Discrete Scale Invariance in Scale Free Graphs
Disordered Systems and Neural Networks
2016-08-16 v1
Abstract
In this work we introduce an energy function in order to study finite scale free graphs generated with different models. The energy distribution has a fractal pattern and presents log periodic oscillations for high energies. This oscillations are related to a discrete scale invariance of certain graphs, that is, there are preferred scaling ratios suggesting a hierarchical distribution of node degrees. On the other hand, small energies correspond to graphs with evenly distributed degrees.
Keywords
Cite
@article{arxiv.cond-mat/0602337,
title = {Discrete Scale Invariance in Scale Free Graphs},
author = {Matías Graña and Juan Pablo Pinasco},
journal= {arXiv preprint arXiv:cond-mat/0602337},
year = {2016}
}
Comments
13 pages, 12 figures