Hypergraph models for complex discrete systems

Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. Theyarise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoreticalunderstanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs.This project will answer many fundamental questions about large, random hypergraphs, to close this gap. As wellas obtaining these answers, expected outcomes of the project include new tools for working with hypergraphs,such as efficient algorithms for sampling hypergraphs. These outcomes will benefit researchers who usehypergraphs in their work and will enhance Australia's reputation for research in this area.