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Enhancing the synchronizability of scale-free networks by adding edges
Umeå University, Faculty of Science and Technology, Department of Physics.
2010 (English)In: International Journal of Modern Physics C, ISSN 0129-1831, Vol. 21, no 1, 67-77 p.Article in journal (Refereed) Published
Abstract [en]

To efficiently enhance the synchronizability of a scale-free network by adding some edges, we numerically study the effect of edge-adding on the spectrum of the network Laplacian matrix. Based on the relation between the largest eigenvalue of the Laplacian matrix and the largest degree of the scale-free network, we show that adding a new edge to the node of largest degree will generally weaken the synchronizability of a scale-free network. We consequently propose a method to effectively enhance the network synchronizability by attaching the new edge to a node whose nearest-neighbors have small degrees. The effect of the new method is analyzed and demonstrated with comparisons.

Place, publisher, year, edition, pages
2010. Vol. 21, no 1, 67-77 p.
Keyword [en]
network synchronizability, scale-free network, master stable function
Identifiers
URN: urn:nbn:se:umu:diva-38702DOI: 10.1142/S0129183110014951ISI: 000274267700005OAI: oai:DiVA.org:umu-38702DiVA: diva2:380675
Available from: 2010-12-22 Created: 2010-12-22 Last updated: 2017-12-11Bibliographically approved

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