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Density of Local Maxima of the Distance Function to a Set of Points in the Plane

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Abstract

We show that the set of local maxima of the distance function to a set of points P in the plane, given certain density and packing restrictions, is also dense.

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Correspondence to Erin Wolf Chambers .

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© 2018 The Author(s) and the Association for Women in Mathematics

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Amenta, N., Chambers, E.W., Emerson, T., Glover, R., Turner, K., Yap, S. (2018). Density of Local Maxima of the Distance Function to a Set of Points in the Plane. In: Chambers, E., Fasy, B., Ziegelmeier, L. (eds) Research in Computational Topology. Association for Women in Mathematics Series, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-319-89593-2_7

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