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| Presentation | 2017-12-21 11:00 Space Efficient Algorithms for Maximum (Weight) Independent Set on Circular Arcs Shohei Urakawa (Kobe Univ.), Tom C. van der Zanden (Utrecht Univ.), Toshiki Saitoh (Kyutech), Ryuhei Uehara (JAIST)  ISEC2017-74 COMP2017-28 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Recently，due to increase of the capacity of storages，we require space efficient algorithms with a limited workspace for treating with huge amount of data． In this paper，we deal with the problems of finding the maximum weighted and unweighted independent set for a set of arcs on a circle，called circular arc representation． In this paper, we propose space efficient algorithms for maximum independent set problem on circular arc． The algorithm for the unweighted problem works in $ O (frac{n}{s} (n (frac{n}{s} + log s) + s^2)$ time，and the algorithm for the weighted problem works in $ O (n ^ {log {n / s} +1} (s log s + n log ^ * s + (n log n) / (log s)))$ time where the input size is $ n $, and the workspace is $ O (s) $ words ($ s <n $)． In order to propose an algorithm on the circular arc for the weighted problem，we propose $ O (n ^ {log {n / s}} (s log s + n log ^ * s + (n log n) / (log s))) $ time algorithm for the weighted maximum independent set problem on interval． |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | circular arc / interval / maximum independent set / space efficient algorithm / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 370, COMP2017-28, pp. 11-18, Dec. 2017. | |
| Paper # | COMP2017-28 | |
| Date of Issue | 2017-12-14 (ISEC, 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 | ISEC2017-74 COMP2017-28 |
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| Conference Information | |
| Committee | ISEC COMP |
| Conference Date | 2017-12-21 - 2017-12-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Eikokuji Campus, Kochi University of Technology |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2017-12-ISEC-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Space Efficient Algorithms for Maximum (Weight) Independent Set on Circular Arcs |
| Sub Title (in English) | |
| Keyword(1) | circular arc |
| Keyword(2) | interval |
| Keyword(3) | maximum independent set |
| Keyword(4) | space efficient algorithm |
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| 1st Author's Name | Shohei Urakawa |
| 1st Author's Affiliation | Kobe University (Kobe Univ.) |
| 2nd Author's Name | Tom C. van der Zanden |
| 2nd Author's Affiliation | Utrecht University (Utrecht Univ.) |
| 3rd Author's Name | Toshiki Saitoh |
| 3rd Author's Affiliation | Kyushu Institute of Technology (Kyutech) |
| 4th Author's Name | Ryuhei Uehara |
| 4th Author's Affiliation | Japan Advanced Institute of Science and Technology (JAIST) |
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| Speaker | Author-1 |
| Date Time | 2017-12-21 11:00:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | ISEC2017-74, COMP2017-28 |
| Volume (vol) | vol.117 |
| Number (no) | no.369(ISEC), no.370(COMP) |
| Page | pp.11-18 |
| #Pages | 8 |
| Date of Issue | 2017-12-14 (ISEC, COMP) |
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