The purpose of this thesis is to discuss the nonisomorphic rooted maps of given genus, that is, the enumeration of rooted maps which is the basis of the enumeration of maps.

• 本论文主要研究的是给定亏格曲面上的非同构根地图，即所谓的带根地图计数问题(如不特别申明，文中凡提及地图皆指带根地图)。