77 citations · 956 across the 77 of their papers we have counts for
5 papers · 1 filter
Epidemic Outbreaks in Networks with Equitable or Almost-Equitable Partitions
Stefano Bonaccorsi, Stefania Ottaviano, Delio Mugnolo +1
We study the diffusion of epidemics on networks that are partitioned into local communities. The gross structure of hierarchical networks of this kind can be described by a quotien…
Time regularity and long-time behavior of parabolic -Laplace equations on infinite graphs
Bobo Hua, Delio Mugnolo
We consider the so-called \emph{discrete -Laplacian}, a nonlinear difference operator that acts on functions defined on the nodes of a possibly infinite graph. We study the asso…
A new Gershgorin-type result for the localisation of the spectrum of matrices
Anna Dall'Acqua, Delio Mugnolo, Michael Schelling
We present a Gershgorin's type result on the localisation of the spectrum of a matrix. Our method is elementary and relies upon the method of Schur complements, furthermore it outp…
Laplacians on quantum hypergraphs
Delio Mugnolo
We introduce quantum hypergraphs, in analogy with the theory of quantum graphs developed over the last 15 years by many authors. We emphasize some problems that arise when one trie…
Some remarks on the Krein--von Neumann extension of different Laplacians
Delio Mugnolo
We discuss the Krein--von Neumann extensions of three Laplacian-type operators -- on discrete graphs, quantum graphs, and domains. In passing we present a class of one-dimensional…