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Paper Abstract and Keywords
Presentation 2017-08-10 16:30
Rethinking the Meaning of Eigenvector Centrality Based on the Scaled Laplacian Matrix
Chisa Takano (Hiroshima City Univ.), Masaki Aida (Tokyo Metropolitan Univ.) CCS2017-12
Abstract (in Japanese) (See Japanese page) 
(in English) When we analyze the dynamics on the social media network, it is important to evaluate the strength of the activity of each node quantitatively, and a node centrality is known as an index which expresses such strength. Various node centralities have been proposed according to different criterion what characterize an important node. For example, there are the degree centrality, the betweenness centrality, the PageRank and the eigenvector centrality. We discussed generally extension of node centralities which can express different node centralities (degree and betweenness centralities) in a common framework using spectral graph theory. This paper focuses on the eigenvector centrality on which the PageRank is based and shows that its index may not turn out natural results which are acceptable intuitively. In addition, we reveal that the eigenvector centrality of an undirected graph corresponds to the PageRank of another directed graph by considering this fact in a framework of spectral graph theory, and elucidate relations between the eigenvector centrality and the PageRank.
Keyword (in Japanese) (See Japanese page) 
(in English) network analysis / eigenvector centrality / Laplacian mat / / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 173, CCS2017-12, pp. 13-18, Aug. 2017.
Paper # CCS2017-12 
Date of Issue 2017-08-03 (CCS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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 CCS  
Conference Date 2017-08-10 - 2017-08-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Bibai Onsen Yu-rinkan 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Network Science, etc. 
Paper Information
Registration To CCS 
Conference Code 2017-08-CCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Rethinking the Meaning of Eigenvector Centrality Based on the Scaled Laplacian Matrix 
Sub Title (in English)  
Keyword(1) network analysis  
Keyword(2) eigenvector centrality  
Keyword(3) Laplacian mat  
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1st Author's Name Chisa Takano  
1st Author's Affiliation Hiroshima City University (Hiroshima City Univ.)
2nd Author's Name Masaki Aida  
2nd Author's Affiliation Tokyo Metropolitan University (Tokyo Metropolitan Univ.)
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Speaker Author-1 
Date Time 2017-08-10 16:30:00 
Presentation Time 30 minutes 
Registration for CCS 
Paper # CCS2017-12 
Volume (vol) vol.117 
Number (no) no.173 
Page pp.13-18 
#Pages
Date of Issue 2017-08-03 (CCS) 


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