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| Presentation | 2018-12-12 17:25 Distance 2-domination number of Hypercubes Nana Kawamura, Yosuke Kikuchi (NIT, Tsuyama College)  COMP2018-42 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A dominating set is a subset of vertices of a graph such that any vertex is adjacent to a vertex in the dominating set or in the dominating set. The domination number is a smallest cardinality of the dominating set. The computational problems of the domination number is known as NP-hard problem. There are several type of dominating set are proposed. Moreover, there many research of the problem for various graph classes. The distance 2-dominating set is a subset of vertices that the distance between any vertex and the set is at most 2. This paper gives some the distance 2-domination number or distance 2-total domination number of less than or equal to 7 dimensional hypercube graphs. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Hypercube / domination number / dominating set / distance $2$-domination number / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 356, COMP2018-42, pp. 69-72, Dec. 2018. | |
| Paper # | COMP2018-42 | |
| Date of Issue | 2018-12-05 (COMP) | |
| ISSN | 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 | COMP2018-42 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2018-12-12 - 2018-12-12 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tohoku University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2018-12-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Distance 2-domination number of Hypercubes |
| Sub Title (in English) | |
| Keyword(1) | Hypercube |
| Keyword(2) | domination number |
| Keyword(3) | dominating set |
| Keyword(4) | distance $2$-domination number |
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| 1st Author's Name | Nana Kawamura |
| 1st Author's Affiliation | National Institute of Technology, Tsuyama College (NIT, Tsuyama College) |
| 2nd Author's Name | Yosuke Kikuchi |
| 2nd Author's Affiliation | National Institute of Technology, Tsuyama College (NIT, Tsuyama College) |
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| Speaker | Author-1 |
| Date Time | 2018-12-12 17:25:00 |
| Presentation Time | 20 minutes |
| Registration for | COMP |
| Paper # | COMP2018-42 |
| Volume (vol) | vol.118 |
| Number (no) | no.356 |
| Page | pp.69-72 |
| #Pages | 4 |
| Date of Issue | 2018-12-05 (COMP) |
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