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Paper Abstract and Keywords
Presentation 2009-10-23 13:40
[Invited Talk] Effects of hierarchical structure of complex networks on the measurement of PageRank in the World Wide Web
Naoki Masuda (The Univ. of Tokyo/JST), Yoji Kawamura (JAMSTEC), Hiroshi Kori (Ochanomizu Univ/JST) SR2009-66 AN2009-36 USN2009-39
Abstract (in Japanese) (See Japanese page) 
(in English) Many complex networks found in natural and engineering systems are directed in the meaning that each link has direction. The direction of the link represents the asymmetric relationship between two nodes. For example, the node at the source of a link may control the one at the target of the same link. A representative centrality measure (i.e., importance of nodes) for directed networks is the PageRank used in the search engine of Google. In practice, it is difficult to obtain the exact values of the PageRank because of the huge size of relevant networks and incomplete information about the presence or the absence of nodes and links in networks. We present an approximation scheme for the PageRank in the case in which the network has community structure. Using the so-called matrix-tree theorem, we approximate the PageRank of a node by combining the strength of the node within the module that it belongs to and the strength of the module in the coarse grained global network among modules.
Keyword (in Japanese) (See Japanese page) 
(in English) complex networks / centrality / directed graph / community structure / matrix-tree theorem / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 248, USN2009-39, pp. 77-78, Oct. 2009.
Paper # USN2009-39 
Date of Issue 2009-10-15 (SR, AN, USN) 
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 SR AN USN  
Conference Date 2009-10-22 - 2009-10-23 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Wireless distributed network, etc. 
Paper Information
Registration To USN 
Conference Code 2009-10-SR-AN-USN 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Effects of hierarchical structure of complex networks on the measurement of PageRank in the World Wide Web 
Sub Title (in English)  
Keyword(1) complex networks  
Keyword(2) centrality  
Keyword(3) directed graph  
Keyword(4) community structure  
Keyword(5) matrix-tree theorem  
1st Author's Name Naoki Masuda  
1st Author's Affiliation The University of Tokyo/Japan Science and Technology Agency (The Univ. of Tokyo/JST)
2nd Author's Name Yoji Kawamura  
2nd Author's Affiliation Japan Agency for Marine-Earth Science and Technology (JAMSTEC)
3rd Author's Name Hiroshi Kori  
3rd Author's Affiliation Ochanomizu University/Japan Science and Technology Agency (Ochanomizu Univ/JST)
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Date Time 2009-10-23 13:40:00 
Presentation Time 40 
Registration for USN 
Paper # IEICE-SR2009-66,IEICE-AN2009-36,IEICE-USN2009-39 
Volume (vol) IEICE-109 
Number (no) no.246(SR), no.247(AN), no.248(USN) 
Page pp.103-104(SR), pp.95-96(AN), pp.77-78(USN) 
#Pages IEICE-2 
Date of Issue IEICE-SR-2009-10-15,IEICE-AN-2009-10-15,IEICE-USN-2009-10-15 

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