20 citations · 20 across the 3 of their papers we have counts for
6 papers
Network synchronization: Optimal and Pessimal Scale-Free Topologies
Luca Donetti, Pablo I. Hurtado, Miguel A. Munoz
By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We expl…
Synchronization in Network Structures: Entangled Topology as Optimal Architecture for Network Design
Luca Donetti, Pablo I. Hurtado, Miguel A. Munoz
In these notes we study synchronizability of dynamical processes defined on complex networks as well as its interplay with network topology. Building from a recent work by Barahona…
Improved spectral algorithm for the detection of network communities
L. Donetti, M. A. Munoz
We review and improve a recently introduced method for the detection of communities in complex networks. This method combines spectral properties of some matrices encoding the netw…
Entangled networks, synchronization, and optimal network topology
Luca Donetti, Pablo I. Hurtado, Miguel A. Munoz
A new family of graphs, {\it entangled networks}, with optimal properties in many respects, is introduced. By definition, their topology is such that optimizes synchronizability fo…
The statistical geometry of scale-free random trees
Luca Donetti, Claudio Destri
The properties of scale-free random trees are investigated using both preconditioning on non-extinction and fixed size averages, in order to study the thermodynamic limit. The scal…
Recurrence on the average on trees
L. Donetti
In this paper we show that all infinite trees which have bounded coordination and whose surface is negligible with respect to the volume in the limit of large distances (so that th…