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Paper Abstract and Keywords
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
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
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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)
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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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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
Date Time 2013-12-21 13:20:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2013-53 
Volume (vol) IEICE-113 
Number (no) no.371 
Page pp.87-91 
#Pages IEICE-5 
Date of Issue IEICE-COMP-2013-12-13 


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