内无叶的可平面近四角化计数（英文）

Enumeration of Inner Leafless Planar Near-quadrangulations

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.