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Paper Abstract and Keywords
Presentation 2007-09-20 13:50
Bandwidth of Bipartite Permutation Graphs
Ryuhei Uehara (JAIST) COMP2007-36
Abstract (in Japanese) (See Japanese page) 
(in English) The bandwidth problem is to find a linear layout of vertices in a graph
in such way that minimizes the maximum distance between two vertices joined by an edge.
The problem has wide applications including sparse matrix computations and molecular biology.
However, the problem is NP-complete even for trees.
Three polynomial time algorithms for computing the bandwidth of a graph are presented.
The first one is a linear time algorithm for a threshold graph,
and the second one is a linear time algorithm for a chain graph.
They improve the previously known upper bounds to optimal.
The last algorithm solves the bandwidth problem for a bipartite permutation graph.
This is the first polynomial time algorithm for the graph class.
The results give positive answers to some open problems.
Keyword (in Japanese) (See Japanese page) 
(in English) Bandwidth / bipartite permutation graphs / chain graphs / interval graphs / threshold graphs / / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 219, COMP2007-36, pp. 29-34, Sept. 2007.
Paper # COMP2007-36 
Date of Issue 2007-09-13 (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 COMP2007-36

Conference Information
Committee COMP  
Conference Date 2007-09-20 - 2007-09-20 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2007-09-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bandwidth of Bipartite Permutation Graphs 
Sub Title (in English)  
Keyword(1) Bandwidth  
Keyword(2) bipartite permutation graphs  
Keyword(3) chain graphs  
Keyword(4) interval graphs  
Keyword(5) threshold graphs  
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1st Author's Name Ryuhei Uehara  
1st Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
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Speaker Author-1 
Date Time 2007-09-20 13:50:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2007-36 
Volume (vol) vol.107 
Number (no) no.219 
Page pp.29-34 
#Pages 6 
Date of Issue 2007-09-13 (COMP) 

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