Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#235426] of Pankaj K. Agarwal

Papers Published

  1. Agarwal, PK; Aronov, B; Sharir, M, Exact and approximation algorithms for minimum-width cylindrical shells, in Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (2000), pp. 510-517
    (last updated on 2018/10/19)

    Let S be a set of n points in R3. Let ω* = ω*(S) be the width (i.e., thickness) of a minimum-width infinite cylindrical shell (the region between two co-axial cylinders) containing S. We first present an O(n5)-time algorithm for computing ω*, which as far as we know is the first nontrivial algorithm for this problem. We then present an O(n2+δ)-time algorithm, for any δ>0, that computes a cylindrical shell of width at most 26(1+1/n4/9)ω* containing S.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320