Paper Abstract and Keywords |
Presentation |
2014-06-14 10:55
A Further Improved Extended Result on Polynomial-Time Solvability of the Maximum Clique Problem Hiroaki Nakanishi (Waseda Univ.), Etsuji Tomita, Mitsuo Wakatsuki, Tetsuro Nishino (UEC) COMP2014-13 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
This paper presents a further improved extended result for polynomial-time solvability of the maximum clique problem, that is:
for any adjacent pair of vertices $p$ and $q$ where the degree of $p$ is less than or equal to that of $q$ in a graph with $n$ vertices,
if the degree of $p$ is less than or equal to $3.486dlg n$
($d geq 0$: a constant),
then the maximum clique problem is solvable in the polynomial time of $O(n^{ 2+max{d, 1}})$.
This result is obtained by more detailed analysis and the corresponding detailed algorithm. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
NP-Complete / Maximum Clique / Depth-First Search / Time-Complexity / Degree of a vertex / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 80, COMP2014-13, pp. 85-92, June 2014. |
Paper # |
COMP2014-13 |
Date of Issue |
2014-06-06 (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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COMP2014-13 |
Conference Information |
Committee |
COMP IPSJ-AL |
Conference Date |
2014-06-13 - 2014-06-14 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Matsuyama, Ehime |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2014-06-COMP-AL |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Further Improved Extended 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 |
Keyword(4) |
Time-Complexity |
Keyword(5) |
Degree of a vertex |
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1st Author's Name |
Hiroaki Nakanishi |
1st Author's Affiliation |
Waseda University (Waseda Univ.) |
2nd Author's Name |
Etsuji Tomita |
2nd Author's Affiliation |
University of Electro-Communications (UEC) |
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 |
2014-06-14 10:55:00 |
Presentation Time |
25 minutes |
Registration for |
COMP |
Paper # |
COMP2014-13 |
Volume (vol) |
vol.114 |
Number (no) |
no.80 |
Page |
pp.85-92 |
#Pages |
8 |
Date of Issue |
2014-06-06 (COMP) |
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