OPERATIONS ON TOTALLY WEIGHTED GRAPHS

OPERATIONS ON TOTALLY WEIGHTED GRAPHS

Jicy N.

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Abstract

The investigation and study of different operations on graphs leads many in- teresting results in various branches of science and technology. The operations of union, join, corona, Cartesian product and strong product in totally weighted graphs are intro- duced in this article. The types of edges in the resultant graphs are studied and strong connectivity indices of totally weighted graphs through these graph operations are dis- cussed here. Weighted graph operations are relevant, as many complicated networks can be obtained through the operations of basic types of networks.

Keywords

Weighted graph, union, join, Cartesian product, composition, strong connec- tivity index.