剥离网格
Peeling the Grid
摘要:
考虑由整数$n \times n$网格形成的点集,以及在每次迭代中从点集中移除其凸包的顶点的过程。在这里,我们证明了这个过程的迭代次数是O(n^{4/3});也就是说,$n\times n$网格的凸层数是Θ(n^{4/3})。
英文摘要:
Consider the set of points formed by the integer $n \times n$ grid, and the process that in each iteration removes from the point set the vertices of its convex-hull. Here, we prove that the number of iterations of this process is O(n^{4/3}); that is, the number of convex layers of the $n\times n$ grid is Θ(n^{4/3}).
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。