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

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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.



Article Info :

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



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