Goh K-I, Salvi G, Kahng B, Kim D
School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea.
Phys Rev Lett. 2006 Jan 13;96(1):018701. doi: 10.1103/PhysRevLett.96.018701. Epub 2006 Jan 11.
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.
我们发现，一类无标度网络中的分形标度源自一种名为骨架的基础树结构，它是基于边介数中心性的一种特殊生成树。分形骨架具有临界分支树的性质。原始的分形网络可被视为带有局部捷径的分形骨架。还构建了一个兼具分形标度和尺度不变性性质的计算机模拟模型。分形网络框架有助于理解网络系统中的效用和冗余。
