Exploring Aα spectrum of the weakly zero-divisor graph of the ring ℤn
Let us consider the finite commutative ring [Formula: see text], whose unity is [Formula: see text] Its weakly zero-divisor graph, represented as [Formula: see text], is a basic undirected graph with two distinct vertices, [Formula: see text] and [Formula: see text] that are adjacent if and only if there exist [Formula: see text] and [Formula: see text] that satisfy the condition [Formula: see text]. The spanning sub-graph of the weakly zero-divisor graph is the zero-divisor graph of a ring. This paper finds the [Formula: see text] spectrum for the graph [Formula: see text] for various values of [Formula: see text].
Authors
- Muzibur Rahman Mozumder (ORCID: https://orcid.org/0000-0002-0350-9377)
- Asif Ali Khan (ORCID: https://orcid.org/0000-0002-3198-9363)
- Mohd Zamzuri Ab Rashid (ORCID: https://orcid.org/0000-0003-3724-7608)
Institutions
- Aligarh Muslim University (IN)
Publication Details
- Journal
- Discrete Mathematics Algorithms and Applications
- Published
- 2025-02-28
- DOI
- https://doi.org/10.1142/s179383092550048x
- Citations
- 1
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 5.38