On Spectrum of the Weakly Zero-Divisor Graph
Let us consider the finite commutative ring R, whose unity is 10. The weakly zero-divisor graph, denoted by WΓ(R), is an undirected graph whose distinct vertices c1 and c2 are adjacent if and only if, there exist r ∈ ann(c1) and s ∈ ann(c2) that satisfy the condition rs = 0. This article finds the Seidel Laplacian and Seidel signless Laplacian spectrum for the graph WΓ(Zn) for various values of n.
Authors
- Muzibur Rahman Mozumder (ORCID: https://orcid.org/0000-0002-0350-9377)
- Abu Zaid Ansari (ORCID: https://orcid.org/0000-0001-6139-7521)
- Faiza Shujat (ORCID: https://orcid.org/0000-0001-5537-9837)
- 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)
- Taibah University (SA)
- Islamic University of Madinah (SA)
Publication Details
- Journal
- Contemporary Mathematics
- Published
- 2025-09-24
- DOI
- https://doi.org/10.37256/cm.6520258269
- Primary Topic
- Graph theory and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Department of Science and Technology, Ministry of Science and Technology, India
- Islamic University of Madinah
- Science and Engineering Research Board