| Presentation | 2010-10-15 Constant-Work-Space Algorithms for Geometric Problems (1) Tetsuo ASANO, Wolfgang MULZER, Gunter ROTE, Yajun WANG, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We present space-efficient algorithms for geometric problems in a restricted computational model called "constant work space" or "log-space" computation. We start with an algorithm for drawing a Delaunay triangulation of a planar point set and then extend it to another algorithm for drawing a Voronoi diagram. There are Θ(n log n)-time algorithms for those problems in a standard computational model for n points. Our algorithms run in O(n^2) time using only a constant number of storage cells of O(log n) bits in total. Then, we give a cubic-time algorithm for computing a Euclidean minimum spanning tree for a point set. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | constant-work-space algorithm / geometric problem / Delaunay triangulation / Voronoi diagram / Euclidean minimum spanning tree |
| Paper # | COMP2010-31 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2010/10/8(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Constant-Work-Space Algorithms for Geometric Problems (1) |
| Sub Title (in English) | |
| Keyword(1) | constant-work-space algorithm |
| Keyword(2) | geometric problem |
| Keyword(3) | Delaunay triangulation |
| Keyword(4) | Voronoi diagram |
| Keyword(5) | Euclidean minimum spanning tree |
| 1st Author's Name | Tetsuo ASANO |
| 1st Author's Affiliation | Graduate School of Information Sciences, JAIST() |
| 2nd Author's Name | Wolfgang MULZER |
| 2nd Author's Affiliation | Department of Computer Science, Princeton University |
| 3rd Author's Name | Gunter ROTE |
| 3rd Author's Affiliation | Institut fur Infomatik, Freie Universitat Berlin |
| 4th Author's Name | Yajun WANG |
| 4th Author's Affiliation | Theory Group, Microsoft Research Asia |
| Date | 2010-10-15 |
| Paper # | COMP2010-31 |
| Volume (vol) | vol.110 |
| Number (no) | 232 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |