Neutrosophic Circular-arc Graphs and Proper circular-arc graphs

Abstract

 Graph theory is a fundamental branch of mathematics that studies networks made up of nodes
 (vertices) and connections (edges). A key concept in graph theory is the intersection graph, where vertices
 represent sets, and edges are drawn between vertices if their corresponding sets intersect. A circular-arc graph
 specifically models the intersections of arcs on a circle, with vertices corresponding to the arcs and edges existing
 between intersecting arcs. This paper delves into the study of circular-arc graphs within the frameworks of fuzzy,
 intuitionistic fuzzy, neutrosophic, and Turiyam Neutrosophic graphs, all of which incorporate uncertainty into
 graph structures. Additionally, we examine the concept of proper circular-arc graphs

DOI: 10.5281/zenodo.14230836