Relations between average distance, heterogeneity and network synchronizability

Ming Zhao, Tao Zhou, Bing-Hong Wang, Gang Yan, Hui-Jie Yang and Wen-Jie Bai

Physica A: Statistical Mechanics and its Applications, 2006, vol. 371, issue 2, 773-780

Abstract: By using the random interchanging algorithm, we investigate the relations between average distance, standard deviation of degree distribution and synchronizability of complex networks. We find that both increasing the average distance and magnifying the degree deviation will make the network synchronize harder. Only the combination of short average distance and small standard deviation of degree distribution ensures strong synchronizability. Some previous studies assert that the maximal betweenness is the right quantity to estimate network synchronizability: the larger the maximal betweenness, the poorer the network synchronizability. Here we address an interesting case, which strongly suggests that the single quantity, maximal betweenness, may not give a comprehensive description of network synchronizability.

Keywords: Synchronizability; Complex networks; Average distance; Heterogeneity (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:371:y:2006:i:2:p:773-780

DOI: 10.1016/j.physa.2006.03.041

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