Application of near approximations in Cayley graphs.

In this paper, we study near approximations in Cayley graphs, which are an extended study of rough approximations in Cayley graphs by using more than one equivalence relations. Furthermore, we introduce the notion of a near edge Cayley graphs, expanded to the near vertex pseudo-Cayley graphs and near pseudo-Cayley graphs. Some theorems dealing with the properties discussed are derived. We illustrate some examples especially in cyclic groups for simplification in graphs visualization. [ABSTRACT FROM AUTHOR]