Finite-size scaling in complex networks

Abstract

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.

References in corpus (2)

• Synchronization transition in scale-free networks: Clusters of synchrony
• Reply to the Comment on the paper "Non-mean-field behavior of the contact process on scale-free networks"

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