Interval Graphs and Proper Interval Graphs in Fuzzy and Neutrosophic Graphs

Abstract

Interval graphs represent vertices as intervals on the real line, with edges denoting overlapping intervals, while proper interval graphs prevent one interval from being fully contained within another. This paper explores interval and proper interval graphs within the frameworks of fuzzy, neutrosophic, and Turiyam Neutrosophic graphs. We examine how these types of graphs can represent relationships involving uncertainty and imprecision, focusing on their properties and relationships.