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Paper Abstract and Keywords
Presentation 2017-07-13 15:45
Phase Transition in Network Connectivity Robustness against Stochastic Node Removal
Satoshi Takabe, Takafumi Nakano, Tadashi Wadayama (NITech) IT2017-25
Abstract (in Japanese) (See Japanese page) 
(in English) Recently, a reliability analysis on network connectivity against stochastic node removal is introduced by Nozaki et al. as a theoretical model of network reliability. The theoretical model can be seen as an abstraction of wireless sensor networks with unreliable relay nodes. In this paper, the ensemble average of a breakdown probability is evaluated based on a mean-field analysis that is a versatile analytical tool in network science and statistical physics. The breakdown probability is the probability that an induced subgraph caused by stochastic node removal is connected. Asymptotic analyses of the breakdown probability predict the existence of phase transition where the probability changes from zero to one in the large-system limit. Our analysis relies on an unproved assumption, i.e., a locally tree-like structure of random graphs. However, the results of our analysis are consistent with a rigorous result by Nozaki et al. and show excellent agreement with the results of computer experiments when the size of graphs is sufficient large.
Keyword (in Japanese) (See Japanese page) 
(in English) random graph / connectivity / phase transition / belief propagation / cavity method / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 120, IT2017-25, pp. 49-54, July 2017.
Paper # IT2017-25 
Date of Issue 2017-07-06 (IT) 
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)
Download PDF IT2017-25

Conference Information
Committee IT  
Conference Date 2017-07-13 - 2017-07-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Chiba University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) freshman session, general 
Paper Information
Registration To IT 
Conference Code 2017-07-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Phase Transition in Network Connectivity Robustness against Stochastic Node Removal 
Sub Title (in English)  
Keyword(1) random graph  
Keyword(2) connectivity  
Keyword(3) phase transition  
Keyword(4) belief propagation  
Keyword(5) cavity method  
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1st Author's Name Satoshi Takabe  
1st Author's Affiliation Nagoya Institute of Technology (NITech)
2nd Author's Name Takafumi Nakano  
2nd Author's Affiliation Nagoya Institute of Technology (NITech)
3rd Author's Name Tadashi Wadayama  
3rd Author's Affiliation Nagoya Institute of Technology (NITech)
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Speaker Author-1 
Date Time 2017-07-13 15:45:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2017-25 
Volume (vol) vol.117 
Number (no) no.120 
Page pp.49-54 
#Pages 6 
Date of Issue 2017-07-06 (IT) 

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