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Discrete Scale Invariance in Scale Free Graphs

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.

preprint2006arXivOpen access
Matías GrañaJuan Pablo Pinasco
cond-mat.dis-nn
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Open access2 authors1 topic
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Matías GrañaJuan Pablo Pinasco

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