In this paper, we study vertex coloring edge of corona graph. A k-edge weigting of graph G is mapping w : (EG) ! f1; 2; ; kg. An edge-weighting w induces a vertex coloring Fw : V (G) ! N de ned by fw(v) = P v2e w(e). ...

All graph in this paper is connected graph. Let du,v be a distance between any vertex u and v in graph GV,E. A function c :VG 1, 2, , k is called a packing k  coloring if every two vertex of color i are ...

All graph in this paper are members of family of graph tree. Let G is a connected graph, for an ordered set W={w1,w2,...,wk} of vertices and a vertex which is not element of W, then W is dominating set of graph G when the ...

For a set W = { s1,s2,...,sk of vertices of a graph G, the representation multiset of a vertexv of G with respect to W is r(v | W ) = { d(v, s1),d(v, s2),...,d(v, sk) } , where d(v, si) is a distance between of ...

An elegant labeling on the graph G with n vertex and m edge is a one-to-one mapping (injection function) of the vertex set V (G) to the set of non negative integers {0, 1, 2, 3, . . . , m} such that each edge gets the ...

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 ...

This study is a natural extension of k -proper coloring of any simple and connected graph G. By a n rdynamic coloring of a graph G, we mean a proper k coloring of graph G such that the neighbors of any vert ...