Scaling relation for earthquake networks

Abstract

The scaling relation derived by Dorogovtsev, Goltsev, Mendes and Samukhin [Phys. Rev. E, 68 (2003) 046109] states that the exponents of the power-law connectivity distribution, gamma, and the power-law eigenvalue distribution of the adjacency matrix, delta, of a locally treelike scale-free network satisfy 2*gamma - delta = 1 in the mean field approximation. Here, it is shown that this relation holds well for the reduced simple earthquake networks (without tadpole-loops and multiple edges) constructed from the seismic data taken from California and Japan. The result is interpreted from the viewpoint of the hierarchical organization of the earthquake networks.

14 pages, 3 figures, 1 table

References in corpus (5)

• Emergence of scaling in random networks
• Problems with Fitting to the Power-Law Distribution
• Spectra of complex networks
• Small-world structure of earthquake network
• Complex earthquake networks: Hierarchical organization and assortative mixing

Cited by in corpus (5)

• Finite data-size scaling of clustering in earthquake networks
• Determination of the scale of coarse graining in earthquake network
• Network similarity and statistical analysis of earthquake seismic data
• Aftershocks in Modern Perspectives: Complex Earthquake Network, Aging, and Non-Markovianity
• Scale-free and small-world properties of earthquake network in Chile