General, General Weak, Anti, Balanced, and Semi-Neutrosophic Graph

Abstract

Graph classes categorize graphs based on shared properties or structures, and numerous such classes
 have been proposed over time. In 1965, Zadeh [43] introduced a framework for managing uncertainty, which later
 inspired Rosenfeld [28,31] to develop fuzzy graph theory in 1975. A Neutrosophic Graph, as a generalization
 of a Fuzzy Graph, associates each vertex and edge with three membership values representing truth, indeter
minacy, and falsity. This allows Neutrosophic Graphs to handle uncertain, vague, or contradictory information
 more effectively. This paper aims to expand the study of Neutrosophic Graphs by proposing new graph classes,
 specifically the General-Neutrosophic Graph, Anti-Neutrosophic Graph, *-Balanced-Neutrosophic Graph, and
 Semi-Neutrosophic Graph.

DOI: 10.5281/zenodo.15294849