Let ( )EVG , be a simple and connected graph of vertex set V and edge set E. By the 2-distance chromatic number of a graph G, we mean a map ( ) { }k c GV ,1 ,2 ,3 ..., : → such that any two vertices ...

In this paper we will study the r-dynamic chromatic number of the coronation by complete graph. A proper k-coloring of graph G such that the neighbors of any vertex v receive at least minfr; d(v)g di®erent colors. The ...