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Paper Abstract and Keywords
Presentation 2017-12-21 11:00
Space Efficient Algorithms for Maximum (Weight) Independent Set on Circular Arcs
Shohei Urakawa (Kobe Univ.), Tom C. van der Zanden (Utrecht Univ.), Toshiki Saitoh (Kyutech), Ryuhei Uehara (JAIST) ISEC2017-74 COMP2017-28
Abstract (in Japanese) (See Japanese page) 
(in English) Recently,due to increase of the capacity of storages,we require space efficient algorithms with a limited workspace for
treating with huge amount of data.
In this paper,we deal with the problems of finding the maximum weighted and unweighted independent set for a set of arcs on a circle,called circular arc representation.
In this paper, we propose space efficient algorithms for maximum independent set problem on circular arc.
The algorithm for the unweighted problem works in $ O (frac{n}{s} (n (frac{n}{s} + log s) + s^2)$ time,and
the algorithm for the weighted problem works in $ O (n ^ {log {n / s} +1} (s log s + n log ^ * s + (n log n) / (log s)))$ time where the input size is $ n $, and the workspace is $ O (s) $ words ($ s <n $).
In order to propose an algorithm on the circular arc for the weighted problem,we propose $ O (n ^ {log {n / s}} (s log s + n log ^ * s + (n log n) / (log s))) $ time algorithm for the weighted maximum independent set problem on interval.
Keyword (in Japanese) (See Japanese page) 
(in English) circular arc / interval / maximum independent set / space efficient algorithm / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 370, COMP2017-28, pp. 11-18, Dec. 2017.
Paper # COMP2017-28 
Date of Issue 2017-12-14 (ISEC, COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF ISEC2017-74 COMP2017-28

Conference Information
Committee ISEC COMP  
Conference Date 2017-12-21 - 2017-12-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Eikokuji Campus, Kochi University of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2017-12-ISEC-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Space Efficient Algorithms for Maximum (Weight) Independent Set on Circular Arcs 
Sub Title (in English)  
Keyword(1) circular arc  
Keyword(2) interval  
Keyword(3) maximum independent set  
Keyword(4) space efficient algorithm  
1st Author's Name Shohei Urakawa  
1st Author's Affiliation Kobe University (Kobe Univ.)
2nd Author's Name Tom C. van der Zanden  
2nd Author's Affiliation Utrecht University (Utrecht Univ.)
3rd Author's Name Toshiki Saitoh  
3rd Author's Affiliation Kyushu Institute of Technology (Kyutech)
4th Author's Name Ryuhei Uehara  
4th Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
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Date Time 2017-12-21 11:00:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-ISEC2017-74,IEICE-COMP2017-28 
Volume (vol) IEICE-117 
Number (no) no.369(ISEC), no.370(COMP) 
Page pp.11-18 
#Pages IEICE-8 
Date of Issue IEICE-ISEC-2017-12-14,IEICE-COMP-2017-12-14 

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