8 papers
Normalized Laplace Operators for Hypergraphs with Real Coefficients
Jürgen Jost, Raffaella Mulas
Chemical hypergraphs and their associated normalized Laplace operators are generalized and studied in the case where each vertex--hyperedge incidence has a real coefficient. We sys…
Spectral classes of hypergraphs
Raffaella Mulas
The notions of spectral measures and spectral classes, which are well known for graphs, are generalized and investigated for oriented hypergraphs.
A Survey on Wild Mathematics
Raffaella Mulas
We usually construct mathematical objects that are accessible, on which we can put our hands, but a huge part of the mathematical existing is actually wild. Here we explore part of…
Spectral Theory of Laplace Operators on Oriented Hypergraphs
Raffaella Mulas, Dong Zhang
Several new spectral properties of the normalized Laplacian defined for oriented hypergraphs are shown. The eigenvalue and the case of duplicate vertices are discussed; two Cou…
Coupled Dynamics on Hypergraphs: Master Stability of Steady States and Synchronization
Raffaella Mulas, Christian Kuehn, Jürgen Jost
In the study of dynamical systems on networks/graphs, a key theme is how the network topology influences stability for steady states or synchronized states. Ideally, one would like…
Spectral gap of the largest eigenvalue of the normalized graph Laplacian
Jürgen Jost, Raffaella Mulas, Florentin Münch
We offer a new method for proving that the maximal eigenvalue of the normalized graph Laplacian of a graph with vertices is at least provided the graph is not…