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| Presentation | 2016-04-22 14:30 Physical Bucket Sort John Iacono (NY Univ.), Hiro Ito, Atsuki Nagao, Junji Nishino (UEC), David Rappaport (Queen's Univ.)  COMP2016-5 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Bucket sort is one of the most famous sorting algorithm, which runs in O(k + n)-time where k is the number of buckets and n is the number of items. In this framework, we need a unit time to put an item into a bucket. In this report, we present a new framework of sorting, “physical bucket sort,”where we need a moving time: to put an item into a bucket we must stand by the bucket and to move from bucket i to bucket j, we need |i－ j|-time, in addition to the putting time. To postpone an item to the bottom of the pile of items is allowed, but it also needs a unit time. This is a simple formulation of sorting a pile of reports by their score. A trivial upper bound of the running time of physical bucket sort is O(kn). In this report, we show an O(n√k)-time algorithm and prove it the best possible. We also consider another model in which an operation to pick-up all items in a bucket by paying a unit time is allowed. In the second model, we show an O(n log k)-time algorithm and prove that it is the best possible also. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Algorithms / Sort Algorithms / Bucket Sort / Complexity / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 17, COMP2016-5, pp. 29-34, April 2016. | |
| Paper # | COMP2016-5 | |
| Date of Issue | 2016-04-15 (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 | COMP2016-5 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2016-04-22 - 2016-04-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2016-04-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Physical Bucket Sort |
| Sub Title (in English) | |
| Keyword(1) | Algorithms |
| Keyword(2) | Sort Algorithms |
| Keyword(3) | Bucket Sort |
| Keyword(4) | Complexity |
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| 1st Author's Name | John Iacono |
| 1st Author's Affiliation | NY University (NY Univ.) |
| 2nd Author's Name | Hiro Ito |
| 2nd Author's Affiliation | University of Electro-Communications (UEC) |
| 3rd Author's Name | Atsuki Nagao |
| 3rd Author's Affiliation | University of Electro-Communications (UEC) |
| 4th Author's Name | Junji Nishino |
| 4th Author's Affiliation | University of Electro-Communications (UEC) |
| 5th Author's Name | David Rappaport |
| 5th Author's Affiliation | Queen's University (Queen's Univ.) |
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| Speaker | Author-3 |
| Date Time | 2016-04-22 14:30:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2016-5 |
| Volume (vol) | vol.116 |
| Number (no) | no.17 |
| Page | pp.29-34 |
| #Pages | 6 |
| Date of Issue | 2016-04-15 (COMP) |
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