Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7376629 | Physica A: Statistical Mechanics and its Applications | 2018 | 16 Pages |
Abstract
A geometric entropy is defined in terms of the Riemannian volume of the parameter space of a statistical manifold associated with a given network. As such it can be a good candidate for measuring networks complexity. Here we investigate its ability to single out topological features of networks proceeding in a bottom-up manner: first we consider small size networks by analytical methods and then large size networks by numerical techniques. Two different classes of networks, the random graphs and the scale-free networks, are investigated computing their Betti numbers and then showing the capability of geometric entropy of detecting homologies.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Domenico Felice, Roberto Franzosi, Stefano Mancini, Marco Pettini,