Paper Abstract and Keywords |
Presentation |
2014-11-20 15:00
Harmonious Coloring of Caterpillars Asahi Takaoka, Shingo Okuma, Satoshi Tayu, Shuichi Ueno (Tokyo Inst. of Tech.) CAS2014-93 MSS2014-57 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The harmonious coloring of a simple graph is a vertex coloring such that adjacent vertices are assigned different colors and each pair of colors appears together on at most one edge. The harmonious chromatic number of a graph is the least number of colors used in such a coloring. The harmonious chromatic number of a path is known, whereas the problem of determining the harmonious chromatic number is NP-hard even for trees with pathwidth at most 2. Hence, we consider the harmonious coloring of trees with pathwidth 1, which are known as caterpillars. This paper shows the harmonious chromatic number of shooting stars and comets, which are ones of the simplest kinds of caterpillar. We also show the upper bound of harmonious chromatic number of 3-regular caterpillars. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Caterpillars / Eulerian trail / Harmonious coloring / Harmonious chromatic number / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 312, CAS2014-93, pp. 57-62, Nov. 2014. |
Paper # |
CAS2014-93 |
Date of Issue |
2014-11-13 (CAS, 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) |
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CAS2014-93 MSS2014-57 |
Conference Information |
Committee |
CAS MSS IPSJ-AL |
Conference Date |
2014-11-20 - 2014-11-21 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Nobumoto Ohama Memorial Hall (Ishigaki island) |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Graph, Petri net, Neural network, and General |
Paper Information |
Registration To |
CAS |
Conference Code |
2014-11-CAS-MSS-AL |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Harmonious Coloring of Caterpillars |
Sub Title (in English) |
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Keyword(1) |
Caterpillars |
Keyword(2) |
Eulerian trail |
Keyword(3) |
Harmonious coloring |
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Harmonious chromatic number |
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1st Author's Name |
Asahi Takaoka |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
2nd Author's Name |
Shingo Okuma |
2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
3rd Author's Name |
Satoshi Tayu |
3rd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
4th Author's Name |
Shuichi Ueno |
4th Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
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Speaker |
Author-1 |
Date Time |
2014-11-20 15:00:00 |
Presentation Time |
20 minutes |
Registration for |
CAS |
Paper # |
CAS2014-93, MSS2014-57 |
Volume (vol) |
vol.114 |
Number (no) |
no.312(CAS), no.313(MSS) |
Page |
pp.57-62 |
#Pages |
6 |
Date of Issue |
2014-11-13 (CAS, MSS) |
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