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| Presentation | 2012-04-27 11:10 Generation of Ternary Matroids and Experiments on White's Conjecture Hidefumi Hiraishi, Hiroshi Imai (Univ. of Tokyo), Sonoko Moriyama (Tohoku Univ.)  COMP2012-3 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this paper, we deal with White's conjectures. White's conjectures are two classical conjectures of matroid theory, in one of which there have recently been new progresses. We extended a Blasiak's result and experimented on two conjectures to confirm they held on matroids of small size. The matroids we used are not only general matroids, but subclass of matroids; binary, ternary and regular matroids. For ternary matroids, we extended the existing algorithm of generation of simple ternary matroids and generated both simple and non-simple ones. Matroids of up to 13 elements were generated concerning at most rank 4, and up to 11 elements concerning at most rank 7. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | matroid / binary matroid / ternary matroid / regular matroid / White's conjecture / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 112, no. 21, COMP2012-3, pp. 15-21, April 2012. | |
| Paper # | COMP2012-3 | |
| Date of Issue | 2012-04-20 (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 | COMP2012-3 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2012-04-27 - 2012-04-27 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Osaka Prefecture University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2012-04-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Generation of Ternary Matroids and Experiments on White's Conjecture |
| Sub Title (in English) | |
| Keyword(1) | matroid |
| Keyword(2) | binary matroid |
| Keyword(3) | ternary matroid |
| Keyword(4) | regular matroid |
| Keyword(5) | White's conjecture |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Hidefumi Hiraishi |
| 1st Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
| 2nd Author's Name | Hiroshi Imai |
| 2nd Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
| 3rd Author's Name | Sonoko Moriyama |
| 3rd Author's Affiliation | Tohoku University (Tohoku Univ.) |
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| Speaker | Author-1 |
| Date Time | 2012-04-27 11:10:00 |
| Presentation Time | 35 minutes |
| Registration for | COMP |
| Paper # | COMP2012-3 |
| Volume (vol) | vol.112 |
| Number (no) | no.21 |
| Page | pp.15-21 |
| #Pages | 7 |
| Date of Issue | 2012-04-20 (COMP) |
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