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| Presentation | 2012-09-03 10:50 An Improved Extended Result on Polynomial-Time Solvability of the Maximum Clique Problem Hiroaki Nakanishi, Etsuji Tomita, Mitsuo Wakatsuki, Tetsuro Nishino (UEC)  COMP2012-28 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This paper presents an 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 3.177dlgn (d≧0: a constant), then the maximum clique problem is solvable in the polynomial time of O(n^(1+d)). This result is obtained by detailed case analysis and the corresponding detailed algorithm. |
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| 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. 112, no. 199, COMP2012-28, pp. 17-24, Sept. 2012. | |
| Paper # | COMP2012-28 | |
| Date of Issue | 2012-08-27 (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) | |
| Download PDF | COMP2012-28 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2012-09-03 - 2012-09-03 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hosei University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2012-09-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Improved Extended 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) | Degree of a vertex |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Hiroaki Nakanishi |
| 1st Author's Affiliation | The University of Electro-Communications (UEC) |
| 2nd Author's Name | Etsuji Tomita |
| 2nd Author's Affiliation | The University of Electro Communications (UEC) |
| 3rd Author's Name | Mitsuo Wakatsuki |
| 3rd Author's Affiliation | The University of Electro Communications (UEC) |
| 4th Author's Name | Tetsuro Nishino |
| 4th Author's Affiliation | The University of Electro Communications (UEC) |
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| Speaker | Author-1 |
| Date Time | 2012-09-03 10:50:00 |
| Presentation Time | 35 minutes |
| Registration for | COMP |
| Paper # | COMP2012-28 |
| Volume (vol) | vol.112 |
| Number (no) | no.199 |
| Page | pp.17-24 |
| #Pages | 8 |
| Date of Issue | 2012-08-27 (COMP) |
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