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| Paper Abstract and Keywords | ||
| Presentation | 2020-12-04 09:30 Counting Weave Diagrams Tomio Hirata (Nagoya Univ.), Isamu Matsuura (Aichi Center for Industry and Science Technology)  COMP2020-18 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Usually, a woven fabric is constructed by repeating a small pattern unit up down and left right like tiling. We call such a pattern unit a weave diagram. For two weave diagrams $W$ and $W'$, both consisting of $m$ weft yarns and $n$ warp yarns, if the two cloths produced by repeating $W$ and $W'$ are coincident (allowing parallel translation), we say that $W$ and $W'$ are equivalent. In this paper, a formula that counts the number of non-equivalent weave diagrams is given. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | weave diagram / textile design / Burnside's lemma / M"{o}bius' inversion formula / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 276, COMP2020-18, pp. 1-7, Dec. 2020. | |
| Paper # | COMP2020-18 | |
| Date of Issue | 2020-11-27 (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 | COMP2020-18 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2020-12-04 - 2020-12-04 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2020-12-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Counting Weave Diagrams |
| Sub Title (in English) | |
| Keyword(1) | weave diagram |
| Keyword(2) | textile design |
| Keyword(3) | Burnside's lemma |
| Keyword(4) | M"{o}bius' inversion formula |
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| 1st Author's Name | Tomio Hirata |
| 1st Author's Affiliation | Nagoya University (Nagoya Univ.) |
| 2nd Author's Name | Isamu Matsuura |
| 2nd Author's Affiliation | Aichi Center for Industry and Science Technology (Aichi Center for Industry and Science Technology) |
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| Speaker | Author-1 |
| Date Time | 2020-12-04 09:30:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2020-18 |
| Volume (vol) | vol.120 |
| Number (no) | no.276 |
| Page | pp.1-7 |
| #Pages | 7 |
| Date of Issue | 2020-11-27 (COMP) |
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