Discrete scale invariance in scale free graphs

Matías Graña and Juan Pablo Pinasco

Physica A: Statistical Mechanics and its Applications, 2007, vol. 380, issue C, 601-610

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. These 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: Scale free graphs; Discrete scale invariance; Log periodic oscillations (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:380:y:2007:i:c:p:601-610

DOI: 10.1016/j.physa.2007.02.047

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