Former Research Group - Minerva Group
Spectral Hypergraph Theory
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)
