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| Presentation | 2024-03-14 16:30 A consideration on the spannig polytope volume using the recurrence representation and its computation Ei Ando (Senshu Univ.)  COMP2023-35 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this paper, we consider the volume of the spanning tree polytope and we can compute its volume exactly in polynomial time if the treewidth of $G$ is bounded by a constant. We show that the volume of the spanning forest polytope can be computed by repeating definite integrals $O(|V|+|E|)$ times. Then, we show an algorithm for computing the volume of the spanning forest polytope. We at last show the computation of the the spanning tree polytope's volume by considering additional condition, and show that our algorithms compute the volume of the spanning forest polytope and the volume of the spanning tree polytope in $O((k+1)^2!(k+1)^4n^{k+3})$ time and $O((k+2)^2!(k+2)^4n^{k+3})$ time, |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | high dimensional volume / spanning tree polytope / treewidth / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 123, no. 444, COMP2023-35, pp. 42-49, March 2024. | |
| Paper # | COMP2023-35 | |
| Date of Issue | 2024-03-07 (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 | COMP2023-35 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2024-03-14 - 2024-03-14 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | The University of Electro-Communications |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Theoretical Computer Science, etc |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2024-03-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A consideration on the spannig polytope volume using the recurrence representation and its computation |
| Sub Title (in English) | |
| Keyword(1) | high dimensional volume |
| Keyword(2) | spanning tree polytope |
| Keyword(3) | treewidth |
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| 1st Author's Name | Ei Ando |
| 1st Author's Affiliation | Senshu Univeristy (Senshu Univ.) |
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| Speaker | Author-1 |
| Date Time | 2024-03-14 16:30:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2023-35 |
| Volume (vol) | vol.123 |
| Number (no) | no.444 |
| Page | pp.42-49 |
| #Pages | 8 |
| Date of Issue | 2024-03-07 (COMP) |
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