LIPIcs.SoCG.2016.59.pdf
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Weak 1/r-Nets for Moving Points
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32nd International Symposium on Computational Geometry (SoCG 2016)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Symposium on Computational Geometry (SoCG) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2016-06-10
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Alexandre Rok and Shakhar Smorodinsky. Weak 1/r-Nets for Moving Points. In 32nd International Symposium on Computational Geometry (SoCG 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 51, pp. 59:1-59:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)
https://doi.org/10.4230/LIPIcs.SoCG.2016.59
https://doi.org/10.4230/LIPIcs.SoCG.2016.59
Abstract
In this paper, we extend the weak 1/r-net theorem to a kinetic setting where the underlying set of points is moving polynomially with bounded description complexity. We establish that one can find a kinetic analog N of a weak 1/r-net of cardinality O(r^(d(d+1)/2)log^d r) whose points are moving with coordinates that are rational functions with bounded description complexity. Moreover, each member of N has one polynomial coordinate.
Keywords
- Hypergraphs
- Weak epsilon-net
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References
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