$S^{+}-$valued graphs and its Cartesian product

M. Sundar 1 * and M. Chandramouleeswaran 2

doi:10.26637/MJM0S01/0019

$S^{+}-$valued graphs and its Cartesian product

Authors :

M. Sundar ^{1 *} and M. Chandramouleeswaran ²

Author Address :

¹ Department of Mathematics, Sree Sowdambika College of Engineering, Aruppukottai-626143, India.
² PG Department of Mathematics, Sri Ramanas College of Arts and Science for Women, Chettikurichi-626143, India.

*Corresponding author.

Abstract :

In this paper, we introduce a new class of $S-$valued graphs, called $S^+-$valued graphs by assigning the weights of the vertices as usual and edge weight is assigned by using the addition operation in the semiring.

Keywords :

Semiring, $S-$valued graphs, Cartesian product of $S-$valued graphs.

DOI :

10.26637/MJM0S01/0019

Article Info :

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