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Paper Abstract and Keywords
Presentation 2020-01-16 10:50
A Study on the Effect of Triads on the Wigner's Semicircle Law of Weighted Random Networks
Toyoaki Taniguchi, Yusuke Sakumoto (Kwansei Gakuin Univ.) CQ2019-112
Abstract (in Japanese) (See Japanese page) 
(in English) Spectral graph theory is widely used to analyze network characteristics. In spectral graph theory, the network structure is represented by a matrix, and the characteristics are analyzed through the eigenvalues and eigenvectors of the matrix. However, in large-scale and complex networks such as social networks, it is difficult to accurately represent the structure with a matrix. We derived the Wigner semicircle law that appears in the eigenvalue
distribution of the matrix~(the normalized Laplacian matrix) representing the structure of the network, and propose the analysis method to apply the spectral graph theory to social networks. In the proposal, we assumed that each link of the network is connected independently. However, in social networks, there are triads that are formed by link connection that cannot be considered independent, such as becoming a friend by introducing a friend. In this paper, we experimentally investigate the effects of network triads on the Wigner semicircle law, and clarify how effectively the Wigner semicircle law can be used for networks with triads.
Keyword (in Japanese) (See Japanese page) 
(in English) Network Analysis / Spectral Graph Theory / Laplacian Matrix / Random Matrix Theory / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 367, CQ2019-112, pp. 29-34, Jan. 2020.
Paper # CQ2019-112 
Date of Issue 2020-01-09 (CQ) 
ISSN Online edition: ISSN 2432-6380
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 CQ2019-112

Conference Information
Committee CQ CBE  
Conference Date 2020-01-16 - 2020-01-17 
Place (in Japanese) (See Japanese page) 
Place (in English) NHK Science & Technology Research Laboratories 
Topics (in Japanese) (See Japanese page) 
Topics (in English) AR/VR, Broadcasting Service, Video/Voice Services Quality, High Realistic, User Behavior/Psychology, User Experience, Media Quality, Network Quality and QoS Control, Networks and Communications at Disaster, User Behavior, Machine Learning, etc. 
Paper Information
Registration To CQ 
Conference Code 2020-01-CQ-CBE 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Study on the Effect of Triads on the Wigner's Semicircle Law of Weighted Random Networks 
Sub Title (in English)  
Keyword(1) Network Analysis  
Keyword(2) Spectral Graph Theory  
Keyword(3) Laplacian Matrix  
Keyword(4) Random Matrix Theory  
1st Author's Name Toyoaki Taniguchi  
1st Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
2nd Author's Name Yusuke Sakumoto  
2nd Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
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Speaker Author-1 
Date Time 2020-01-16 10:50:00 
Presentation Time 20 minutes 
Registration for CQ 
Paper # CQ2019-112 
Volume (vol) vol.119 
Number (no) no.367 
Page pp.29-34 
Date of Issue 2020-01-09 (CQ) 

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