Finite-size scaling in complex networks

Hyunsuk Hong; Meesoon Ha; Hyunggyu Park

doi:10.1103/PhysRevLett.98.258701

Finite-size scaling in complex networks

Hyunsuk Hong^*
, Meesoon Ha
, Hyunggyu Park

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

105 Scopus citations

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.

Original language	English
Article number	258701
Journal	Physical Review Letters
Volume	98
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.98.258701
State	Published - 2007.06.20

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Physics & Astronomy

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10.1103/PhysRevLett.98.258701

Cite this

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title = "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.",

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AU - Hong, Hyunsuk

AU - Ha, Meesoon

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/34547345211

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M3 - Journal article

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JO - Physical Review Letters

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ER -

Finite-size scaling in complex networks

Abstract

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