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cond-mat.stat-mech2005
k-core organization of complex networks
S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes
We analytically describe the architecture of randomly damaged uncorrelated networks as a set of successively enclosed substructures -- k-cores. The k-core is the largest subgraph w…
cond-mat.stat-mech2005
Correlations in interacting systems with a network topology
S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes
We study pair correlations in cooperative systems placed on complex networks. We show that usually in these systems, the correlations between two interacting objects (e.g., spins),…