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Paper Abstract and Keywords
Presentation 2019-09-02 10:50
Shortest Universal Sequences of Adjacent Transpositions
Takehiro Ito (Tohoku Univ.), Jun Kawahara, Shin-ichi Minato (Kyoto Univ.), Yota Otachi (Kumamoto Univ.), Toshiki Saitoh (Kyutech), Akira Suzuki (Tohoku Univ.), Ryuhei Uehara (JAIST), Takeaki Uno (NII), Katsuhisa Yamanaka (Iwate Univ.), Ryo Yoshinaka (Tohoku Univ.) COMP2019-10
Abstract (in Japanese) (See Japanese page) 
(in English) Let $S = {s_1,s_2, ... , s_m}$ be a sequence of adjacent transpositions of $[n]={1,2,ldots ,n}$. We denote by $Comp(S) = s_m circ s_{m-1} circ cdots circ s_1$ the composition of transpositions in $S$ from $s_1$ to $s_m$. Let us denote by $Inter(S)$ the set of all the intervals of $S$. We define $Perm(S) = {Comp(S) | S' in Inter(S)}$. Then, we say that $se$ is textit{universal} for Sym([n]) if $Perm(S) = Sym([n])$ holds, where Sym([n]) is the set of the permutations of $[n]$. We consider the problem of finding an universal sequence for Sym([n]) and investigate the length of a shortest universal sequence.
Keyword (in Japanese) (See Japanese page) 
(in English) permutation / adjacent transposition / Universal sequence / / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 191, COMP2019-10, pp. 1-5, Sept. 2019.
Paper # COMP2019-10 
Date of Issue 2019-08-26 (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. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP  
Conference Date 2019-09-02 - 2019-09-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Tsushima Campus, Okayama University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2019-09-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Shortest Universal Sequences of Adjacent Transpositions 
Sub Title (in English)  
Keyword(1) permutation  
Keyword(2) adjacent transposition  
Keyword(3) Universal sequence  
1st Author's Name Takehiro Ito  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Jun Kawahara  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
3rd Author's Name Shin-ichi Minato  
3rd Author's Affiliation Kyoto University (Kyoto Univ.)
4th Author's Name Yota Otachi  
4th Author's Affiliation Kumamoto University (Kumamoto Univ.)
5th Author's Name Toshiki Saitoh  
5th Author's Affiliation Kyushu Institute of Technology (Kyutech)
6th Author's Name Akira Suzuki  
6th Author's Affiliation Tohoku University (Tohoku Univ.)
7th Author's Name Ryuhei Uehara  
7th Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
8th Author's Name Takeaki Uno  
8th Author's Affiliation National Institute of Informatics (NII)
9th Author's Name Katsuhisa Yamanaka  
9th Author's Affiliation Iwate University (Iwate Univ.)
10th Author's Name Ryo Yoshinaka  
10th Author's Affiliation Tohoku University (Tohoku Univ.)
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Date Time 2019-09-02 10:50:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2019-10 
Volume (vol) IEICE-119 
Number (no) no.191 
Page pp.1-5 
#Pages IEICE-5 
Date of Issue IEICE-COMP-2019-08-26 

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