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Blocking Delaunay triangulations.
Computational Geometry ( IF 0.4 ) Pub Date : 2012-02-20 , DOI: 10.1016/j.comgeo.2012.02.005 Oswin Aichholzer 1 , Ruy Fabila-Monroy , Thomas Hackl , Marc van Kreveld , Alexander Pilz , Pedro Ramos , Birgit Vogtenhuber
中文翻译:
阻塞 Delaunay 三角剖分。
更新日期:2012-02-20
Computational Geometry ( IF 0.4 ) Pub Date : 2012-02-20 , DOI: 10.1016/j.comgeo.2012.02.005 Oswin Aichholzer 1 , Ruy Fabila-Monroy , Thomas Hackl , Marc van Kreveld , Alexander Pilz , Pedro Ramos , Birgit Vogtenhuber
Affiliation
Given a set B of n black points in general position, we say that a set of white points W blocks B if in the Delaunay triangulation of there is no edge connecting two black points. We give the following bounds for the size of the smallest set W blocking B: (i) white points are always sufficient to block a set of n black points, (ii) if B is in convex position, white points are always sufficient to block it, and (iii) at least white points are always necessary to block a set of n black points.
中文翻译:
阻塞 Delaunay 三角剖分。
给定一组乙的ñ一般位置的黑点,我们说一套白点w ^块乙,如果在的Delaunay三角没有连接两个黑点的边。我们为最小集合W阻塞B的大小给出以下界限:(i)白点总是足以阻挡一组n 个黑点,(ii) 如果B处于凸位置, 白点总是足以阻止它,并且(iii)至少 白点总是需要阻止一组n 个黑点。