Article ID Journal Published Year Pages File Type
975638 Physica A: Statistical Mechanics and its Applications 2007 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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