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The Enumeration of General Rooted Planar Maps

The Enumeration of General Rooted Planar Maps

作     者:JunLiangCAI YahPeiLIU 

作者机构:DepartmentofMathematicsBeijin9NormalUniversityBeijin9100875P.R.China DepartmentofMathematicsNorthernJiaotongUniversityBeijing100044P.R.China 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:2005年第21卷第1期

页      面:215-224页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Project 10271017 supported by National Natural Science Foundation of China 

主  题:Planar map Functional equation Parametric expression Lagrangian inversion 

摘      要:This paper provides some functional equations satisfied by the generatingfunctions for enumerating general rooted planar maps with up to three parameters. Furthermore, thegenerating functions can be obtained explicitly by employing the Lagrangian inversion. This is alsoan answer to an open problem in 1989.

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