364 citations · 576 across the 22 of their papers we have counts for
5 papers · 1 filter
Nonlocal network dynamics via fractional graph Laplacians
Michele Benzi, Daniele Bertaccini, Fabio Durastante +1
We introduce nonlocal dynamics on directed networks through the construction of a fractional version of a nonsymmetric Laplacian for weighted directed graphs. Furthermore, we provi…
Core-satellite Graphs. Clustering, Assortativity and Spectral Properties
Ernesto Estrada, Michele Benzi
Core-satellite graphs (sometimes referred to as generalized friendship graphs) are an interesting class of graphs that generalize many well known types of graphs. In this paper we…
Edge modification criteria for enhancing the communicability of digraphs
Francesca Arrigo, Michele Benzi
We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we d…
Updating and downdating techniques for optimizing network communicability
Francesca Arrigo, Michele Benzi
The total communicability of a network (or graph) is defined as the sum of the entries in the exponential of the adjacency matrix of the network, possibly normalized by the number…
Total communicability as a centrality measure
Michele Benzi, Christine Klymko
We examine a node centrality measure based on the notion of total communicability, defined in terms of the row sums of the exponential of the adjacency matrix of the network. We ar…