Paper Abstract and Keywords |
Presentation |
2010-01-22 13:00
Proposal of A Concept Kernel Set and Its Properties for Vertex Mapping of Isomorphic Graphs Miharu Ukita, Yuki Ikeda, Qi-Wei Ge, Mitsuru Nakata (Yamaguchi Univ.) CST2009-51 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we propose a new concept {\it kernel set} and describe its properties.A kernel set is the minimum set of vertices of a graph $G$ such that, specifying the corresponding relations between these vertices and the vertices of any one of its isomorphous graph, all the correspondence relations of remain vertices can be uniquely determined. We first give the defining of kernel set and show the properties of some specific graphs, such as complete graph, complete bipartite graph, etc.Then we discuss how to find a kernel set of a general graph. Finally, we give an example by applying kernel set to location specific of rescue members when disaster outbreaks occur in the underground. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
graph / isomorphic graph / corresponding vertex pair / kernel set / localization / / / |
Reference Info. |
IEICE Tech. Rep., vol. 109, Jan. 2010. |
Paper # |
|
Date of Issue |
2010-01-14 (CST) |
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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CST2009-51 |
Conference Information |
Committee |
MSS |
Conference Date |
2010-01-21 - 2010-01-22 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Toyota Central R&D Labs. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Embedded System, etc |
Paper Information |
Registration To |
MSS |
Conference Code |
2010-01-CST |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Proposal of A Concept Kernel Set and Its Properties for Vertex Mapping of Isomorphic Graphs |
Sub Title (in English) |
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Keyword(1) |
graph |
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isomorphic graph |
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corresponding vertex pair |
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kernel set |
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localization |
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1st Author's Name |
Miharu Ukita |
1st Author's Affiliation |
Yamaguchi University (Yamaguchi Univ.) |
2nd Author's Name |
Yuki Ikeda |
2nd Author's Affiliation |
Yamaguchi University (Yamaguchi Univ.) |
3rd Author's Name |
Qi-Wei Ge |
3rd Author's Affiliation |
Yamaguchi University (Yamaguchi Univ.) |
4th Author's Name |
Mitsuru Nakata |
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Yamaguchi University (Yamaguchi Univ.) |
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Speaker |
Author-1 |
Date Time |
2010-01-22 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
MSS |
Paper # |
CST2009-51 |
Volume (vol) |
vol.109 |
Number (no) |
no.367 |
Page |
pp.79-84 |
#Pages |
6 |
Date of Issue |
2010-01-14 (CST) |
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