We define the r-dynamic local irregularity vertex coloring. Suppose  : V(G)  {1,2, … , k} is called vertex irregular k-labeling and w : V(G)  N where 𝑤(𝑢) = ∑ (𝑣) .  is called r-dynamic local irregular vertex ...

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). ...

A function f is called a local irregularity vertex coloring if (i) l : V (G) ! f1; 2; ; kg as vertex irregular k-labeling and w : V (G) ! N, for every uv 2 E(G); w(u) 6= w(v) where w(u) = v2N(u)l(v) and (ii) ...

A proper k coloring of graph G such that the neighbors of any vertex v ∈ V (G) where at least min{r, d(v)} different colors is defined an r-dynamic coloring. The minimum k such that graph G has an r-dynamic k coloring is ...