Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (2): 313-320.

• Articles • Previous Articles    

BISINGULAR MAPS ON SOME SURFACES

 LI Diao-Xiang, LIN Han, LIU Pan-Pei   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    Supported by fifteenth programming of Central Uni-
    versity for Nationalities, NNSFC under Grant No.10271048 and 19831080.

Abstract:

A map is bisingular if each edge is either a loop (This paper only considers
planar loop) or an isthmus (i.e., on the boundary of the same face). This paper studies the
number of rooted bisingular maps on the sphere and the torus, and also presents formulae
for such maps with three parameters: the root-valency,the number of isthmus, and the
number of planar loops.

Key words: Bisingular map;enumerating function;Lagrangian inversion

CLC Number: 

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