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Paper Abstract and Keywords
Presentation 2020-03-01 14:00
Metric Dimension on Some Classes of Chordal Graphs
Ryoga Katoh, Remy Belmonte (UEC) COMP2019-49
Abstract (in Japanese) (See Japanese page) 
(in English) The METRIC DIMENSION problem asks, given a graph $G$ and integer $k$, whether there exists a set $S$ of vertices of size at most $k$ such that, for any two vertices $u, v notin S$, there is a vertex $w in S$ such that the distance between $u$ and $w$ is different from the one between $v$ and $w$. This problem is known to be NP-complete. We study the complexity of the problem on $k$-trees and provide a simple linear-time algorithm for $2$-paths. Our algorithm is essentially a streamlined version of the one designed by Diaz et al. [JCSS, 2017] for outerplanar graphs.
Keyword (in Japanese) (See Japanese page) 
(in English) graph theory / metric dimension / resolving sets / algorithms / treewidth / k-trees / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 433, COMP2019-49, pp. 25-28, March 2020.
Paper # COMP2019-49 
Date of Issue 2020-02-23 (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 COMP2019-49

Conference Information
Committee COMP  
Conference Date 2020-03-01 - 2020-03-01 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2020-03-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Metric Dimension on Some Classes of Chordal Graphs 
Sub Title (in English)  
Keyword(1) graph theory  
Keyword(2) metric dimension  
Keyword(3) resolving sets  
Keyword(4) algorithms  
Keyword(5) treewidth  
Keyword(6) k-trees  
Keyword(7)  
Keyword(8)  
1st Author's Name Ryoga Katoh  
1st Author's Affiliation The University of Electro-Communications (UEC)
2nd Author's Name Remy Belmonte  
2nd Author's Affiliation The University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2020-03-01 14:00:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2019-49 
Volume (vol) vol.119 
Number (no) no.433 
Page pp.25-28 
#Pages 4 
Date of Issue 2020-02-23 (COMP) 

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