Small-world networks on a sphere View Full Text


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Article Info

DATE

2017-01-11

AUTHORS

Gilberto Corso, Claudia P. Torres Cruz

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. More... »

PAGES

4

References to SciGraph publications

  • 2014-10-24. Vulnerability of network of networks in THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS
  • 1998-06. Collective dynamics of ‘small-world’ networks in NATURE
  • 1999-09. Diameter of the World-Wide Web in NATURE
  • 2016-05-12. Topologic distance in the Lucena network in THE EUROPEAN PHYSICAL JOURNAL B
  • 2013-12-13. The simplicity of planar networks in SCIENTIFIC REPORTS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjb/e2016-70415-9

    DOI

    http://dx.doi.org/10.1140/epjb/e2016-70415-9

    DIMENSIONS

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