A Reconsideration of Advanced Concepts in Neutrosophic Graphs: Smart, Zero Divisor, Layered, Weak, Semi, and Chemical Graphs

Takaaki Fujita, Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, JapanFollow
Florentin Smarandache, Department of Mathematics & Sciences, University of New Mexico, Gallup, NM 87301, USAFollow

ORCID

Takaaki Fujita: https://orcid.org/0009-0007-1509-2728

Florentin Smarandache: https://orcid.org/0000-0002-5560-5926

Article Type

Article

Abstract

One of the most powerful tools in graph theory is the classification of graphs into distinct classes based on shared properties or structural features. Over time, many graph classes have been introduced, each aimed at capturing specific behaviors or characteristics of a graph. Neutrosophic Set Theory, a method for handling uncertainty, extends fuzzy logic by incorporating degrees of truth, indeterminacy, and falsity. Building on this framework, Neutrosophic Graphs [9, 84, 135] have emerged as significant generalizations of fuzzy graphs. In this paper, we extend several classes of fuzzy graphs to Neutrosophic graphs and analyze their properties.

Keywords

Neutrosophic graph, Fuzzy graph, Graph class, Neutrosophic set

How to Cite

Fujita, Takaaki and Smarandache, Florentin (2025) "A Reconsideration of Advanced Concepts in Neutrosophic Graphs: Smart, Zero Divisor, Layered, Weak, Semi, and Chemical Graphs," Neutrosophic Systems with Applications: Vol. 25: Iss. 2, Article 2. DOI: https://doi.org/10.61356/j.nswa.2025.25481