On global defensive k-alliances in zero-divisor graph of finite commutative rings
arXiv:2107.08418
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.