The number of rooted Eulerian planar maps

作     者：CAI JunLiang LIU YanPei 

作者机构：School of Mathematical SciencesLaboratory of Mathematics and Complex SystemsBeijing Normal UniversityBeijing 100875China Department of MathematicsBeijing Jiaotong UniversityBeijing 100044China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2008年第51卷第11期

页      面：2005-2012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：the National Natural Science Foundation of China (Grant No. 10271017) 

主　　题：Eulerian map functional equation Lagrangian inversion 05A15 05C30 

摘      要：In this paper we provide a solution of the functional equation unsolved in the paper, by the second author, On functional equations arising from map enumerations that appeared in Discrete Math, 123: 93-109 (1993). It is also the number of combinatorial distinct rooted general eulerian planar maps with the valency of root-vertex, the number of non-root vertices and non-root faces of the maps as three parameters. In particular, a result in the paper, by the same author, On the number of eulerian planar maps that appeared in Acta Math Sinica, 12: 418-423 (1992) is simplified.