Paper Abstract and Keywords |
Presentation |
2013-12-20 11:00
Localization of eigenvector centrality on single-defect networks Hiroki Yamaguchi (Tokyo Inst. of Tech.) COMP2013-41 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We proved that positive eigenvectors of almost all single-defect graphs,
each of them consists of vertices having uniform degree $d$ except one
vertex having degree $c > d$, have localized positive eigenvectors when
$c > d(d-1)$. This directly states that the eigenvector centrality, that
is one measure of importance of nodes on social networks, possibly collapses owing to only one node having reasonably large degree. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Spectral Graph Analysis / Random Graphs / Social Networks / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 113, no. 371, COMP2013-41, pp. 21-26, Dec. 2013. |
Paper # |
COMP2013-41 |
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) |
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COMP2013-41 |
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) |
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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) |
Localization of eigenvector centrality on single-defect networks |
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Keyword(1) |
Spectral Graph Analysis |
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Random Graphs |
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Social Networks |
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1st Author's Name |
Hiroki Yamaguchi |
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Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
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Speaker |
Author-1 |
Date Time |
2013-12-20 11:00:00 |
Presentation Time |
25 minutes |
Registration for |
COMP |
Paper # |
COMP2013-41 |
Volume (vol) |
vol.113 |
Number (no) |
no.371 |
Page |
pp.21-26 |
#Pages |
6 |
Date of Issue |
2013-12-13 (COMP) |
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