Star coloring under some graph operations

AuthorsB. Akhavan Mahdavi, M. Tavakoli, F. Rahbarnia and A. R. Ashrafi
JournalAsian-European Journal of Mathematics
Page number2250079
Serial number4
Volume number15
Paper TypeOriginal Research
Published AtApril 2022
Journal GradeISI (WOS)
Journal TypeTypographic
Journal CountrySingapore

Abstract

A star coloring of a graph G is a proper coloring of G such that no path of length 3 in
G is bicolored. In this paper, the star chromatic number of join of graphs is computed.
Some sharp bounds for the star chromatic number of corona, lexicographic, deleted
lexicographic and hierarchical product of graphs together with a conjecture on the star
chromatic number of lexicographic product of graphs are also presented.

Paper URL

tags: Graph star coloring, proper coloring, product graph