Dual Loopless Nonseparable Near-Triangulat ions on Projective Plane  

射影平面上的对偶无环不可分近三角剖分地图(英文)

作　　者：李赵祥[1] 刘彦佩[2] 何卫力[2] 

机构地区：[1]中央民族大学数学系,北京100081 [2]北京交通大学数学系,北京100044

出　　处：《Journal of Mathematical Research and Exposition》2005年第4期603-609,共7页数学研究与评论（英文版）

基　　金：NNSF of China(10271048, 60373030)the Tenth Five Year Plan of the 211 Project Foundation of Central University for Nationalities

摘　　要：In this paper we enumerate the rooted dual loopless nonseparable near-triangular maps on the sphere and the projective plane with the valency of root-face and the number of inner faces as parameters. Explicit expressions of enumerating functions are derived for such maps on the sphere and the projective plane. A parametric expression of the generating function is obtained for the rooted 2-connected triangular maps on the projective plane, from which asymptotics evaluations are derived.本文研究了球面和射影平面上对偶无环不可分近三角剖分带根地图的以根面次和内面数为参数的计数问题,得到了这类地图在球面和射影平面上的计数函数满足的方程.还得到了射影平面上2连通地图一个参数的显示表达式和渐近估计式.

关 键 词：dual loopless NONSEPARABLE triangulation. 

分 类 号：P282[天文地球—地图制图学与地理信息工程]