Local irregular vertex coloring of comb product by path graph and star graph.

Let G be a simple graph and connected. A function l : V (G) → { 1 , 2 , ... , k } is called vertex irregular k -labeling and w : V (G) → N where w (u) = ∑ v ∈ N (u) l (v). The function of f is called local irregular vertex coloring if every u v ∈ E (G) , w (u) ≠ w (v) and opt (l) = min { max l i ; l i vertex irregular labeling}. The local irregular chromatic number is denoted by χ lis (G). In this paper, we study local irregular vertex coloring of S m ▹ v 0 S n , S m ▹ v 1 S n , and S m ▹ v 1 P n. [ABSTRACT FROM AUTHOR]