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Discrete Scale Invariance in Scale Free Graphs

Matías Graña·Juan Pablo Pinasco
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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.

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Matías Graña, Juan Pablo Pinasco. 2006-02-14. Discrete Scale Invariance in Scale Free Graphs. https://doi.org/10.1016/j.physa.2007.02.047

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