Abstract
Uncertain Graph Theory has emerged to model the uncertainties present in real-world networks. An Incidence Graph represents the connections between vertices and edges using incidence pairs to illustrate relationships. A Threshold Graph is defined by vertex weights and thresholds, forming cliques or independent sets. We explore the concepts of the Pentapartitioned Neutrosophic Incidence Graph, Turiyam Neutrosophic Incidence Graph, Pentapartitioned Neutrosophic Fuzzy Threshold Graph, and Turiyam Neutrosophic Fuzzy Threshold Graph.
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