[[IJCsatellite]]  [[IJCsatellite/nlin]]
 [[IJCsatellite]]  [[IJCsatellite/cond-mat]]
 
 http://arxiv.org/abs/cond-mat/0506236
 
 cond-mat/0506236
 
 From: Francesco Sorrentino Ing [view email]
 Date: Thu, 9 Jun 2005 18:16:03 GMT   (92kb)
 Synchronization of degree correlated physical networks
 
 Authors: Mario di Bernardo, Franco Garofalo, Francesco Sorrentino
 Comments: 5 pages, 3 figures
 Subj-class: Disordered Systems and Neural Networks
 We propose that negative degree correlation among nodes in a network of nonlinear oscillators, often detected in real world networks, is motivated by its positive effects on synchronizability. In so doing, we use a novel methodology to characterise degree correlation based on clustering the network vertices in p classes according to their degrees. Using this strategy we construct networks with an assigned power law distribution but changing degree correlation properties. We find that the network synchronizability improves when the network becomes dissassortative, i.e. when nodes with low degree are more likely to be connected to nodes with higher degree. Our numerical observations are confirmed by the analytical estimates found in this letter using an innovative approach based on the use of graph theoretical results.

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