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Finite-size scaling in complex networks

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arxiv cond-mat/0701516 v1 pith:2ZORCT3T submitted 2007-01-22 cond-mat.stat-mech

Finite-size scaling in complex networks

classification cond-mat.stat-mech
keywords complexfinite-sizemodelnetworksnumericalanalyzingargumentconfirmed
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A finite-size-scaling (FSS) theory is proposed for various models in complex networks. In particular, we focus on the FSS exponent, which plays a crucial role in analyzing numerical data for finite-size systems. Based on the droplet-excitation (hyperscaling) argument, we conjecture the values of the FSS exponents for the Ising model, the susceptible-infected-susceptible model, and the contact process, all of which are confirmed reasonably well in numerical simulations.

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