Evolutionary reconstruction of networks

Mads Ipsen; Alexander S. Mikhailov

doi:10.1103/physreve.66.046109

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arXiv · nlin/0111023

Evolutionary reconstruction of networks

Mads Ipsen·Alexander S. Mikhailov

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Abstract

Can a graph specifying the pattern of connections of a dynamical network be reconstructed from statistical properties of a signal generated by such a system? In this model study, we present an evolutionary algorithm for reconstruction of graphs from their Laplacian spectra. Through a stochastic process of mutations and selection, evolving test networks converge to a reference graph. Applying the method to several examples of random graphs, clustered graphs, and small-world networks, we show that the proposed stochastic evolution allows exact reconstruction of relatively small networks and yields good approximations in the case of large sizes.

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Mads Ipsen, Alexander S. Mikhailov. 2001-11-09. Evolutionary reconstruction of networks. https://doi.org/10.1103/physreve.66.046109

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