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Power-Laws Exponents of the Domestic AS-level Internet Topology based on the Valley-free BGP Routing Policy  

Kang, Koo-Hong (서원대학교 정보통신공학과)
Publication Information
Journal of Internet Computing and Services / v.11, no.4, 2010 , pp. 41-49 More about this Journal
Abstract
Faloustsos et al.[1,2] showed successfully that the power-laws describe the heavy-tailed distributions of the AS level Internet topology properties such as node degree. This result allows us to represent the characteristics of AS-level Internet topology using some power-law exponents with elegant and simple. In this paper, we obtained the power-law exponents of the domestic AS-level Internet topology properties - the node degree, the number of pairs within hops, and eigenvalues of the graph - based on the valley-free BGP routing policy. We used the real data sets from UCLA IRL laboratory, and showed that these power-laws fit the real data pretty well resulting in correlation coefficient of 90.7%, 96.5%, and 97%, respectively. In particular, rounding the effective diameter to three, approximately 91% of the pairs of nodes are within this distance; that is, we might conclude our topology is pretty well organized.
Keywords
AS-level Internet Topology; Power-law Exponent; BGP;
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