Beta-Skeletons have Unbounded Dilation
<|reference_start|>Beta-Skeletons have Unbounded Dilation: 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.<|reference_end|>
@article{eppstein1999beta-skeletons,
    title={Beta-Skeletons have Unbounded Dilation},
    author={David Eppstein},
    journal={Computational Geometry Theory & Appl. 23:43-52, 2002},
    year={1999},
    doi={10.1016/S0925-7721(01)00055-4},
    archivePrefix={arXiv},
    eprint={cs/9907031},
    primaryClass={cs.CG math.MG}
}