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.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
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)