Small-world networks on a sphere

Gilberto Corso () and Claudia P. Torres Cruz
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Gilberto Corso: Departamento de Biofísica e Farmacologia, Centro de Biociências, Universidade Federal do Rio Grande do Norte – UFRN
Claudia P. Torres Cruz: Escola de Engenharia e Ciências Exatas, Universidade Potiguar

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 1, 1-4

Abstract: Abstract The Small-World Network on a Sphere SWNS is a non-crossing network that has no hubs and presents the small-world property diam ~ log N with diam being the maximal distance between any two vertices and N being the number of vertices. The SWNS is constructed using a partition of the sphere and the parallels are regular sections of the sphere with constant latitude. The number of cells on the parallels, however, increases exponentially from the pole to the equator of the sphere. We analytically compute the distribution of connectivity, the clustering coefficient and the SWNS distances. The resilience of the model against selective attacks is also discussed.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2016-70415-9

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