On the $r$-Dynamic Chromatic Number of Corona Product of Star Graph

Arika Indah Kristiana, Mohammad Imam Utoyo, Dafik Dafik, Ridho Alfarisi, Eko Waluyo

Abstract

A proper $k$ coloring of graph $G$ such that the neighbors of any vertex $v \in V(G)$ 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 defined the $r$-dynamic chromatic number, denoted by $\chi_r(G)$. In this paper, we study the $r$-dynamic chromatic number of corona product of star graph.