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Paper Abstract and Keywords
Presentation 2019-10-17 10:00
Graph coloring considering release of communication channels and the upper bounds of the number of channels
Hiroshi Tamura, Hiromu Narita (Chuo Univ.), Keisuke Nakano (Niigata Univ.) ICTSSL2019-16 IN2019-30
Abstract (in Japanese) (See Japanese page) 
(in English) The relation of channel assignment problems in wireless communications and coloring problems of graph theory is well-known. A channel in the wireless communication is corresponding to a color assigned to a vertex (an edge) in a graph. It is popular to minimize the number of colors assigned to vertices of the graph. However, the maximum number of colors called Grundy Number is also important. In the previous study, we show the upper bounds of colors assigned to some graphs. In the previous paper, we showed the realization of Grundy number on minimizing the number of vertices or edges of graphs. The authors also defined matching coloring, which is one of edge coloring, and show the relationship with channel assignment in wireless communication. In this paper, we discuss the properties of Grundy Coloring in matching coloring and the realization of Grundy Number.
Keyword (in Japanese) (See Japanese page) 
(in English) Wireless communication / Channel assignment / Graph coloring / Grundy coloring / Matching coloring / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 226, ICTSSL2019-16, pp. 1-4, Oct. 2019.
Paper # ICTSSL2019-16 
Date of Issue 2019-10-10 (ICTSSL, IN) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 IN  
Conference Date 2019-10-17 - 2019-10-18 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To ICTSSL 
Conference Code 2019-10-ICTSSL-IN 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Graph coloring considering release of communication channels and the upper bounds of the number of channels 
Sub Title (in English)  
Keyword(1) Wireless communication  
Keyword(2) Channel assignment  
Keyword(3) Graph coloring  
Keyword(4) Grundy coloring  
Keyword(5) Matching coloring  
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1st Author's Name Hiroshi Tamura  
1st Author's Affiliation Chuo University (Chuo Univ.)
2nd Author's Name Hiromu Narita  
2nd Author's Affiliation Chuo University (Chuo Univ.)
3rd Author's Name Keisuke Nakano  
3rd Author's Affiliation Niigata University (Niigata Univ.)
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Speaker Author-1 
Date Time 2019-10-17 10:00:00 
Presentation Time 25 minutes 
Registration for ICTSSL 
Paper # ICTSSL2019-16, IN2019-30 
Volume (vol) vol.119 
Number (no) no.226(ICTSSL), no.227(IN) 
Page pp.1-4 
#Pages
Date of Issue 2019-10-10 (ICTSSL, IN) 


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