| 带根单行平面地图的计数 |
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| 引用本文： | 龙述德,蔡俊亮.带根单行平面地图的计数[J].数学学报,2010,53(1):9-16. |
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| 作者姓名： | 龙述德 蔡俊亮 |
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| 作者单位： | 重庆文理学院数学系;北京师范大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10271017) |
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| 摘 要： | 提供了根点为一个奇点的带根单行平面地图以其边数、根点次和非根奇点次为参数的生成函数所满足的一些函数方程,并且导出了这些函数的显式,它们有两个是无和式.
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| 关 键 词： | 单行平面地图 计数函数 Lagrange反演 |
| 收稿时间： | 2008-04-11 |
| 修稿时间： | 2008-11-04 |
Enumeration of Rooted Unicursal Planar Maps |
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| Shu De LONG.Enumeration of Rooted Unicursal Planar Maps[J].Acta Mathematica Sinica,2010,53(1):9-16. |
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| Authors: | Shu De LONG |
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| Institution: | 1. Department of Mathematics, Chongqing University of Arts and Sciences, Chongqing 402160, P. R. China;
2. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China |
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| Abstract: | This paper provides some functional equations satisfied by the generating functions for unicursal planar maps rooted in a vertex of odd valency with the number of edges,the valencies of rooted vertex and nonrooted odd-valent vertex of the maps as three parameters.Moreover,explicit expressions of these functions are also derived. Two of them is summation-free. |
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| Keywords: | unicursal planar map enumerating function Lagrangian inversion |
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