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Bipancyclic properties of Cayley graphs generated by transpositions
http://hdl.handle.net/10228/3253
http://hdl.handle.net/10228/325365092f11-e8e4-468e-bc61-03000321971a
名前 / ファイル | ライセンス | アクション |
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bipancyclic_cayley.pdf (188.6 kB)
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Item type | 学術雑誌論文 = Journal Article(1) | |||||
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公開日 | 2009-12-21 | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
タイトル | ||||||
タイトル | Bipancyclic properties of Cayley graphs generated by transpositions | |||||
言語 | ||||||
言語 | eng | |||||
著者 |
Tanaka, Yuuki
× Tanaka, Yuuki× Kikuchi, Yosuke× Araki, Toru× Shibata, Yukio |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Cycle is one of the most fundamental graph classes. For a given graph, it is interesting to find cycles of various lengths as subgraphs in the graph. The Cayley graph Cay(S_n, S) on the symmetric group has an important role for the study of Cayley graphs as interconnection networks. In this paper, we show that the Cayley graph generated by a transposition set is vertex-bipancyclic if and only if it is not the star graph. We also provide a necessary and sufficient condition for Cay(S_n, S) to be edge-bipancyclic. | |||||
書誌情報 |
Discrete Mathematics 巻 310, 号 4, p. 748-754, 発行日 2010-02-28 |
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出版社 | ||||||
出版者 | Elsevier | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1016/j.disc.2009.09.002 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0012-365X | |||||
著作権関連情報 | ||||||
権利情報 | Copyright © 2009 Elsevier B.V. All rights reserved. | |||||
著作権関連情報 | ||||||
権利情報 | http://www.sciencedirect.com/science/journal/0012365X | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Cayley graph | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Bipancyclicity | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Transposition tree | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
査読の有無 | ||||||
値 | yes | |||||
業績ID | ||||||
0BFC678CFE673A0749257678001D49F4 | ||||||
著者別名 | ||||||
姓名 | 田中, 勇樹 |