摘要
本文研究了平面上一般带根地图的色和与双色和,得到了这类地图的色和与双色和函数方程。从这类地图的色和函数方程,导出了平面上一般无环地图、平面上二部地图和平面上欧拉地图的计数函数方程。还得到了一些计数函数的计数显式。
In this paper, we study the chromatic and dichromatic sum functions of
rooted general maps on the plane. The chromatic and dichromatic sum function equa-
tions of such maps are obtained. From the chromatic sum equation of such maps, the
enumerating function equation of rooted loopless maps, bipatite maps and Eulerian
maps on the plane are also derived. Moreover, some explicit expressions of enumerating
functions are also derived.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2004年第3期487-494,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金(19831080)
中央民族大学"十五"科研规划资助
关键词
色和与双色和函数
一般地图
计数函数
Chromatic and dichromatic sum function
General maps
Enumerating function
