On global defensive k-alliances in zero-divisor graph of finite commutative rings
Commutative Algebra
2021-07-20 v1
Abstract
The global defensive -alliance is a very well studied notion in graph theory, it provides a method of classification of graphs based on relations between members of a particular set of vertices. In this paper we explore this notion in zero-divisor graph of commutative rings. The established results generalize and improve recent work by Muthana and Mamouni who treated a particular case for known by the global defensive alliance. Various examples are also provided which illustrate and delimit the scope of the established results.
Cite
@article{arxiv.2107.08418,
title = {On global defensive k-alliances in zero-divisor graph of finite commutative rings},
author = {Driss Bennis and Brahim El Alaoui and Khalid Ouarghi},
journal= {arXiv preprint arXiv:2107.08418},
year = {2021}
}