International Journal of Academic and Applied Research (IJAAR)
  Year: 2021 | Volume: 5 | Issue: 7 | Page No.: 23-42
On Local Irregularity Vertex Coloring of Corona Product Graph ?(P?_m?E_(3,n))
M. Hidayat, Arika Indah Kristiana, Robiatul Adawiyah, Ridho Alfarisi

Abstract:
Let G=(V,E) be a graph with vertex set V and edge set E. The graph G is a said to be a local irregular vertex coloring if there is a function f is a called a local irregularity vertex coloring if : (i) l : (V(G))?{1,2,3,...k} as a vertex irregular k-labeling and w : (V(G))?N, for every uv?: E(G), w(u)?w(v) where w(u)?_(v?N(u))??l(i)? and (ii) opt(l)=min?{max?l(i);l(i)vertex irregular labeling}. The chormatic number of local irregularity vertex coloring of G denoted by ?_lis (G), is the minimum cardinality of the largest label over all vertex coloring. In this paper, we study local irregular vertex coloring of path graph corona product E graph ( P_m?E_(3,n)).