Paper Abstract and Keywords |
Presentation |
2021-12-17 12:40
[Short Paper]
A Study on First Passage Time and Cover Time of Non-backtracking Random Walk on a Graph Tetsuya Kawagishi, Jo Hagikura, Ryotaro Matsuo, Hiroyuki Ohsaki (Kwansei Gakuin Univ.) IA2021-41 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Recently, mathematical properties of random walks on a graph have been studied.
Also, several extended models of a simple random walk, such as the non-backtracking random walk, the self-avoiding random walk, and the branching random walk, have been actively studied. The non-backtracking random walk is a simple random walk with a simple mechanism of prohibiting revisits to nodes that have been visited immediately before.
The non-backtracking random walk is known to have better properties than a simple random walk.
However, the effect of graph structure on the properties of the non-backtracking random has not been clarified well.
In this paper, we derive the mean first passage time of the non-backtracking random walk on two types of graphs (i.e., random regular graphs and graphs generated by the configuration model) and the mean cover time of the non-backtracking random walk on random regular graphs.
Furthermore, we analyze the impact of the graph structure on the mean first passage time and the mean cover time of the non-backtracking random walk by several numerical examples. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Random Walk / Mean First Passage Time / Mean Cover Time / Non-backtracking random walk / Random Regular Graph / Configuration Model / / |
Reference Info. |
IEICE Tech. Rep., vol. 121, no. 300, IA2021-41, pp. 56-59, Dec. 2021. |
Paper # |
IA2021-41 |
Date of Issue |
2021-12-09 (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) |
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IA2021-41 |
Conference Information |
Committee |
IN IA |
Conference Date |
2021-12-16 - 2021-12-17 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Higashi-Senda campus, Hiroshima Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Performance Analysis and Simulation, Robustness, Traffic and Throughput Measurement, Quality of Service (QoS) Control, Congestion Control, Overlay Network/P2P, IPv6, Multicast, Routing, DDoS, etc. |
Paper Information |
Registration To |
IA |
Conference Code |
2021-12-IN-IA |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Study on First Passage Time and Cover Time of Non-backtracking Random Walk on a Graph |
Sub Title (in English) |
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Keyword(1) |
Random Walk |
Keyword(2) |
Mean First Passage Time |
Keyword(3) |
Mean Cover Time |
Keyword(4) |
Non-backtracking random walk |
Keyword(5) |
Random Regular Graph |
Keyword(6) |
Configuration Model |
Keyword(7) |
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Keyword(8) |
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1st Author's Name |
Tetsuya Kawagishi |
1st Author's Affiliation |
Kwansei Gakuin University (Kwansei Gakuin Univ.) |
2nd Author's Name |
Jo Hagikura |
2nd Author's Affiliation |
Kwansei Gakuin University (Kwansei Gakuin Univ.) |
3rd Author's Name |
Ryotaro Matsuo |
3rd Author's Affiliation |
Kwansei Gakuin University (Kwansei Gakuin Univ.) |
4th Author's Name |
Hiroyuki Ohsaki |
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Kwansei Gakuin University (Kwansei Gakuin Univ.) |
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Speaker |
Author-1 |
Date Time |
2021-12-17 12:40:00 |
Presentation Time |
15 minutes |
Registration for |
IA |
Paper # |
IA2021-41 |
Volume (vol) |
vol.121 |
Number (no) |
no.300 |
Page |
pp.56-59 |
#Pages |
4 |
Date of Issue |
2021-12-09 (IA) |
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