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A Unified Hypergraph- and SuperHyperGraph-Based Framework for Food Web Extension: From Classical Food Webs to SuperHyperWebs in Ecological Systems

A Unified Hypergraph- and SuperHyperGraph-Based Framework for Food Web Extension: From Classical Food Webs to SuperHyperWebs in Ecological Systems

This is a Preprint and has not been peer reviewed. This is version 1 of this Preprint.

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Authors

Takaaki Fujita 

Abstract

Hypergraphs generalize graphs by allowing hyperedges to join any number of vertices, while superhypergraphs
further extend this idea by layering iterated powersets to capture hierarchical, self-referential connections.
A food web models an ecosystem as a directed graph whose nodes are species and whose edges represent
predator–prey interactions. In this paper, we introduce two novel extensions of classical food webs: the Food
HyperWeb, which encodes each predator’s entire prey set as a hyperedge, and the Food

DOI

https://doi.org/10.32942/X29S6M

Subjects

Applied Mathematics, Food Science, Life Sciences, Mathematics, Physical Sciences and Mathematics

Keywords

Graph, HyperGraph, SuperHyperGraph, food web

Dates

Published: 2025-07-01 12:21

Last Updated: 2025-07-01 12:21

License

CC BY Attribution 4.0 International

Additional Metadata

Conflict of interest statement:
None

Data and Code Availability Statement:
Not applicable

Language:
English