Titlebook: Complex Networks; Eli Ben-Naim,Hans Frauenfelder,Zoltan Toroczkai Book 2004 Springer-Verlag Berlin Heidelberg 2004 biological networks.com

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Tomography and Stability of Complex Networks,the phase transition and show that the critical exponents are influenced by the scale free nature of the network. We show that the critical exponent for the infinite cluster size behaves as ., and the exponent for the finite clusters size distribution behaves as ., for .. For . the exponents are .=1

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,Classes of the Shortest Pathway Structures in?Scale Free Networks,ribution of diameter change by the removal of a single vertex. Finally, we remark that since the two numerical values of the load exponent are too close, it still remains an open question if they are really robust. Analytic solution resolving this controversial issue is needed.

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Scholarly Information Network,large online corpus of academic literature. An emerging field of research can be identified as part of an existing corpus, permitting the implementation of a more coherent community structure for its network of practitioners.

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https://doi.org/10.1007/978-1-4614-3743-7ribution of diameter change by the removal of a single vertex. Finally, we remark that since the two numerical values of the load exponent are too close, it still remains an open question if they are really robust. Analytic solution resolving this controversial issue is needed.

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Stability in the US Financial Systemlarge online corpus of academic literature. An emerging field of research can be identified as part of an existing corpus, permitting the implementation of a more coherent community structure for its network of practitioners.

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Tomography and Stability of Complex Networks,kdown of nodes and intentional attack on the most highly connected nodes. We focus on scale free networks, where ., for .<.<.. We first examine the “Tomography” of these networks, i.e. the structure of layers around a network node. It is shown that the distance distribution of all nodes from the max

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Spectral Analysis of Random Networks,spectra of networks with a local tree-like structure, are presented. The tail of the density of eigenvalues . at large . is related to the behavior of the vertex degree distribution for large value of degree. In particular, as ., .. Under an effective medium approximation we propose a simple approxi

indubitable

,A Tractable Complex Network Model Based on?the Stochastic Mean-Field Model of Distance,ive features: power-law degree distributions, local clustering, and slowly-growing diameter. We point out a new (in this context) platform for such models – the stochastic mean-field model of distances – and within this platform study a simple two-parameter proportional attachment (or copying) model

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