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Pseudo S-Geodetic Number of a Fuzzy Graph

Abstract

In this paper, the concept of Pseudo s-geodetic number of fuzzy graphs is introduced and it is shown that the Pseudo s-geodetic set is not in general a complementary s-geodetic set of a fuzzy graph. An upper and lower bound for the Pseudo s-geodetic number is exhibited. The Pseudo s-geodetic number of paths, fuzzy trees and of complete bipartite fuzzy graphs are obtained. An application of Pseudo s-geodetic sets in Location Theory has also been illustrated.

Keywords

:s-geodetic cover, Pseudo s-geodetic number., Pseudo sgeodetic set, s-geodetic basis, s-geodetic number

  • License

    Creative Commons Attribution 4.0 (CC BY 4.0)

  • Language & Pages

    English, 63-70

  • Classification

    DDC Code: E LCC Code: PZ7.M267

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