Discrete Scale Invariance in Scale Free Graphs
arXiv:cond-mat/0602337 · doi:10.1016/j.physa.2007.02.047
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.
13 pages, 12 figures
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