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Evolution of networks
We review the recent rapid progress in the statistical physics of evolving networks. Interest has focused mainly on the structural properties of complex networks in communications, biology, socialExpand
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Evolution of Networks: From Biological Nets to the Internet and WWW (Physics)
TLDR
This book is written by physicists and is addressed to all involved researchers and students.Only recently did mankind realise that it resides in a world of networks, natural and artificial. Expand
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Critical phenomena in complex networks
TLDR
The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. Expand
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Structure of growing networks with preferential linking.
The model of growing networks with the preferential attachment of new links is generalized to include initial attractiveness of sites. We find the exact form of the stationary distribution of theExpand
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Pseudofractal scale-free web.
We find that scale-free random networks are excellently modeled by simple deterministic graphs. Our graph has a discrete degree distribution (degree is the number of connections of a vertex), whichExpand
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Localization and Spreading of Diseases in Complex Networks
TLDR
Using the susceptible-infected-susceptible model on unweighted and weighted networks, we consider the disease localization phenomenon, where hubs and edges with large weights are centers of localization. Expand
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Spectra of complex networks.
We propose a general approach to the description of spectra of complex networks. For the spectra of networks with uncorrelated vertices (and a local treelike structure), exact equations are derived.Expand
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Language as an evolving word web
TLDR
We propose a theory of the evolution of language, which treats language as a self–organizing network of interacting words. Expand
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K-core Organization of Complex Networks
TLDR
We analytically describe the architecture of randomly damaged uncorrelated networks as a set of successively enclosed substructures--k-cores, which are ultrarobust against random damage. Expand
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Scaling properties of scale-free evolving networks: continuous approach.
The scaling behavior of scale-free evolving networks, arising in areas such as communications, scientific citations, collaborations, etc., is studied. We derive universal scaling relations describingExpand
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