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| Presentation | 2017-03-03 13:20 Experimental Research on the Effect of Adjacency Relationship among Nodes on Eigenvalues of Normalized Laplacian Matrix Ryosuke Sawada, Yusuke Sakumoto (Tokyo Metropolitan Univ.), Chisa Takano (Hiroshima City Univ.), Masaki Aida (Tokyo Metropolitan Univ.)  IN2016-165 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Laplacian matrix is defined by node degrees and adjacency relationships between nodes in a graph, and it is useful to analyze graph structure of networks. Existing studies of Laplacian matrix clarified that the degree distribution of a network has a high similarity to the eigenvalue distribution of its Laplacian matrix. Since degree distribution only contains information of node degree, they did not clarify how the information of adjacency relationship affects the eigenvalues of Laplacian matrix. In our previous study, we analyzed the effect of adjacency relationship between nodes on eigenvalues of Laplacian matrix, but the strong dependence between the node degree and eigenvalue distributions intercepted our analysis. In this paper, we introduce Normalized Laplacian matrix, which Laplacian matrix normalized by node degrees, and experimentally investigate the effect of adjacency relationship between nodes on eigenvalues of Normalized Laplacian matrix. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Network analysis / Spectral graph theory / Laplacian matrix / Normalized Laplacian matrix / Eigenvalue / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 485, IN2016-165, pp. 407-412, March 2017. | |
| Paper # | IN2016-165 | |
| Date of Issue | 2017-02-23 (IN) | |
| 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 | IN2016-165 |
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| Conference Information | |
| Committee | NS IN |
| Conference Date | 2017-03-02 - 2017-03-03 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | OKINAWA ZANPAMISAKI ROYAL HOTEL |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Paper Information | |
| Registration To | IN |
| Conference Code | 2017-03-NS-IN |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Experimental Research on the Effect of Adjacency Relationship among Nodes on Eigenvalues of Normalized Laplacian Matrix |
| Sub Title (in English) | |
| Keyword(1) | Network analysis |
| Keyword(2) | Spectral graph theory |
| Keyword(3) | Laplacian matrix |
| Keyword(4) | Normalized Laplacian matrix |
| Keyword(5) | Eigenvalue |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Ryosuke Sawada |
| 1st Author's Affiliation | Tokyo Metropolitan University (Tokyo Metropolitan Univ.) |
| 2nd Author's Name | Yusuke Sakumoto |
| 2nd Author's Affiliation | Tokyo Metropolitan University (Tokyo Metropolitan Univ.) |
| 3rd Author's Name | Chisa Takano |
| 3rd Author's Affiliation | Hiroshima City University (Hiroshima City Univ.) |
| 4th Author's Name | Masaki Aida |
| 4th Author's Affiliation | Tokyo Metropolitan University (Tokyo Metropolitan Univ.) |
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| Speaker | Author-1 |
| Date Time | 2017-03-03 13:20:00 |
| Presentation Time | 20 minutes |
| Registration for | IN |
| Paper # | IN2016-165 |
| Volume (vol) | vol.116 |
| Number (no) | no.485 |
| Page | pp.407-412 |
| #Pages | 6 |
| Date of Issue | 2017-02-23 (IN) |
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