Beta-Skeletons have Unbounded Dilation

Details Beta-Skeletons have Unbounded Dilation Beta-Skeletons have Unbounded Dilation

1999-07-20

arxiv.org/abs/cs/9907031v1

Computational Geometry Theory & Appl. 23:43-52, 2002

Computer Science

Computational Geometry

8 pages, 9 figures

Scientific paper

10.1016/S0925-7721(01)00055-4

A fractal construction shows that, for any beta>0, the beta-skeleton of a
point set can have arbitrarily large dilation. In particular this applies to
the Gabriel graph.

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