| 平面上一般地图的色和与双色和 |
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| 引用本文： | 李赵祥,刘彦佩.平面上一般地图的色和与双色和[J].数学学报,2004,47(3):487-494. |
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| 作者姓名： | 李赵祥 刘彦佩 |
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| 作者单位： | 1. 中央民族大学数学系,北京,100081
2. 北方交通大学数学系,北京,100044 |
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| 基金项目： | 国家自然科学基金(19831080)，中央民族大学“十五”科研规划资助 |
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| 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。
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| 关 键 词： | 色和与双色和函数 一般地图 计数函数 |
| 文章编号： | 0583-1431(2004)03-0487-08 |
Chromatic and Dichromatic Sums of General Maps on the Plane |
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| Zhao Xiang LI.Chromatic and Dichromatic Sums of General Maps on the Plane[J].Acta Mathematica Sinica,2004,47(3):487-494. |
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| Authors: | Zhao Xiang LI |
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| Institution: | Zhao Xiang LI Department of Mathematics, Central University for Nationalities, Beijing 100081, P. R. China Yan Pei LIU Department of Mathematics, Northern Jiaotong University, Beijing 100044, P. R. China |
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| Abstract: | 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. |
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| Keywords: | Chromatic and dichromatic sum function General maps Enumerating function |
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