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

Institutions

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Exploring Aα spectrum of the weakly zero-divisor graph of the ring ℤn

Muzibur Rahman Mozumder, Asif Ali Khan, Mohd Zamzuri Ab Rashid
1 citations
Discrete Mathematics Algorithms and Applications
Rings, Modules, and Algebras
5.38
article

Exploring Aα spectrum of the weakly zero-divisor graph of the ring ℤn

Muzibur Rahman Mozumder, Asif Ali Khan, Mohd Zamzuri Ab Rashid
article en
1 citations

Abstract

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].

Discrete Mathematics Algorithms and ApplicationsVol. 18(03)
Aligarh Muslim University (IN)
Openalex Percentile: Top 10%
Rings, Modules, and Algebras
5.38
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.