How β-skeletons lose their edges

  • Authors:
  • Andrew Adamatzky

  • Affiliations:
  • -

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2014

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Abstract

A @b-skeleton is a proximity graphs with node neighbourhood defined by continuous-valued parameter @b. Two nodes in a @b-skeleton are connected by an edge if their lune-based neighbourhood contains no other nodes. With increase of @b some edges a skeleton are disappear. We study how a number of edges in @b-skeleton depends on @b. We speculate how this dependence can be used to discriminate between random and non-random planar sets. We also analyse stability of @b-skeletons and their sensitivity to perturbations.