Paper Abstract and Keywords |
Presentation |
2015-10-15 10:50
Relationship between Indices of Network Structure and Spectral Distribution of Graphs Ryosuke Sawada, Yusuke Sakumoto (Tokyo Metropolitan Univ.), Chisa Takano (Hiroshima City Univ.), Masaki Aida (Tokyo Metropolitan Univ.) NS2015-89 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Laplacian matrix, which is given by node degrees and adjacency relationships between nodes in a graph, is useful to analyze graph structure of social networks. Existing studies of Laplacian matrix clarified that the degree distribution of a graph has a high similarity to the eigenvalue distribution of its Laplacian matrix.Since degree distribution only contains information of node degrees, they did not clarity how the information of adjacency relationships affects the eigenvalues of Laplacian matrix. This report experimentally investigates the effect of popular measurements (i.e., coefficient and average distances between nodes), which are high related to the information of adjacency relationships, on eigenvalue distribution of the Laplacian matrix. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
social network / spectral graph theory / Laplacian matrix / network measure / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 115, no. 251, NS2015-89, pp. 13-18, Oct. 2015. |
Paper # |
NS2015-89 |
Date of Issue |
2015-10-08 (NS) |
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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NS2015-89 |
Conference Information |
Committee |
NS |
Conference Date |
2015-10-15 - 2015-10-16 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Akita Univ. |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
NS |
Conference Code |
2015-10-NS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Relationship between Indices of Network Structure and Spectral Distribution of Graphs |
Sub Title (in English) |
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social network |
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spectral graph theory |
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Laplacian matrix |
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network measure |
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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 |
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Tokyo Metropolitan University (Tokyo Metropolitan Univ.) |
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Speaker |
Author-1 |
Date Time |
2015-10-15 10:50:00 |
Presentation Time |
25 minutes |
Registration for |
NS |
Paper # |
NS2015-89 |
Volume (vol) |
vol.115 |
Number (no) |
no.251 |
Page |
pp.13-18 |
#Pages |
6 |
Date of Issue |
2015-10-08 (NS) |
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