Skeleton and fractal scaling in complex networks

Details Skeleton and fractal scaling in complex networks Skeleton and fractal scaling in complex networks

2005-08-13

arxiv.org/abs/cond-mat/0508332v2

Phys. Rev. Lett. 96, 018701 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, final version published in PRL

Scientific paper

10.1103/PhysRevLett.96.018701

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.

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