Product Operations on Pythagorean Co-Neutrosophic Graphs and its Application

Authors

  • G. Vetrivel Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India;
  • M. Mullai Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India;
  • G. Rajchakit Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand;

Keywords:

Pythagorean co-neutrosophic graph; Modular product; Homomorphic product; Symmetric difference.

Abstract

Pythagorean Co-Neutrosophic Graphs (PyCNGs) have newly emerged after the foundation of
Pythagorean fuzzy graph and Co-neutrosophic graphs, where the membership of indeterminacy(uncertain)
is independent and membership of truth(existence) & false(non-existence) are dependent. This paper has a
wide discussion of different product operations carried out in PyCNGs. Some properties like strong, complete
with consideration of a vertex’s degree in the graph are explored with examples. Also, an application related
to the product on PyCNGs is demonstrated with brain network analysis and its function.

 

DOI: 10.5281/zenodo.13566972

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Published

2024-09-11

Issue

Vol. 72 (2024): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

G. Vetrivel, M. Mullai, & G. Rajchakit. (2024). Product Operations on Pythagorean Co-Neutrosophic Graphs and its Application. Neutrosophic Sets and Systems, 72, 357-380. https://fs.unm.edu/nss8/index.php/111/article/view/4879