An Overview of Neutrosophic Graphs

Abstract

A new area of study called "neutrosophic graph theory" uses neutrosophic logic to expand on 
traditional graph theory to include ambiguous, indeterminate, and uncertain information. This paper 
gives a thorough introduction to neutrosophic graphs, including their definition, components, uses, 
and difficulties. Neutrosophic graphs let you show and analyze relationships that aren't clear-cut 
because they give vertices and edges different levels of truth, indeterminacy, and falsity. Image 
processing, social network analysis, pattern recognition, and decision-making in the face of uncertainty 
all use neutrosophic graphs. However, we still need to resolve issues like interpretability and 
computational complexity. All things considered, neutrosophic graphs provide a viable framework for 
representing and evaluating ambiguous information in graph structures, with potential applications 
in a variety of fields.

DOI: 10.5281/zenodo.14176341