Spectral hypergraph theory studies the qualitative properties of a hypergraph that can be inferred from the eigenvalues and the eigenvectors of either square matrices or tensors associated with it. It generalizes the spectral theory of graphs, which has a long history and is widely used in applications.
Research topics in this area include, but are not limited to:
Spectra of given hypergraphs
Relations between the spectra of hypergraphs and their structural properties
Eigenvalue bounds
Spectral classes
Algorithmic aspects
Applications to dynamical systems and applications to data analysis of empirical networks (e.g. biological and chemical networks)
