A Concise Study of Some Superhypergraph classes

Abstract

In graph theory, the hypergraph [22] extends the traditional graph structure by allowing edges to
connect multiple vertices, and this concept is further broadened by the superhypergraph [174,176]. Additionally,
several types of uncertain graphs have been explored, including fuzzy graphs [136, 153], neutrosophic graphs
[35, 36], and plithogenic graphs [66, 75, 185].
This study explores the SuperHyperGraph, Single-Valued Neutrosophic Quasi SuperHyperGraph, and
Plithogenic Quasi SuperHyperGraph, analyzing their relationships with other graph classes. Future work will
define the Semi Superhypergraph, Multi Superhypergraph, Pseudo Superhypergraph, Mixed Superhypergraph,
and Bidirected Superhypergraph and examine their connections to existing classes in hypergraphs and graphs.

DOI: 10.5281/zenodo.14194711