带根单行平面地图的计数  

Enumeration of Rooted Unicursal Planar Maps

作　　者：龙述德[1] 蔡俊亮[2] 

机构地区：[1]重庆文理学院数学系,重庆402160 [2]北京师范大学数学科学院,北京100875

出　　处：《数学学报（中文版）》2010年第1期9-16,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10271017)

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.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.

关 键 词：单行平面地图 计数函数 Lagrange反演 

分 类 号：O157.5[理学—数学]