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| Presentation | 2013-12-21 13:20 k-Edge-Rigid Body-Hinge Graphs Yuya Higashikawa, Naoki Katoh, Yuki Kobayashi (Kyoto Univ.), Adnan Sljoka (York Univ.)  COMP2013-53 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this paper, we prove that a body-hinge graph $G$ is $(k-1)$-edge-rigid if and only if $G$ is $k$-edge-connected ($k ge 3$). A body-hinge graph $G$ is $k$-edge-rigid if removing any $(k-1)$ edges from $G$ results in a graph which is rigid. Furthermore, we prove that a body-hinge graph $G$ is $k$-vertex-connected if $G$ is $k$-vertex-rigid and that a body-hinge graph $G$ is $(k-h, h+2)$-rigid with $h (0le h le k-1)$ if $G$ is $(k+2)$-vertex-connected ($k ge 1$). A body-hinge graph $G$ is $k$-vertex-rigid if removing any $(k-1)$ vertices from $G$ results in a graph which is rigid. A body-hinge graph $G$ is $(i,j)$-rigid if removing any $(i-1)$ vertices from $G$ results in a graph which is $j$-edge-rigid. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Body-hinge frameworks / Combinatorial rigidity / Rigid realization / Edge connectivity / Redundant rigidity / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 371, COMP2013-53, pp. 87-91, Dec. 2013. | |
| Paper # | COMP2013-53 | |
| Date of Issue | 2013-12-13 (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 | COMP2013-53 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2013-12-20 - 2013-12-21 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Industry Support Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2013-12-COMP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | k-Edge-Rigid Body-Hinge Graphs |
| Sub Title (in English) | |
| Keyword(1) | Body-hinge frameworks |
| Keyword(2) | Combinatorial rigidity |
| Keyword(3) | Rigid realization |
| Keyword(4) | Edge connectivity |
| Keyword(5) | Redundant rigidity |
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| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Yuya Higashikawa |
| 1st Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 2nd Author's Name | Naoki Katoh |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 3rd Author's Name | Yuki Kobayashi |
| 3rd Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 4th Author's Name | Adnan Sljoka |
| 4th Author's Affiliation | York University (York Univ.) |
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| Speaker | Author-3 |
| Date Time | 2013-12-21 13:20:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | COMP2013-53 |
| Volume (vol) | vol.113 |
| Number (no) | no.371 |
| Page | pp.87-91 |
| #Pages | 5 |
| Date of Issue | 2013-12-13 (COMP) |
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