Searching good indicators for predicting the synchronizability of heterogeneous networks and beyond

• Published in: Europhysics letters Vol. 84; no. 5; pp. 50003 - 50003(6)
• Main Authors: Chen, L, Huang, H. B, Qi, G. X, Luo, P, Qiu, C, Zhao, X. D, Wang, Y
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.12.2008; EDP Sciences
• Subjects: 05.45.Xt; 89.75.Hc
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/0295-5075/84/50003

In searching the indicators of synchronizability of complex networks, the maximal betweenness centrality is usually proposed as a good indicator. However, we find that a better indicator for synchronizability in heterogeneous networks is the maximal degree from both the average results and the individual realization of a network, which usually makes more sense in practice. Both the largest eigenvalue and the eigenratio are found, in a wide range of heterogeneity, to hold linear relations with the maximal degree. Our results may provide some clues to mathematically solve the relation between the synchronizability and the network degree, also to the optimal strategies to enhance synchronization.