In that paper the fuzzy equality co-neighborhood domination and denoted by $\gamma_
{en}(G) $ for a new definition of domination was described for the fuzzy graph. This new …

The idea of this paper is to study the arrow edge domination. The arrow edge dominating set
$ D_ {e} $ of a graph $ G $ is an arrow edge dominating set if every edge from $ D …

The aim of this paper is to introduce some new modified types of arrow domination by
adding some conditions on the arrow dominating set or on its complement set. Co …

Let $ G_ {\tau}=(V, E) $ be a topological graph constructed from the topological space
$(X,\tau) $. In this paper, several types of dominating parameters are applied on the …

In this paper, an inverse triple effect domination is introduced for any finite graph $ G=(V, E)
$ simple and undirected without isolated vertices. A subset $ D^{-1} $ of $ VD $ is an inverse …

In this paper, a new idea to configure a special graph from the discrete topological space is
given. Several properties and bounds of this topological graph are introduced. Such that if …

The dominating problem is one of the topics in graph theory because of its applications in
different areas. In this paper, some dominating sets are applied in the discrete topological …

The dominating sets play an important role in applications of graph theory. In this field, some
recent studies discussed the properties of the minimum dominating set ($\gamma $-set). The …

The aim of this paper is to introduce a new parameter of domination in graphs called" Rings
Domination Number". Some properties and important boundaries of the rings dominating set …

Let $ G=(V, E) $ be a graph without isolated vertices. A subset $ D\subseteq V $ is triple
effect dominating set, if every vertex in $ D $ dominates exactly three vertices of $ VD $. The …