Skeleton and fractal scaling in complex networks.
We find that the fractal scaling in a class of scale-free networks originates from the underlying tree structure called a 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.
School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea.
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KI
Goh
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Salvi
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Kahng
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Kim
D004926:Escherichia coli / Q000737:chemistry; D017709:Fractals; D006801:Humans; D020407:Internet; D008962:Models, Theoretical; D011506:Proteins / Q000378:metabolism
D011506:Proteins