| Issue |
EPL
Volume 93, Number 3, February 2011
|
|
|---|---|---|
| Article Number | 38001 | |
| Number of page(s) | 5 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/93/38001 | |
| Published online | 14 February 2011 | |
Topological properties of scale-free networks driven by a graph Hamiltonian
1
Department of Physics and Research Institute for Basic Sciences, Kyung Hee University - Seoul 130-701, Korea
2
Department of Physics, Kyung Hee University - Seoul 130-701, Korea
a
syook@khu.ac.kr
b
perturbation@gmail.com
Received:
27
July
2010
Accepted:
18
January
2011
We numerically study an equilibrium network model, generated via a graph Hamiltonian, that exhibits a power-law degree distribution P(k)∼k− γ with γ≈1.5 in the thermodynamic limit. While the degree exponent, γ, is equal to the one found in the Merging-Creation (MC) model, we find that the detailed topological properties such as degree-degree correlation and the modular structure differ significantly. We discuss the possible origin of these differences.
PACS: 89.75.Da – Systems obeying scaling laws / 89.75.Hc – Networks and genealogical trees / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2011
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