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Paper Abstract and Keywords
Presentation 2019-07-19 10:45
Deriving the Condition of Weighted Random Networks for Wigner Semicircle Law
Yusuke Sakumoto (Kwansei Gakuin Univ.) CQ2019-55
Abstract (in Japanese) (See Japanese page) 
(in English) Spectral graph theory gives an algebraical approach to analyze and design weighted networks with the eigenvalues and eigenvectors of the matrix (e.g., normalized Laplacian Matrix) representing its structure. However, it is difficult for large-scale and complex networks to represents its structure as a matrix. If there is a universality for the eigenvalues, we can avoid the difficulty. In this paper, we introduce the Wigner semicircle law for weighted networks as such a universality, and derive the condition that the eigenvalues of the normalized Laplacian matrix for a weighted network can fulfill the Wigner semicircle law.
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. 125, CQ2019-55, pp. 95-100, July 2019.
Paper # CQ2019-55 
Date of Issue 2019-07-11 (CQ) 
ISSN Print edition: ISSN 0913-5685  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)
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Conference Information
Committee CQ  
Conference Date 2019-07-18 - 2019-07-19 
Place (in Japanese) (See Japanese page) 
Place (in English) Niigata Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Assessment, Measurement and Control of QoE and QoS, etc. 
Paper Information
Registration To CQ 
Conference Code 2019-07-CQ 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Deriving the Condition of Weighted Random Networks for Wigner Semicircle Law 
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 Yusuke Sakumoto  
1st Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
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Date Time 2019-07-19 10:45:00 
Presentation Time 25 
Registration for CQ 
Paper # IEICE-CQ2019-55 
Volume (vol) IEICE-119 
Number (no) no.125 
Page pp.95-100 
#Pages IEICE-6 
Date of Issue IEICE-CQ-2019-07-11 

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