| 几种曲面上的方格和三角格的左右路的计数 |
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| 引用本文： | 蒋乐萍,金贤安.几种曲面上的方格和三角格的左右路的计数[J].数学研究,2011,44(3):257-269. |
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| 作者姓名： | 蒋乐萍 金贤安 |
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| 作者单位： | 厦门大学数学科学学院,福建厦门,361005 |
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| 基金项目： | supported by NSFC(10831001); the Fundamental Research Funds for the Central Universities(2010121007) |
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| 摘 要： | 设G是连通的胞腔嵌入于某闭曲面的图，G的一条左右路是指沿G的边通过交错的选择最左和最右的边作为下一条边走出的一闭途径．本文计数得到了自然嵌入到环面，Klein瓶和射影平面的方格子和三角格子图的左右路数．
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| 关 键 词： | 计数 左右路 格子图 闭曲面 环面链环 |
Enumeration of Left-right Paths of Square and Triangular Lattices on Some Surfaces |
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| Leping Jiang Xian''an Jin.Enumeration of Left-right Paths of Square and Triangular Lattices on Some Surfaces[J].Journal of Mathematical Study,2011,44(3):257-269. |
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| Authors: | Leping Jiang Xian'an Jin |
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| Institution: | Leping Jiang Xian'an Jin (School of Mathematical Sciences,Xiamen University,Xiamen Fujian 361005,P.R.China ) |
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| Abstract: | Let G be a finite connected graph cellularly embedded in a closed surface. A left-right path in the embedded graph G is obtained by walking on edges of G, alternately selecting as next edge the leftmost edge and the rightmost edge. In this paper, we determine numbers of left-right paths of square and triangular lattices embedded in torus, Klein bottle and projective plane in a natural way. |
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| Keywords: | Enumeration Left-right paths Lattices Closed surfaces Torus link |
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