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Paper Abstract and Keywords
Presentation 2019-09-06 10:05
A Study on Modeling Branching Random Walk on Random Regular Graph
Takuro Mayaguchi, Ryota Sakaguchi, Hiroyuki Ohsaki (Kwansei Gakuin Univ.) IA2019-17
Abstract (in Japanese) (See Japanese page) 
(in English) Several popular problems in information networking and social networking such as search, distribution, and dis- semination can be modeled by random walk of single or multiple agents on a graph. As an approach to remedy the redundancy in multiple random walks, Branching Random Walk (BRW) has been proposed, in which the number of agents of random walks is dynamically changed by the branching-and-aggregation mechanism. An agent starting its walk from an originating node randomly selects b nodes among its neighbor nodes, and it activates those neighbor nodes (branching). If multiple agents simultaneous visit the same node, those agents are unified into a single agent (aggregation). BRW is a relatively new mobility model on a graph. Hence, to the best of our knowledge, understanding of its mathematical properties is quite limited. In this paper, we describe the dynamics of BRW on a random regular graph, and clarify the relation between the branching parameter b and the mean and the distribution of hitting times and the mean cover time.
Keyword (in Japanese) (See Japanese page) 
(in English) Branching Random Walk / Mobility Model on Graph / Dynamical Process / Hitting Time / Cover Time / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 197, IA2019-17, pp. 33-37, Sept. 2019.
Paper # IA2019-17 
Date of Issue 2019-08-29 (IA) 
ISSN 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 IA2019-17

Conference Information
Committee IA  
Conference Date 2019-09-05 - 2019-09-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido Univ. Humanities and Social Sciences Classroom Bldg, W102 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Internet Operation and Management, etc. 
Paper Information
Registration To IA 
Conference Code 2019-09-IA 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Study on Modeling Branching Random Walk on Random Regular Graph 
Sub Title (in English)  
Keyword(1) Branching Random Walk  
Keyword(2) Mobility Model on Graph  
Keyword(3) Dynamical Process  
Keyword(4) Hitting Time  
Keyword(5) Cover Time  
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Keyword(7)  
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1st Author's Name Takuro Mayaguchi  
1st Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
2nd Author's Name Ryota Sakaguchi  
2nd Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
3rd Author's Name Hiroyuki Ohsaki  
3rd Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
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Speaker Author-1 
Date Time 2019-09-06 10:05:00 
Presentation Time 25 minutes 
Registration for IA 
Paper # IA2019-17 
Volume (vol) vol.119 
Number (no) no.197 
Page pp.33-37 
#Pages 5 
Date of Issue 2019-08-29 (IA) 

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