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| Presentation | 2023-03-02 15:15 When Input Integers are Given in the Unary Numeral Representation -- (Preliminary Report) -- Tomoyuki Yamakami (U of Fukui)  COMP2022-37 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Many NP-complete problems take integers as part of their input instances. These input integers are given in general in the form of the "binary" numeral representation and the lengths of such binary integers are used as a basis unit of measuring the computational complexity of the problems. In sharp contrast, the "unary" numeral representation has been known to bring a remarkably different effect onto the computational complexity of the problems. Unfortunately, no systematic study seems to have been focused on the difference between the computational effects caused by the binary and the unary representations of input integers. This paper attempts to spotlight an issue of how the unary representation affects the computational complexity of various combinatorial problems and to exhibit an intriguing area of studying such unary effects in computational complexity theory. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | unary numeral representation / logarithmic-space / pushdown automata / log-space reduction / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 122, no. 414, COMP2022-37, pp. 21-27, March 2023. | |
| Paper # | COMP2022-37 | |
| Date of Issue | 2023-02-23 (COMP) | |
| ISSN | 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 | COMP2022-37 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2023-03-02 - 2023-03-02 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Ochanomizu University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Theoretical Computer Science, etc |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2023-03-COMP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | When Input Integers are Given in the Unary Numeral Representation |
| Sub Title (in English) | (Preliminary Report) |
| Keyword(1) | unary numeral representation |
| Keyword(2) | logarithmic-space |
| Keyword(3) | pushdown automata |
| Keyword(4) | log-space reduction |
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| 1st Author's Name | Tomoyuki Yamakami |
| 1st Author's Affiliation | University of Fukui (U of Fukui) |
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| Speaker | Author-1 |
| Date Time | 2023-03-02 15:15:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2022-37 |
| Volume (vol) | vol.122 |
| Number (no) | no.414 |
| Page | pp.21-27 |
| #Pages | 7 |
| Date of Issue | 2023-02-23 (COMP) |
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