Network growth and the spectral evolution model

This source preferred by Damien Fay

Authors: Fay, D., Kunegis, J. and Bauckhage, C.

Start date: 26 October 2010

Journal: Proceedings of the 19th ACM international conference on Information and knowledge management

Pages: 739-748

Abstract We introduce and study the spectral evolution model, which characterizes the growth of large networks in terms of the eigenvalue decomposition of their adjacency matrices: In large networks, changes over time result in a change of a graph's spectrum, leaving the eigenvectors unchanged. We validate this hypothesis for several large social, collaboration, authorship, rating, citation, communication and tagging networks, covering unipartite, bipartite, signed and unsigned graphs. Following these observations, we ...

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