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Paper Abstract and Keywords
Presentation 2018-01-18 12:45
Verification of an Approach to Find Determiner Set of Graphs
Koki Tanaka, Takafumi Goto, Mituru Nakata (Yamaguchi Univ.), Chiranut Sa-ngiamsak (Khon Kaen Univ.), Qi-Wei Ge (Yamaguchi Univ.) MSS2017-51 SS2017-38
Abstract (in Japanese) (See Japanese page) 
(in English) An automorphism of graph G=(V,E) is such a one-to-one correspondence from the vertex set V to itself that adjacency of the vertices are maintained. In general, there are multiple automorphisms for a graph. When a one-to-one correspondence of a subset S of V is decided and meanwhile the adjacency relationship of S is maintained, S is called determiner set of G if the correspondence of all the vertices in V-S is uniquely determined.Also, if no any proper subset of a determiner set S is a determiner set, S is called minimum determiner set. Furthermore, a determiner set S with the smallest number of elements is called a kernel set. In this paper, we verify the restriction of the algorithm to determine whether a given node set is a determiner set. First, definitions and properties related to determiner sets are given. Then our method of judging determiner sets as well as its experimental results are explained. Finally, the discussion is done for the definitions related to symmetric nodes.
Keyword (in Japanese) (See Japanese page) 
(in English) graph / automorphism / determiner set / minimum determiner set / kernel set / symmetric node / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 380, MSS2017-51, pp. 25-30, Jan. 2018.
Paper # MSS2017-51 
Date of Issue 2018-01-11 (MSS, SS) 
ISSN Print edition: ISSN 0913-5685    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 MSS2017-51 SS2017-38

Conference Information
Committee SS MSS  
Conference Date 2018-01-18 - 2018-01-19 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To MSS 
Conference Code 2018-01-SS-MSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Verification of an Approach to Find Determiner Set of Graphs 
Sub Title (in English)  
Keyword(1) graph  
Keyword(2) automorphism  
Keyword(3) determiner set  
Keyword(4) minimum determiner set  
Keyword(5) kernel set  
Keyword(6) symmetric node  
Keyword(7)  
Keyword(8)  
1st Author's Name Koki Tanaka  
1st Author's Affiliation Yamaguchi University (Yamaguchi Univ.)
2nd Author's Name Takafumi Goto  
2nd Author's Affiliation Yamaguchi University (Yamaguchi Univ.)
3rd Author's Name Mituru Nakata  
3rd Author's Affiliation Yamaguchi University (Yamaguchi Univ.)
4th Author's Name Chiranut Sa-ngiamsak  
4th Author's Affiliation Khon Kaen University (Khon Kaen Univ.)
5th Author's Name Qi-Wei Ge  
5th Author's Affiliation Yamaguchi University (Yamaguchi Univ.)
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Speaker Author-1 
Date Time 2018-01-18 12:45:00 
Presentation Time 25 minutes 
Registration for MSS 
Paper # MSS2017-51, SS2017-38 
Volume (vol) vol.117 
Number (no) no.380(MSS), no.381(SS) 
Page pp.25-30 
#Pages 6 
Date of Issue 2018-01-11 (MSS, SS) 

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