Classification of scale-free networks.
While the emergence of a power-law degree distribution in complex networks is intriguing, the degree exponent is not universal. Here we show that the between ness centrality displays a power-law distribution with an exponent eta, which is robust, and use it to classify the scale-free networks. We have observed two universality classes with eta approximately equal 2.2(1) and 2.0, respectively. Real-world networks for the former are the protein-interaction networks, the metabolic networks for eukaryotes and bacteria, and the coauthorship network, and those for the latter one are the Internet, the World Wide Web, and the metabolic networks for Archaea. Distinct features of the mass-distance relation, generic topology of geodesics, and resilience under attack of the two classes are identified. Various model networks also belong to either of the two classes, while their degree exponents are tunable.
Goh
Kwang-Il
KI
School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea.
Oh
Eulsik
E
Jeong
Hawoong
H
Kahng
Byungnam
B
Kim
Doochul
D
D001203:Ascomycota / Q000502:physiology; D005656:Fungal Proteins / Q000737:chemistry*; D020407:Internet; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D010825:Physics / Q000379:methods*; D011506:Proteins / Q000737:chemistry*; D012441:Saccharomyces cerevisiae / Q000502:physiology
D005656:Fungal Proteins; D011506:Proteins