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Paper Abstract and Keywords
Presentation 2021-09-08 10:30
Random Walk on Graphs with Vicinity Avoidance
Keita Kitaura, Ryotaro Matsuo, Hiroyuki Ohsaki (Kwansei Gakuin Univ.) IA2021-16
Abstract (in Japanese) (See Japanese page) 
(in English) A random walk on a graph is a mathematical mobility model that extends a random walk on a line or a plane to a graph. In recent years, several researches on random walks on a graph have been actively conducted, such as analyses of mathematical properties of a discrete random walk on a graph and its application to large-scale network exploration. The random walk on a graph has strong locality such that a mobile agent is likely to visit the same node multiple times in a short period of time. If the locality of the random walk on a graph can be mitigated, it is expected that the properties of the random walk (e.g., the average first passage time and the average cover time) can be improved. In this paper, we propose the Vicinity-Avoiding Random Walk, a mobility model based on the random walk with less locality without requiring a large amount of storage in the mobile agent. In addition, we investigate how much the Vicinity-Avoiding Random Walk reduces the average first passage time and the average cover time, which are typical measures of random walks, compared to the simple random walk and the non-backtracking random walk, through simulation experiments. We also analiticaliy investigate the effectiveness of Vicinity-Avoiding Random Walk in comparison with a similar method, non-backtracking random walk in terms of the average first passage time in graphs with community structure. Furthermore, we will also investigate the impact of the community structure of a graph on random walks through a numerical example as well as the validity of our analysis.
Keyword (in Japanese) (See Japanese page) 
(in English) Random Walk / Locality / Average first passage time / Average cover time / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 167, IA2021-16, pp. 7-13, Sept. 2021.
Paper # IA2021-16 
Date of Issue 2021-09-01 (IA) 
ISSN 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)
Download PDF IA2021-16

Conference Information
Committee IA  
Conference Date 2021-09-08 - 2021-09-08 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Internet Operation and Management, etc. 
Paper Information
Registration To IA 
Conference Code 2021-09-IA 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Random Walk on Graphs with Vicinity Avoidance 
Sub Title (in English)  
Keyword(1) Random Walk  
Keyword(2) Locality  
Keyword(3) Average first passage time  
Keyword(4) Average cover time  
1st Author's Name Keita Kitaura  
1st Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
2nd Author's Name Ryotaro Matsuo  
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 2021-09-08 10:30:00 
Presentation Time 25 minutes 
Registration for IA 
Paper # IA2021-16 
Volume (vol) vol.121 
Number (no) no.167 
Page pp.7-13 
Date of Issue 2021-09-01 (IA) 

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