| 关于广义冬梅地图的计数(英文) |
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| 引用本文： | 龙述德,蔡俊亮.关于广义冬梅地图的计数(英文)[J].数学进展,2012(2):233-240. |
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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： | Supported by NSFC(No.10271017);Chongqing Municipal Education Commission(No. KJ101204) |
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| 摘 要： | 本文提供了广义冬梅地图以根点次,非根点数和内面数为参数的计数函数所满足的一些函数方程,其中有两个为三次方程,并进一步导出了它们的计数显式。
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| 关 键 词： | 广义冬梅地图 计数函数 函数方程 拉格朗日反演 |
Enumeration of Generalized Wintersweets |
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| LONG Shude,CAI Junliang.Enumeration of Generalized Wintersweets[J].Advances in Mathematics,2012(2):233-240. |
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| Authors: | LONG Shude CAI Junliang |
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| Institution: | (2,**) (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: | In this paper the author provides some functional equations satisfied by the enumerating function of generalized wintersweets with the valency of root-vertex,the numbers of inner faces and nonrooted vertices of the maps as three parameters.Two of them are cubic equations.Furthermore,explicit expressions of them are also derived. |
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| Keywords: | generalized wintersweets enumerating function functional equation Lagrangian inversion |
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