$S^{+}-$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 :
Article Info :
Received : December 21, 2018; Accepted : February 11, 2019.