Level Graph of Turiyam Graphs: Concepts and Applications

Abstract

This study introduces and investigates the concept of the (α, β, γ, δ)-level graph for a Turiyam graph, a novel extension of fuzzy and neutrosophic graphs that incorporates a fourth independent membership degree representing the unknown or liberal component. We defined the (α, β, γ, δ)-level graph of a turiyam graph as a crisp graph derived by applying specific threshold values (α, β, γ, δ) to its vertex and edge membership values. In addition, we discuss its application in social networks. This study is supported by illustrative examples.