关键词: (rooted)Map, surface, Lagrangian, inversion, enufunction

Abstract:

It is well known that any kind of exact enumerations of rooted maps on non-planar surface is quite difficult. This paper presents a functional equation for rooted Eulerian maps on the projective plane. A parametric expression, through which an exact enumeration by root-valency and the number of edges of maps may be determined, is obtained.

Key words: (rooted)Map, surface, Lagrangian, inversion, enufunction