Some results on the non-zero divisor graphs of Zn

In this work, we study several features of the non-zero divisor graphs (ℵZD- graph) for the ring Zn of integer modulo n. For instance, the clique number, radius, girth, domination number, and the local clustering coefficient are determined. Furthermore, we present an algorithm that calculates the clique number and draws the non-zero divisor for the ring Zn.

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Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2025-01-01
DOI
https://doi.org/10.47974/jdmsc-2268
Citations
1
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
5.38
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article

Some results on the non-zero divisor graphs of Zn

Fatema Ahmad Sadiq, Haider A. Ramadhan, Ali Abd Aubad
1 citations
Journal of Discrete Mathematical Sciences and Cryptography
Rings, Modules, and Algebras
5.38
article

Some results on the non-zero divisor graphs of Zn

Fatema Ahmad Sadiq, Haider A. Ramadhan, Ali Abd Aubad
article en
1 citations

Abstract

In this work, we study several features of the non-zero divisor graphs (ℵZD- graph) for the ring Zn of integer modulo n. For instance, the clique number, radius, girth, domination number, and the local clustering coefficient are determined. Furthermore, we present an algorithm that calculates the clique number and draws the non-zero divisor for the ring Zn.

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(4-B)
Openalex Percentile: Top 7%
Rings, Modules, and Algebras
5.38
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Some results on the non-zero divisor graphs of Zn — Fatema Ahmad Sadiq, Haider A. Ramadhan, et al. · Journal of Discrete Mathematical Sciences and Cryptography (2025) | TGRS Research Map | TGRS