Finite-size scaling in complex networks

Details Finite-size scaling in complex networks Finite-size scaling in complex networks

2007-01-22

arxiv.org/abs/cond-mat/0701516v1

Phys. Rev. Lett. 98, 258701 (2007)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.98.258701

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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