About this ebook
Hypergraphs generalize this framework by allowing hyperedges that connect more than two vertices. Superhypergraphs further enrich the model through iterated powerset constructions, capturing hierarchical and self-referential structures among hyperedges. An (đť‘š, đť‘›)-SuperHyperGraph is a mathematical structure in which each vertex corresponds to an (đť‘š, đť‘›)-superhyperfunction defined on a base set, while the hyperedges group such functions together to represent higher-order relationships and contextual connections. Systematic research on SuperHyperGraphs is still relatively limited compared with the extensive literature on graphs and hypergraphs.
To help bridge this gap, this book presents a survey of fundamental and advanced concepts related to SuperHy-perGraphs. Our aim is twofold: (i) to increase the visibility and accessibility of SuperHyperGraph theory and thereby stimulate further research, and (ii) to deepen the mathematical understanding of their structures among researchers and practitioners who work with graph- and hypergraph-based models.
Hypergraphs generalize this framework by allowing hyperedges that connect more than two vertices. Superhypergraphs further enrich the model through iterated powerset constructions, capturing hierarchical and self-referential structures among hyperedges. An (đť‘š, đť‘›)-SuperHyperGraph is a mathematic...
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