Skeleton and fractal scaling in complex networks
Statistical Mechanics
2009-11-11 v2
Abstract
We find that the fractal scaling in a class of scale-free networks originates from the underlying tree structure called skeleton, a special type of spanning tree based on the edge betweenness centrality. The fractal skeleton has the property of the critical branching tree. The original fractal networks are viewed as a fractal skeleton dressed with local shortcuts. An in-silico model with both the fractal scaling and the scale-invariance properties is also constructed. The framework of fractal networks is useful in understanding the utility and the redundancy in networked systems.
Cite
@article{arxiv.cond-mat/0508332,
title = {Skeleton and fractal scaling in complex networks},
author = {K. -I. Goh and G. Salvi and B. Kahng and D. Kim},
journal= {arXiv preprint arXiv:cond-mat/0508332},
year = {2009}
}
Comments
4 pages, 2 figures, final version published in PRL