Pseudo S-Geodetic Number of a Fuzzy Graph

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Research ID QPF09

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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.

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Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

Funding

This work did not receive any external funding.

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  • Classification

    DDC Code: E LCC Code: PZ7.M267

  • Version of record

    v1.0

  • Issue date

    27 September 2022

  • Language

    en

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