数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (3): 282-285.

• 论文 • 上一篇    下一篇

A NOTE ON THE NUMBER OF CUBIC PLANAR MAPS

刘彦佩   

  1. Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China
  • 收稿日期:1989-08-26 出版日期:1992-09-25 发布日期:1992-09-25
  • 基金资助:
    Supported by the National Natural Science Foundation of China.

A NOTE ON THE NUMBER OF CUBIC PLANAR MAPS

Liu Yanpei   

  1. Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China
  • Received:1989-08-26 Online:1992-09-25 Published:1992-09-25
  • Supported by:
    Supported by the National Natural Science Foundation of China.

摘要: This note shows that the number of rooted cubic planar maps (loops and multi-edges are allowed) with 2n-3 non-root-vertices, n ≥ 3, is
i=0n-1(22n-i-1!(2n-i-1)!)/(i!(n-i-2)!n!(n+1)!).

Abstract: This note shows that the number of rooted cubic planar maps (loops and multi-edges are allowed) with 2n-3 non-root-vertices, n ≥ 3, is
i=0n-1(22n-i-1!(2n-i-1)!)/(i!(n-i-2)!n!(n+1)!).