Paper Abstract and Keywords |
Presentation |
2017-03-16 15:05
On Decision of Determiner Set of Graphs Takafumi Goto, Mitsuru Nakata, Qi-Wei Ge (Yamaguchi Univ.) MSS2016-85 |
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 ismaintained, then if the correspondence of all the vertices in V-S is uniquely determined, then S is called determiner set of G. Also, if no any proper subset of determiner set S is a determiner set, S is called minimum determiner set. Furthermore, determiner set S with the smallest number of elements is called kernel set. In this paper, as a preliminary stage of solving the kernel set decision problem, we aim to judge whether a given vertex set is a determiner set or not in polynomial time. We firstly give definitions related to determiner set and then show the properties and judgment method related to determiner set. Finally, we apply our judgment method to a sample graph and discuss the usefulness of our method. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
graph / automorphism / determiner set / minimum determiner set / kernel set / / / |
Reference Info. |
IEICE Tech. Rep., vol. 116, no. 525, MSS2016-85, pp. 23-28, March 2017. |
Paper # |
MSS2016-85 |
Date of Issue |
2017-03-09 (MSS) |
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 |
MSS2016-85 |
Conference Information |
Committee |
MSS |
Conference Date |
2017-03-16 - 2017-03-17 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Shimane Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
MSS |
Conference Code |
2017-03-MSS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
On Decision of 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) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Takafumi Goto |
1st Author's Affiliation |
Yamaguchi University (Yamaguchi Univ.) |
2nd Author's Name |
Mitsuru Nakata |
2nd Author's Affiliation |
Yamaguchi University (Yamaguchi Univ.) |
3rd Author's Name |
Qi-Wei Ge |
3rd Author's Affiliation |
Yamaguchi University (Yamaguchi Univ.) |
4th Author's Name |
|
4th Author's Affiliation |
() |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2017-03-16 15:05:00 |
Presentation Time |
25 minutes |
Registration for |
MSS |
Paper # |
MSS2016-85 |
Volume (vol) |
vol.116 |
Number (no) |
no.525 |
Page |
pp.23-28 |
#Pages |
6 |
Date of Issue |
2017-03-09 (MSS) |
|