講演抄録/キーワード |
講演名 |
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 |
抄録 |
(和) |
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. |
(英) |
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. |
キーワード |
(和) |
Caterpillars / Eulerian trail / Harmonious coloring / Harmonious chromatic number / / / / |
(英) |
Caterpillars / Eulerian trail / Harmonious coloring / Harmonious chromatic number / / / / |
文献情報 |
信学技報, vol. 114, no. 312, CAS2014-93, pp. 57-62, 2014年11月. |
資料番号 |
CAS2014-93 |
発行日 |
2014-11-13 (CAS, MSS) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
PDFダウンロード |
CAS2014-93 MSS2014-57 |
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