数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (4): 418-423.

• 论文 • 上一篇    下一篇

ON THE NUMBER OF EULERIAN PLANAR MAPS

刘彦佩   

  1. Inst. of Appl. Math., Academia Sinica, Beijing 100080, China
  • 收稿日期:1990-04-05 出版日期:1992-12-25 发布日期:1992-12-25
  • 基金资助:
    Supported by the Italian National Research Council and the National Natural Science Foundation of China.

ON THE NUMBER OF EULERIAN PLANAR MAPS

Liu Yanpei   

  1. Inst. of Appl. Math., Academia Sinica, Beijing 100080, China
  • Received:1990-04-05 Online:1992-12-25 Published:1992-12-25
  • Supported by:
    Supported by the Italian National Research Council and the National Natural Science Foundation of China.

摘要: This paper presents the number of combinatorially distinct rooted Eulerian planar maps with the number of non-root-vertices and the number of non-root-faces as two parameters. The parametric expressions for determining the number in the loopless Eulerian case are also obtained.

Abstract: This paper presents the number of combinatorially distinct rooted Eulerian planar maps with the number of non-root-vertices and the number of non-root-faces as two parameters. The parametric expressions for determining the number in the loopless Eulerian case are also obtained.