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.
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
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© 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.