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| Presentation | 2016-10-21 13:30 Physical Bucket Sort with Two Kinds of Items Atsuki Nagao, Shuhei Yoshizawa, Hiro Ito (UEC)  COMP2016-26 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Bucket sort is one of the most famous sorting algorithms, and it runs in time $O(k+n)$, where $k$ is the number of buckets and $n$ is the number of items. In this framework, we need a unit time within which to place an item into a bucket. Here, we present a new framework of sorting, emph{physical bucket sort}, where we need time to move from bucket to bucket, we must stand by the bucket, and to move from bucket $i$ to bucket $j$, we need $|i-j|$ units of time in addition to the placing time. It is permitted to postpone an item to the bottom of the pile of items, but it also needs unit time. This is a simple formulation that enables us to sort a pile of reports according to their score. A trivial upper bound of the running time of physical bucket sort is $O(kn)$. It is known that there is an $O(n sqrt{k})$-time algorithm, and it is asymptotically optimal for any non-fixed input. In this talk, we offer the lower bound when the physical bucket sort has only two kinds of items and the input is fixed and known. In this case, we show the lower bound is $1.5n$ for some inputs. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Algorithm / Sort Algorithm / Bucket Sort / Complexity / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 262, COMP2016-26, pp. 23-27, Oct. 2016. | |
| Paper # | COMP2016-26 | |
| Date of Issue | 2016-10-14 (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 | COMP2016-26 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2016-10-21 - 2016-10-21 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tohoku University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2016-10-COMP |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Physical Bucket Sort with Two Kinds of Items |
| Sub Title (in English) | |
| Keyword(1) | Algorithm |
| Keyword(2) | Sort Algorithm |
| Keyword(3) | Bucket Sort |
| Keyword(4) | Complexity |
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| 1st Author's Name | Atsuki Nagao |
| 1st Author's Affiliation | The University of Electro-Communications (UEC) |
| 2nd Author's Name | Shuhei Yoshizawa |
| 2nd Author's Affiliation | The University of Electro-Communications (UEC) |
| 3rd Author's Name | Hiro Ito |
| 3rd Author's Affiliation | The University of Electro-Communications (UEC) |
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| Speaker | Author-1 |
| Date Time | 2016-10-21 13:30:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2016-26 |
| Volume (vol) | vol.116 |
| Number (no) | no.262 |
| Page | pp.23-27 |
| #Pages | 5 |
| Date of Issue | 2016-10-14 (COMP) |
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