
On local antimagic vertex coloring of corona products related to friendship and fan graph
Author(s) -
Zein Rasyid Himami,
Denny Riama Silaban
Publication year - 2021
Publication title -
indonesian journal of combinatorics
Language(s) - English
Resource type - Journals
ISSN - 2541-2205
DOI - 10.19184/ijc.2021.5.2.7
Subject(s) - combinatorics , mathematics
Let G =( V , E ) be connected graph. A bijection f : E → {1,2,3,..., | E |} is a local antimagic of G if any adjacent vertices u,v ∈ V satisfies w ( u )≠ w ( v ), where w ( u )=∑ e∈E(u) f ( e ), E ( u ) is the set of edges incident to u . When vertex u is assigned the color w ( u ), we called it a local antimagic vertex coloring of G . A local antimagic chromatic number of G , denoted by χ la ( G ), is the minimum number of colors taken over all colorings induced by the local antimagic labeling of G . In this paper, we determine the local antimagic chromatic number of corona product of friendship and fan with null graph on m vertices, namely, χ la ( F n ⊙ \overline{K_m}) and χ la ( f (1,n) ⊙ \overline{K_m}).