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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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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) 
Topics (in English)  
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)  
Keyword(1) social network  
Keyword(2) spectral graph theory  
Keyword(3) Laplacian matrix  
Keyword(4) 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  
4th Author's Affiliation Tokyo Metropolitan University (Tokyo Metropolitan Univ.)
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Speaker
Date Time 2015-10-15 10:50:00 
Presentation Time 25 
Registration for NS 
Paper # IEICE-NS2015-89 
Volume (vol) IEICE-115 
Number (no) no.251 
Page pp.13-18 
#Pages IEICE-6 
Date of Issue IEICE-NS-2015-10-08 


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