Decomposition of Neutrosophic Zero-divisor graph

Balakrishnan A; Kanchana M; Said Broumi; Thirugnanasambandam K

Decomposition of Neutrosophic Zero-divisor graph

Authors

Balakrishnan A Muthurangam Government Arts College(Autonomous), Vellore, India;
Kanchana M VIT, Vellore, India;
Said Broumi Department of Mathematics,Saveetha School of Engineering, SIMATS Thandalam, Chennai 602105,Tamilnadu, India; Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco.
Thirugnanasambandam K Muthurangam Government Arts College(Autonomous), Vellore, India.

Keywords:

: Neutrosophic Zero divisor graph; decomposition; complete neutrosophic bipartite graph; Neutrosophic cycle.

Abstract

Let ⟨R∪I ⟩ be a commutative ring and let Γ(Zˆn) be the neutrosophic zero-divisor graph of R, where
the vertex set of Zˆn are non-zero zero divisors with (T , I , F) truth, indeterminacy, and falsity membership
functions such that the two vertices u, v are adjacent if n divides uv. In this article, we introduce decomposition of the neutrosophic zero-divisor graph of a commutative ring and also discuss some special neutrosophic
zero-divisor graphs of Γ(Zˆn) where n is a prime number, such as Γ(Zˆ
22p2 ), Γ(Zˆ
32p2 ), Γ(Zˆ
52p2 ), and Γ(Zˆ
p2q
2 )

DOI: 10.5281/zenodo.15135123

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Published

2025-06-01

Issue

Vol. 83 (2025): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

Balakrishnan A, Kanchana M, Said Broumi, & Thirugnanasambandam K. (2025). Decomposition of Neutrosophic Zero-divisor graph. Neutrosophic Sets and Systems, 83, 134-147. https://fs.unm.edu/nss8/index.php/111/article/view/6105