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Paper Abstract and Keywords
Presentation 2011-04-22 13:55
A further improved result on polynomial-time solvability of the maximum clique problem
Hiroaki Nakanishi (UEC), Etsuji Tomita (UEC/Chuo Univ.), Mitsuo Wakatsuki, Tetsuro Nishino (UEC) COMP2011-6
Abstract (in Japanese) (See Japanese page) 
(in English) This report presents a further improved result for polynomial-time solvability of the maximum clique problem, that is: for a graph with n vertices, if the maximum degree Δ is less than or equal to 2.773dlg n (d ≧ 0: a constant), then the maximum clique problem is solvable in the polynomial time of O(n^{1+d}). This is an improvement of our preceding result in Tech. Rep. IEICE, COMP2010-43, pp.29--36. The present result is established for a graph represented by an adjacency list. As a result, we show that the maximum clique problem is solvable in O(n)-time if the maximum degree of a graph is a constant.
Keyword (in Japanese) (See Japanese page) 
(in English) NP-Complete / Maximum Clique / Depth-First Search / Time-Complexity / Maximum Degree / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 20, COMP2011-6, pp. 41-48, April 2011.
Paper # COMP2011-6 
Date of Issue 2011-04-15 (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)
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Conference Information
Committee COMP  
Conference Date 2011-04-22 - 2011-04-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyoto University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2011-04-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A further improved result on polynomial-time solvability of the maximum clique problem 
Sub Title (in English)  
Keyword(1) NP-Complete  
Keyword(2) Maximum Clique  
Keyword(3) Depth-First Search  
Keyword(4) Time-Complexity  
Keyword(5) Maximum Degree  
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1st Author's Name Hiroaki Nakanishi  
1st Author's Affiliation University of Electro-Communications (UEC)
2nd Author's Name Etsuji Tomita  
2nd Author's Affiliation University of Electro-Communications/Chuo University (UEC/Chuo Univ.)
3rd Author's Name Mitsuo Wakatsuki  
3rd Author's Affiliation University of Electro-Communications (UEC)
4th Author's Name Tetsuro Nishino  
4th Author's Affiliation University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2011-04-22 13:55:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2011-6 
Volume (vol) vol.111 
Number (no) no.20 
Page pp.41-48 
#Pages
Date of Issue 2011-04-15 (COMP) 


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