关于双奇异平面地图的计数

The Enumeration of Bisingular Maps

本文讨论了带根双奇异平面地图的计数问题,提供了以根面次、度和内面数为参数及以根面次、奇异边数和自环数为参数的计数函数所满足的计数方程,并且导出了所有的计数显式.

This paper studies the enumeration of bisingular maps,provides the enumerating equations satisfied by enumerating functions with the valency of root-face,the size and the number of inner faces and with the valency of root-face,the numbers of singular edges and loops of the maps as parameters.Moreover,explicit expressions of these functions are also derived.