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Paper Abstract and Keywords
Presentation 2019-12-13 09:25
A Self-Stabilizing 1-maximal Independent Set Algorithm
Hideyuki Tanaka, Yuichi Sudo (Osaka Univ.), Hirotsugu Kakugawa (Ryukoku Univ.), Toshimitsu Masuzawa (Osaka Univ.), Ajoy K. Datta (UNLV) COMP2019-30
Abstract (in Japanese) (See Japanese page) 
(in English) We consider the 1-maximal independent set (1-MIS) problem: given a connected graph $G=(V,E)$, our goal is to find an 1-maximal independent set (1-MIS) of a given network $G$,
that is, a maximal independent set (MIS) $S ¥subset V$ of $G$
such that $S ¥cup ¥{v,w¥} ¥setminus ¥{u¥}$ is not an independent set for any nodes $u ¥in S$, and $v,w ¥notin S$ ($v ¥neq w$).
We give a silent, self-stabilizing, and asynchronous distributed algorithm to construct 1-MIS on a network of any topology.
We assume the processes have unique identifiers
and the scheduler is unfair and distributed.
The time complexity, i.e., the number of rounds to reach a legitimate configuration in the worst case, of the proposed algorithm is $O(nD)$, where $n$ is the number of processes in the network and $D$ is the diameter of the network.
We use a composition technique called loop composition [Datta, 2017] to iterate the same procedure consistently,
which results in a small space complexity,
$O(¥log n)$ bits per process.
Keyword (in Japanese) (See Japanese page) 
(in English) distributed system / self-stabilizing algorithm / loop composition / 1-maximal independent set / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 340, COMP2019-30, pp. 9-16, Dec. 2019.
Paper # COMP2019-30 
Date of Issue 2019-12-06 (COMP) 
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF COMP2019-30

Conference Information
Committee COMP  
Conference Date 2019-12-13 - 2019-12-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Ikaho Seminar House, Gunma University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2019-12-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Self-Stabilizing 1-maximal Independent Set Algorithm 
Sub Title (in English)  
Keyword(1) distributed system  
Keyword(2) self-stabilizing algorithm  
Keyword(3) loop composition  
Keyword(4) 1-maximal independent set  
1st Author's Name Hideyuki Tanaka  
1st Author's Affiliation Osaka University (Osaka Univ.)
2nd Author's Name Yuichi Sudo  
2nd Author's Affiliation Osaka University (Osaka Univ.)
3rd Author's Name Hirotsugu Kakugawa  
3rd Author's Affiliation Ryukoku University (Ryukoku Univ.)
4th Author's Name Toshimitsu Masuzawa  
4th Author's Affiliation Osaka University (Osaka Univ.)
5th Author's Name Ajoy K. Datta  
5th Author's Affiliation University of Nevada, Las Vegas (UNLV)
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Date Time 2019-12-13 09:25:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2019-30 
Volume (vol) IEICE-119 
Number (no) no.340 
Page pp.9-16 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2019-12-06 

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