Response to Reviewer Comments

نویسنده

  • Zhixiang Chen
چکیده

Given d > 2 and a set of n grid points Q in R, we design a randomized algorithm that finds a w-wide separator, which is determined by a hyper-plane, in O(n 2 d log n) sublinear time such that Q has at most ( d d+1 + o(1))n points one either side of the hyper-plane, and at most cdwn d−1 d points within w 2 distance to the hyper-plane, where cd is a constant for fixed d. In particular, c3 = 1.209. To our best knowledge, this is the first sublinear time algorithm for finding geometric separators. Our 3D separator is applied to derive an algorithm for the protein side-chain packing problem, which improves and simplifies the previous algorithm of Xu [27].

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تاریخ انتشار 2007