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"

Cited by in corpus (8)

• Critical phenomena in complex networks
• Langevin approach for the dynamics of the contact process on annealed scale-free networks
• Percolation transition in networks with degree-degree correlation
• Random walks on the Apollonian network with a single trap
• Routes to thermodynamic limit on scale-free networks
• Finite-size scaling of synchronized oscillation on complex networks
• Broad edge of chaos in strongly heterogeneous Boolean networks
• Stochastic spreading processes on a network model based on regular graphs