On local antimagic chromatic number of a corona product graph

TL;DR

This paper corrects previous proofs and establishes exact values for the local antimagic chromatic number of corona products involving friendship and fan graphs, advancing understanding in graph coloring theory.

Contribution

It provides a corrected proof for lower bounds and determines the exact local antimagic chromatic number for specific corona product graphs.

Findings

Corrected previous lower bounds for certain corona product graphs.

Established exact local antimagic chromatic number for friendship and null graph products.

Enhanced theoretical understanding of graph coloring in corona products.

Abstract

In this paper, we provide a correct proof for the lower bounds of the local antimagic chromatic number of the corona product of friendship and fan graphs with null graph respectively as in [On local antimagic vertex coloring of corona products related to friendship and fan graph, {\it Indon. J. Combin.}, 5(2) (2021) 110--121]. Consequently, we obtained a sharp lower bound that gives the exact local antimagic chromatic number of the corona product of friendship and null graph.