带根近二正则平面地图的计数

journal6 ›› 2008, Vol. 29 ›› Issue (3): 14-16.

带根近二正则平面地图的计数

(长沙大学数学与信息科学系,湖南长沙 410003)

出版日期:2008-05-25 发布日期:2012-05-23
作者简介:龙述德(1972-),男,湖南邵阳人,长沙大学数学与信息科学系讲师,主要从事组合学与图论研究.
基金资助:
国家自然科学基金资助项目(10271017)

Enumeration of Rooted Nearly 2-Regular Planar Maps

(Department of Mathematics and Information Science,Changsha University,Changsha 410003,China)

Online:2008-05-25 Published:2012-05-23

摘要/Abstract

摘要：研究了带根近二正则平面地图的计数问题,提供了以根面次和边数为参数的计数函数所满足的计数方程,并导出了一些计数显式.

关键词： 带根近二正则平面地图, 计数函数, 计数方程, Lagrange反演

Abstract: This paper investigates the enumeration of rooted nearly 2-regular planar maps,provides the enumerating equations satisfied by enumerating functions with the valency of root-face,and the number of edges as two parameters.Some explicit expressions of them are also derived.

Key words: rooted nearly 2-regular planar map, enumerating function, enumerating equation, Lagrangian inversion

龙述德. 带根近二正则平面地图的计数[J]. journal6, 2008, 29(3): 14-16.

LONG Shu-De. Enumeration of Rooted Nearly 2-Regular Planar Maps[J]. journal6, 2008, 29(3): 14-16.

带根近二正则平面地图的计数

Enumeration of Rooted Nearly 2-Regular Planar Maps

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