journal6 ›› 2008, Vol. 29 ›› Issue (3): 14-16.

• Mathematics • Previous Articles     Next Articles

Enumeration of Rooted Nearly 2-Regular Planar Maps


  1. (Department of Mathematics and Information Science,Changsha University,Changsha 410003,China)
  • Online:2008-05-25 Published:2012-05-23

Abstract: This paper investigates the enumeration of rooted nearly 2-regular planar maps,provides the enumerating equations satisfied by enumerating functions with the valency of root-face,and the number of edges as two parameters.Some explicit expressions of them are also derived.

Key words: rooted nearly 2-regular planar map, enumerating function, enumerating equation, Lagrangian inversion

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