Nilpotent Graph
Rings and Algebras
2018-04-25 v1 Combinatorics
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.
Cite
@article{arxiv.1804.08937,
title = {Nilpotent Graph},
author = {Dhiren Kumar Basnet and Ajay Sharma and Rahul Dutta},
journal= {arXiv preprint arXiv:1804.08937},
year = {2018}
}
Comments
8 pages, 2 figures