August 19, 2025Open Access

Some Graph Structures in Fuzzy, Neutrosophic, and Plithogenic Graphs

Puntos clave

Range Labeling is crucial for understanding complex graph behaviors, facilitating various applications.
The study identifies key relationships between cycle connectivity and structural properties in fuzzy graphs.
Analysis employed concepts like Median Graph and Product Graph, extending traditional graph theory techniques.
The findings highlight the need for advanced models like Turiyam neutrosophic graphs to capture real-world uncertainties.

Resumen

In order to address the uncertainties inherent in real-world systems, various uncertain graph models such as Fuzzy Graphs, Neutrosophic Graphs, Turiyam Neutrosophic Graphs, and Plithogenic Graphs have been studied extensively. Similar to classical graph theory, a wide range of graph classes and parameters have also been examined in these frameworks, with applications in system operations, engineering, and beyond. In this paper, we introduce and analyze concepts such as Range Labeling, Cycle Connectivity, Linear Forest, Product Graph, Median Graph, and the Hyper-Zagreb Index within the contexts of Fuzzy, Neutrosophic, and Turiyam Neutrosophic Graphs.

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Cite This Study

Takao Fujita (Tue,) studied this question.

synapsesocial.com/papers/68af5bbcad7bf08b1eadf82d https://doi.org/https://doi.org/10.61356/j.nois.2025.7581