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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COMP2011-6 |
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) |
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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) |
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Keyword(1) |
NP-Complete |
Keyword(2) |
Maximum Clique |
Keyword(3) |
Depth-First Search |
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Time-Complexity |
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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 |
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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 |
8 |
Date of Issue |
2011-04-15 (COMP) |
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