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THREE-CYCLE REVERSIONS IN ORIENTED PLANAR TRIANGULATIONS
http://hdl.handle.net/10131/5671
http://hdl.handle.net/10131/56716fa3ec12-c96d-4d24-bc32-0b48b052bdec
名前 / ファイル | ライセンス | アクション |
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YMJ_44_N2_1997_123-139.pdf (1.6 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | THREE-CYCLE REVERSIONS IN ORIENTED PLANAR TRIANGULATIONS | |||||
言語 | ||||||
言語 | eng | |||||
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 | departmental bulletin paper | |||||
著者 |
Nakamoto, Atsuhiro
× Nakamoto, Atsuhiro× Ota, Katsuhiro× Tanuma, Takayuki |
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著者所属 | ||||||
Department of Mathematics, Faculty of Education, Yokohama National University, 156 Tokiwadai, Hodogaya-ku, $Yok¥infty$, hama 240, Japan | ||||||
著者所属 | ||||||
Department of Mathematics, Faculty of Scienoe and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223, Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A planar triangulation $G$ is a simple graph embedded in the plane so that each face of $G$ is triangular and that any two faces share at most one edge. A $(*)$ -orientation $D^{*}(G)$ of $G$ is an orientation of $G$ such that the outdegree of each vertex on $¥partial G$ is 1 and that of each vertex not on $¥partial G$ is 3, where $¥partial G$ denotes the outer 3-cycle of $G$ . In this paper, we shall show that for any planar triangulation $G$ , there exists at least one (*)-orientation and that any two $t*$ )$-$ orientations of $G$ can be transformed into each other by a sequenoe of 3-cycle reversions, where the S-cycle reversion is a transformation in an oriented graph which replaces an oriented 3-cycle with the one with the inverse orientation. Finally, we shall show that in order to transform two (*)-orientations of $G$ , we need at most $¥lfloor¥frac{1}{2}n^{2}-5n+¥frac{27}{2}¥rfloor$ 3-cycle reversions, where $n=|V(G)|$ . The order of our estimation cannot be improved. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 44, 号 2, p. 123-139, 発行日 1997 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University and Yokohama National University |