theory; COMMUTATIVE rings; UNDIRECTED graphs; RINGS of integers; EIGENVALUES
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 10, p957
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12100957