$S-$vertex colouring on categorical product of $S-$valued graphs

P. Victor 1 * and M. Chandramouleeswaran 2

doi:10.26637/MJM0S01/0022

$S-$vertex colouring on categorical product of $S-$valued graphs

Authors :

P. Victor^{1 *} and M. Chandramouleeswaran ²

Author Address :

¹ Department of Mathematics, Mohamed Sathak Engineering College, Kilakarai-623806, Tamil Nadu, India.
² Department of Mathematics, Sri Ramanas College of Arts and Science for Women, Aruppukottai-626134, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, we reformulate the definition of $S-$vertex colouring of $S-$valued graphs, and study the $S-$vertex colouring in categorical product of $S-$valued graphs and prove some simple results.

Keywords :

$S-$vertex colouring, $S-$valued Graphs, categorical Product of $S-$valued graphs.

DOI :

10.26637/MJM0S01/0022

Article Info :

Received : December 21, 2018; Accepted : February 11, 2019.