| IEICE Technical Committee Submission System Conference Paper's Information |
Online Proceedings [Sign in] Tech. Rep. Archives |
| Go Top Page | Go Previous | [Japanese] / [English] |
| Paper Abstract and Keywords | ||
| Presentation | 2013-12-20 09:55 Algorithms for Independent Set Reconfiguration Problem on Graphs Erik D. Demaine, Martin L. Demaine (Massachusetts Inst. of Tech.), Takehiro Ito (Tohoku Univ.), Hirotaka Ono (Kyushu Univ.), Ryuhei Uehara (JAIST)  COMP2013-39 |
|
| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Suppose that we are given two independent sets Ib and Ir of a graph such that |Ibj| = |Ir|, and imagine that a token is placed on each vertex in Ib. Then, sliding token is to determine whether there exists a sequence of independent sets which transforms Ib into Ir so that each independent set in the sequence results from the previous one by sliding exactly one token along an edge in the graph. This problem is known to be PSPACE-complete for perfect graphs. In this paper, we show that the problem is solvable in O(n) time for proper interval graphs and trivially perfect graphs, both of which are subclasses of the class of perfect graphs, where n is the number of vertices in a graph. For these graph classes, we can nd an actual sequence of independent sets between Ib and Ir with the minimum number of token-slidings, in polynomial time. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | graph algorithm / independent set / reconfiguration problem / sliding token / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 371, COMP2013-39, pp. 7-14, Dec. 2013. | |
| Paper # | COMP2013-39 | |
| Date of Issue | 2013-12-13 (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 | COMP2013-39 |
|
| Conference Information | |
| Committee | COMP |
| Conference Date | 2013-12-20 - 2013-12-21 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Industry Support Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2013-12-COMP |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Algorithms for Independent Set Reconfiguration Problem on Graphs |
| Sub Title (in English) | |
| Keyword(1) | graph algorithm |
| Keyword(2) | independent set |
| Keyword(3) | reconfiguration problem |
| Keyword(4) | sliding token |
| Keyword(5) | |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Erik D. Demaine |
| 1st Author's Affiliation | Massachusetts Institute of Technology (Massachusetts Inst. of Tech.) |
| 2nd Author's Name | Martin L. Demaine |
| 2nd Author's Affiliation | Massachusetts Institute of Technology (Massachusetts Inst. of Tech.) |
| 3rd Author's Name | Takehiro Ito |
| 3rd Author's Affiliation | Tohoku University (Tohoku Univ.) |
| 4th Author's Name | Hirotaka Ono |
| 4th Author's Affiliation | Kyushu University (Kyushu Univ.) |
| 5th Author's Name | Ryuhei Uehara |
| 5th Author's Affiliation | Japan Advanced Institute of Science and Technology (JAIST) |
| 6th Author's Name | |
| 6th Author's Affiliation | () |
| 7th Author's Name | |
| 7th Author's Affiliation | () |
| 8th Author's Name | |
| 8th Author's Affiliation | () |
| 9th Author's Name | |
| 9th Author's Affiliation | () |
| 10th Author's Name | |
| 10th Author's Affiliation | () |
| 11th Author's Name | |
| 11th Author's Affiliation | () |
| 12th Author's Name | |
| 12th Author's Affiliation | () |
| 13th Author's Name | |
| 13th Author's Affiliation | () |
| 14th Author's Name | |
| 14th Author's Affiliation | () |
| 15th Author's Name | |
| 15th Author's Affiliation | () |
| 16th Author's Name | |
| 16th Author's Affiliation | () |
| 17th Author's Name | |
| 17th Author's Affiliation | () |
| 18th Author's Name | |
| 18th Author's Affiliation | () |
| Speaker | Author-5 |
| Date Time | 2013-12-20 09:55:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | COMP2013-39 |
| Volume (vol) | vol.113 |
| Number (no) | no.371 |
| Page | pp.7-14 |
| #Pages | 8 |
| Date of Issue | 2013-12-13 (COMP) |
[Return to Top Page]