Plithogenic Line Graph, Star Graph, and Regular Graph

Graph theory, a branch of mathematics, studies relationships between entities using vertices and edges. In this field, Uncertain Graph Theory has emerged to capture the uncertainties inherent in real-world networks. While Turiyam Neutrosophic and Plithogenic Graphs are established within uncertain graph theory, concepts such as Line Graphs, Star Graphs, and Regular Graphs have not been extensively explored in these frameworks. This paper seeks to fill this gap by introducing and developing the concepts of Line Graph, Star Graph, and Regular Graph specifically within the contexts of Turiyam Neutrosophic and Plithogenic Graphs.

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Publication Details

Journal
Plithogenic Logic and Computation
Published
2025-08-20
DOI
https://doi.org/10.61356/j.plc.2025.4580
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
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article

Plithogenic Line Graph, Star Graph, and Regular Graph

Takao Fujita
Plithogenic Logic and Computation
Advanced Graph Theory Research
article

Plithogenic Line Graph, Star Graph, and Regular Graph

Takao Fujita
article en

Abstract

Graph theory, a branch of mathematics, studies relationships between entities using vertices and edges. In this field, Uncertain Graph Theory has emerged to capture the uncertainties inherent in real-world networks. While Turiyam Neutrosophic and Plithogenic Graphs are established within uncertain graph theory, concepts such as Line Graphs, Star Graphs, and Regular Graphs have not been extensively explored in these frameworks. This paper seeks to fill this gap by introducing and developing the concepts of Line Graph, Star Graph, and Regular Graph specifically within the contexts of Turiyam Neutrosophic and Plithogenic Graphs.

Plithogenic Logic and ComputationVol. 4
Shinjuku College of Information Technology (JP)
Openalex Percentile: Top 77%
Advanced Graph Theory Research
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