数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (3): 289-294.

• 论文 •    下一篇

ENUMERATING ROOTED EULERIAN PLANAR MAPS

 蔡俊亮, 郝荣霞, 刘彦佩   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, China Department of Mathematics, Northern Jiaotong University, Beijing 100044, China
  • 出版日期:2001-07-06 发布日期:2001-07-06
  • 基金资助:

    Supported by NNSFC (No. 19831080)

ENUMERATING ROOTED EULERIAN PLANAR MAPS

 CAI Jun-Liang, HAO Rong-Xia, LIU Yan-Pei   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, China Department of Mathematics, Northern Jiaotong University, Beijing 100044, China
  • Online:2001-07-06 Published:2001-07-06
  • Supported by:

    Supported by NNSFC (No. 19831080)

PDF (PC)

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摘要：

This paper provides the number of combinatorially distinct general rooted Eulerian planar maps with the number of edges and the valency of rooted vertex of the maps as two parameters. It is also an answer to open problem 7.1 in [1]. Meanwhile, the case of three variables can be derived by using Lagrangian inversion.

关键词: Eulerian map, functional equation, Lagrangian inversion

Abstract:

This paper provides the number of combinatorially distinct general rooted Eulerian planar maps with the number of edges and the valency of rooted vertex of the maps as two parameters. It is also an answer to open problem 7.1 in [1]. Meanwhile, the case of three variables can be derived by using Lagrangian inversion.

Key words: Eulerian map, functional equation, Lagrangian inversion

中图分类号: 

  • 05C45
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