5 papers · 1 filter
Markov and lattice bases for Forman-Ricci curvature of graphs
Jane Ivy Coons, Giulio Zucal
Discrete Forman-Ricci curvature is a quantity associated to each edge of a graph that describes its local geometry. It has proven to be a useful tool in network analysis in a varie…
Spectral theory of dense hypergraph limits
Ágnes Backhausz, Christian Kuehn, Sjoerd van der Niet +2
In this work, we develop a spectral theory for hypergraph limits. We prove the convergence of the spectra of adjacency and Laplacian matrices for hypergraph sequences converging in…
Action convergence of general hypergraphs and tensors
Giulio Zucal
Action convergence provides a limit theory for linear bounded operators where are potentially different probability spaces. This…
There is no going back: Properties of the non-backtracking Laplacian
Raffaella Mulas, Dong Zhang, Giulio Zucal
We prove new properties of the non-backtracking graph and the non-backtracking Laplacian for graphs. In particular, among other results, we prove that two simple graphs are isomorp…
A measure-theoretic representation of graphs
Raffaella Mulas, Giulio Zucal
Inspired by the notion of action convergence in graph limit theory, we introduce a measure-theoretic representation of matrices, and we use it to define a new notion of pseudo-metr…