Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975638 | Physica A: Statistical Mechanics and its Applications | 2007 | 10 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Matías Graña, Juan Pablo Pinasco,