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| Presentation | 2018-10-26 15:00 Upper and lower bounds on the OBDD-width of a special integer multiplication Tong Qin (Tokyo Tech)  COMP2018-27 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We consider a Boolean function ${rm SMul}_{n-1}^n$ that computes the middle bit of the multiplication of two natural numbers given as $n$ bit binary strings {boldmath $x$} and {boldmath $y$} from some restricted domain, and investigate the width of OBDDs computing ${rm SMul}_{n-1}^n$. We introduce a combinatorially defined function $s_*(n)$ and show that the width of OBDDs computing ${rm SMul}_{n-1}^n$ is $Theta(2^{s_*(n)})$. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | ordered binary decision diagram / graph width / complexity measure / best exponential lower and upper bounds / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 268, COMP2018-27, pp. 45-54, Oct. 2018. | |
| Paper # | COMP2018-27 | |
| Date of Issue | 2018-10-19 (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 | COMP2018-27 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2018-10-26 - 2018-10-26 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyoto University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2018-10-COMP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Upper and lower bounds on the OBDD-width of a special integer multiplication |
| Sub Title (in English) | |
| Keyword(1) | ordered binary decision diagram |
| Keyword(2) | graph width |
| Keyword(3) | complexity measure |
| Keyword(4) | best exponential lower and upper bounds |
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| 1st Author's Name | Tong Qin |
| 1st Author's Affiliation | Tokyo Institute of Technology (Tokyo Tech) |
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| Speaker | Author-1 |
| Date Time | 2018-10-26 15:00:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2018-27 |
| Volume (vol) | vol.118 |
| Number (no) | no.268 |
| Page | pp.45-54 |
| #Pages | 10 |
| Date of Issue | 2018-10-19 (COMP) |
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