Nilpotent Graph

Authors

Dhiren Kumar Basnet, Tezpur University, IndiaFollow
Ajay Sharma, Ajay SharmaFollow
Rahul Dutta, Tezpur UniversityFollow

Abstract

In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertices are adjacent if and only if their sum is nilpotent. We discuss some graph theoretic properties of nilpotent graph.

Creative Commons License

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

Recommended Citation

Basnet, Dhiren Kumar; Sharma, Ajay; and Dutta, Rahul (2021) "Nilpotent Graph," Theory and Applications of Graphs: Vol. 8: Iss. 1, Article 2.
DOI: 10.20429/tag.2021.080102
Available at: https://digitalcommons.georgiasouthern.edu/tag/vol8/iss1/2