Topological properties of scale-free networks driven by a graph Hamiltonian
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
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