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| Presentation | 2010-10-15 09:30 Constant-Work-Space Algorithms for Geometric Problems(1) Tetsuo Asano (JAIST), Wolfgang Mulzer (Princeton Univ.), Gunter Rote (Free Univ.), Yajun Wang (Microsoft)  COMP2010-31 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (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 $\Theta(n \log n)$-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. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | constant-work-space algorithm / geometric problem / Delaunay triangulation / Voronoi diagram / Euclidean minimum spanning tree / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 110, no. 232, COMP2010-31, pp. 1-7, Oct. 2010. | |
| Paper # | COMP2010-31 | |
| Date of Issue | 2010-10-08 (COMP) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | COMP2010-31 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2010-10-15 - 2010-10-15 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tohoku Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2010-10-COMP |
| Language | English (Japanese title is available) |
| 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 |
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| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Tetsuo Asano |
| 1st Author's Affiliation | JAIST (JAIST) |
| 2nd Author's Name | Wolfgang Mulzer |
| 2nd Author's Affiliation | Princeton University (Princeton Univ.) |
| 3rd Author's Name | Gunter Rote |
| 3rd Author's Affiliation | Free University (Free Univ.) |
| 4th Author's Name | Yajun Wang |
| 4th Author's Affiliation | Microsoft Research (Microsoft) |
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| Speaker | Author-1 |
| Date Time | 2010-10-15 09:30:00 |
| Presentation Time | 35 minutes |
| Registration for | COMP |
| Paper # | COMP2010-31 |
| Volume (vol) | vol.110 |
| Number (no) | no.232 |
| Page | pp.1-7 |
| #Pages | 7 |
| Date of Issue | 2010-10-08 (COMP) |
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