Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (2): 169-174.

• Articles • Previous Articles     Next Articles

COUNTING ROOTED EULERIAN MAPS ON THE PROJECTIVE PLANE

 REN Han, LIU Yan-Pei   

  1. Department of Mathematics, Northern Jiaotong University, Beijing 100044, China
  • Online:2000-04-18 Published:2000-04-18
  • Supported by:

    Supported by NNSFC under Grant No.19831080

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

CLC Number: 

  • 05C99
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