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ON STAR COLORING OF LEXICOGRAPHIC PRODUCT OF GRAPHS.

Authors :
R., SIVAKAMI
K., KALIRAJ
J., VERNOLD VIVIN
Source :
Acta Universitatis Apulensis: Mathematics-Informatics; 2021, Issue 67, p49-59, 11p
Publication Year :
2021

Abstract

A star coloring of a graph G is a proper vertex coloring in which every path on four vertices in G is not bicolored. The star chromatic number X<subscript>s</subscript> (G) of G is the least number of colors needed to star color G. In this paper, we determine the star chromatic number of lexicographic product of complete graph with complete graph K<subscript>m</subscript>[K<subscript>n</subscript>], complete graph with wheel graph K<subscript>m</subscript>[W<subscript>n</subscript>], complete graph with path Km[P<subscript>n</subscript>] and path with path P<subscript>m</subscript>[P<subscript>n</subscript>]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15825329
Issue :
67
Database :
Complementary Index
Journal :
Acta Universitatis Apulensis: Mathematics-Informatics
Publication Type :
Academic Journal
Accession number :
153490741
Full Text :
https://doi.org/10.17114/j.aua.2021.67.05