Finite-Size Scaling in Complex Networks

2007/01/22 by Hyunsuk Hong, Meesoon Ha, Hyunggyu Park · 5 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Conjecture #Excitation #Exponent #Focus (optics) #Geometry #Ising model #Mathematics #Opinion Dynamics and Social Influence #Optics #Physics #Pure mathematics #Quantum mechanics #Scaling #Scaling law #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.98.258701

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

arxiv created 2007/01/22 · openalex publication_date 2007/06/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Synchronization transition in scale-free networks: Clusters of synchrony
• Epidemic Spreading in Scale-Free Networks
• Non-equilibrium critical phenomena and phase transitions into absorbing states

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