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arXiv · 0706.0812

Spectral coarse-graining of complex networks

David Gfeller·Paolo De los Rios
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Abstract

Reducing the complexity of large systems described as complex networks is key to understand them and a crucial issue is to know which properties of the initial system are preserved in the reduced one. Here we use random walks to design a coarse-graining scheme for complex networks. By construction the coarse-graining preserves the slow modes of the walk, while reducing significantly the size and the complexity of the network. In this sense our coarse-graining allows to approximate large networks by smaller ones, keeping most of their relevant spectral properties.

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David Gfeller, Paolo De los Rios. 2007-06-06. Spectral coarse-graining of complex networks. https://doi.org/10.1103/physrevlett.99.038701

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