On regular power fuzzy graphs

T. Bharathi; S. Shiny Paulin; M. Jeba Sherlin

doi:10.2478/jamsi-2024-0011

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On regular power fuzzy graphs

Journal of Applied Mathematics, Statistics and Informatics

Volume 20 (2024): Issue 2 (December 2024)

By: T. Bharathi, S. Shiny Paulin and M. Jeba Sherlin

Open Access

|Dec 2024

Abstract

In this paper, we define the notion of regular power fuzzy graph (RPFG), as a combination of regular properties and power fuzzy graphs. We also define totally regular power fuzzy graph as a special case of RPFG. A comparative study between regular and totally regular power fuzzy graphs is investigated. It is also proved that any power fuzzy graph containing a pendant vertex can be neither regular nor totally regular. A necessary condition for a total power fuzzy graph to be perfectly regular is that the vertex and edge membership functions are constants.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2024-0011 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 5 - 18

Published on: Dec 22, 2024

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Power fuzzy graph,

Regular power fuzzy graph,

Totally regular power fuzzy graph.

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2024 T. Bharathi, S. Shiny Paulin, M. Jeba Sherlin, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 20 (2024): Issue 2 (December 2024)