内无叶的可平面近四角化计数（英文）  

Enumeration of Inner Leafless Planar Near-quadrangulations

作　　者：龙述德[1,2] 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学院,北京100875

出　　处：《数学进展》2017年第4期498-506,共9页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11371133);the Natural Science Foundation Project of CQ(No.cstc2014jcyjA00041,No.cstc2014jcyjA00054);Chongqing Municipal Education Commission(No.KJ1401106)

摘　　要：所有悬挂点都在根面边界的可平面近四角化称为内无叶的.本文研究了内无叶的可平面近四角化的计数并给出了以其根面次、非根点数和内面数为三个参数的一些计数公式.A planar near-quadrangulation with all articulate vertices on the root-face boundary is said to be inner leafless. In this paper we investigate the number of inner leafless planar near-quadrangulations and present some formulae for such maps with up to three pa- rameters： the valency of root-face, the number of non-root vertices and the number of inner faces.

关 键 词：四角化 计数函数 函数方程 拉格朗日反演 

分 类 号：O157.5[理学—数学]