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A topological analysis of a geographical model for internet

doi: 10.6062/jcis.2009.01.02.0016(Free PDF)

Authors

Andre Franceschi de Angelis, Gonzalo Travieso, Carlos Antonio Ruggiero and Luciano da Fontoura Costa

Abstract

This paper presents the analysis of a complex networks model of Internet connectivity named "Geometric Growing Model with n Redundant Edges" (GGM-RE-n). This approach models the growth of Internet while taking into account the physical position of the nodes. The node degree distribution and average radius are investigated for different configurations of the networks. The results provide insights about the progressive evolution of the networks as new edges are added, as well as about the effect of the locality factor over the degree distribution and average radius.

Keywords

Internet, complex networks.

References

[1] DE ANGELIS AF, COSTA LF, TRAVIESO G & RUGGIERO CA. 2008. International Journal of Modern Physics C, 19(6): 1-7.

[2] NEWMAN MEJ. 2003. SIAM Review, 45: 167. doi:10.1137/S003614450342480

[3] COSTA LF, TRAVIESO G & RUGGIERO CA. 2005. Eur. Phys. Journal B, pp. 119-128. 10.1140/epjb/e2005-00107-6

[4] BARABASI A-L & ALBERT R. 1997. Science, 286: 509.

[5] SCILAB. The open source platform for numerical computation. .

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