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Beta-skeleton loses its edges

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Published on Aug 11, 2013

This is how beta-skeleton changes with increase of beta.

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

See details here

Adamatzky A. How β-skeletons lose their edges. Information Sciences (2013).
http://www.sciencedirect.com/science/...

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