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Paper Abstract and Keywords
Presentation 2026-07-23 16:20
On the graph with the minimum number of vertices with any Chromatic Number and Grundy Number
Hiroshi Tamura (Chuo Univ.), Keisuke Nakano (Niigata Univ.) ICTSSL2026-12
Abstract (in Japanese) (See Japanese page) 
(in English) Channel assignment in wireless communication and the coloring problem in graph theory have long been related, and various research efforts have been made on the subject. Much of this theoretical research has aimed to minimize the number of channels to be assigned, and the number of colors is called the Chromatic Number. In a previous study, the authors focused on coloring that maximizes the number of colors, called Grundy Coloring, estimated the number of channels required, and presented several results. The number of colors in this case is called the Grundy Number. In this paper, we describe how to construct a graph with the minimum number of vertices that satisfies the given Chromatic Number and Grundy Number.
Keyword (in Japanese) (See Japanese page) 
(in English) Wireless communication / Channel assignment / Graph coloring / Chromatic number / Grundy Number / / /  
Reference Info. IEICE Tech. Rep., vol. 126, no. 127, ICTSSL2026-12, pp. 3-6, July 2026.
Paper # ICTSSL2026-12 
Date of Issue 2026-07-16 (ICTSSL) 
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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Conference Information
Committee ICTSSL  
Conference Date 2026-07-23 - 2026-07-24 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ICTSSL 
Conference Code 2026-07-ICTSSL 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the graph with the minimum number of vertices with any Chromatic Number and Grundy Number 
Sub Title (in English)  
Keyword(1) Wireless communication  
Keyword(2) Channel assignment  
Keyword(3) Graph coloring  
Keyword(4) Chromatic number  
Keyword(5) Grundy Number  
Keyword(6)  
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Keyword(8)  
1st Author's Name Hiroshi Tamura  
1st Author's Affiliation Chuo University (Chuo Univ.)
2nd Author's Name Keisuke Nakano  
2nd Author's Affiliation Niigata University (Niigata Univ.)
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Speaker Author-1 
Date Time 2026-07-23 16:20:00 
Presentation Time 25 minutes 
Registration for ICTSSL 
Paper # ICTSSL2026-12 
Volume (vol) vol.126 
Number (no) no.127 
Page pp.3-6 
#Pages 4 
Date of Issue 2026-07-16 (ICTSSL) 

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