Spectral Scaling in Complex Networks
Statistical Mechanics
2013-04-02 v1 Physics and Society
Abstract
A complex network is said to show topological isotropy if the topological structure around a particular node looks the same in all directions of the whole network. Topologically anisotropic networks are those where the local neighborhood around a node is not reproduced at large scale for the whole network. The existence of topological isotropy is investigated by the existence of a power-law scaling between a local and a global topological characteristic of complex networks obtained from graph spectra. We investigate this structural characteristic of complex networks and its consequences for 32 real-world networks representing informational, technological, biological, social and ecological systems.
Cite
@article{arxiv.cond-mat/0505033,
title = {Spectral Scaling in Complex Networks},
author = {Ernesto Estrada},
journal= {arXiv preprint arXiv:cond-mat/0505033},
year = {2013}
}
Comments
9 pages, 3 figures