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Paper Abstract and Keywords
Presentation 2017-12-22 14:40
Efficient Enumeration of Dominating Sets in K-Degenerate graphs
Kazuhiro Kurita (HU), Kunihiro Wasa, Takeaki Uno (NII), Hiroki Arimura (HU) ISEC2017-89 COMP2017-43
Abstract (in Japanese) (See Japanese page) 
(in English) A dominating set is one of the fundamental graph structure, like clique, independent set, s-t path, and cut. It is known that there is a polynomial delay algorithm to enumerate theses minimal or maximal graph structures. However, it is open problem that there is a polynomial delay or amortized polynomial time algorithm to enumerate minimal dominating sets. In addition, enumeration of all dominating sets has not been paid much attention. In this paper, we enumerate all dominating sets not only minimal dominating sets. As a main result, we propose an efficient enumeration algorithm. This algorithm enumerates all dominating set in O (k) time per solution using O (nm) space, where k is degeneracy of an input graph. It is known that planar graphs have the constant degeneracy. Hence, the proposed algorithm enumerates all dominating set in constant time per solution.
Keyword (in Japanese) (See Japanese page) 
(in English) dominating sets / enumeration algorithm / amorized polynomial time / degeneracy / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 370, COMP2017-43, pp. 111-117, Dec. 2017.
Paper # COMP2017-43 
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. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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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 English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Efficient Enumeration of Dominating Sets in K-Degenerate graphs 
Sub Title (in English)  
Keyword(1) dominating sets  
Keyword(2) enumeration algorithm  
Keyword(3) amorized polynomial time  
Keyword(4) degeneracy  
1st Author's Name Kazuhiro Kurita  
1st Author's Affiliation Hokkaido University (HU)
2nd Author's Name Kunihiro Wasa  
2nd Author's Affiliation National Institute of Informatics (NII)
3rd Author's Name Takeaki Uno  
3rd Author's Affiliation National Institute of Informatics (NII)
4th Author's Name Hiroki Arimura  
4th Author's Affiliation Hokkaido University (HU)
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Date Time 2017-12-22 14:40:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-ISEC2017-89,IEICE-COMP2017-43 
Volume (vol) IEICE-117 
Number (no) no.369(ISEC), no.370(COMP) 
Page pp.111-117 
#Pages IEICE-7 
Date of Issue IEICE-ISEC-2017-12-14,IEICE-COMP-2017-12-14 

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