Work

On Spectrum of the Weakly Zero-Divisor Graph

Year: 2025

Type: article

Abstract: 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.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6520258269

Authors: Asif Imtiyaz Ahmad Khan, Muzibur Rahman Mozumder, Mohd Rashid, Abu Zaid Ansari, Faiza Shujat

Institutions: Aligarh Muslim University, Islamic University of Madinah, Taibah University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Islamic University of Madinah, Science and Engineering Research Board

Award: G688765097