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| 球面和射影平面上不可分地图的色和 | |
| 引用本文： | 李赵祥,任婧,徐世英,刘彦佩.球面和射影平面上不可分地图的色和[J].系统科学与数学,2009,29(7):877-887. |
| 作者姓名： | 李赵祥 任婧 徐世英 刘彦佩 |
| 作者单位： | 1. 中央民族大学数学系,北京,100081 2. 武汉大学经济与管理学院,武汉,430072 3. 北京交通大学数学系,北京,100044 |
| 基金项目： | 国家自然科学基金(10771225)项目资助;国家民委(07ZY04)项目资助和中央民族大学"211"工程三期 |
| 摘 要： | 给出了球面和射影平面上带根不可分地图的色和方程，从色和方程导出了球面和射影平面上带根一般不可分地图、二部地图的计数函数方程. 利用色和理论，研究不同类地图的计数问题，得到了一种研究计数问题的新方法. 此外，还得到了一些计数显示表达式. |
| 关 键 词： | 色和函数 不可分地图 计数函数. |
| 收稿时间： | 2008-9-17 |
CHROMATIC SUMS OF NONSEPARABLE MAPS ON THE SPHERE AND THE PROJECTIVE PLANE |
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| LI Zhaoxiang,REN Jing,XU Shiying,LIU Yanpei.CHROMATIC SUMS OF NONSEPARABLE MAPS ON THE SPHERE AND THE PROJECTIVE PLANE[J].Journal of Systems Science and Mathematical Sciences,2009,29(7):877-887. | |
| Authors: | LI Zhaoxiang REN Jing XU Shiying LIU Yanpei |
| Affiliation: | (1)Department of Mathematics, Central University for Nationalities, Beijing 100081; (2)Economic and Mangement School of Wuhan University, Wuhan 430072; (3)Department of Mathematics, Central University for Nationalities, Beijing 100081; (4)Department of Mathematics, Beijing Jiaotong University, Beijing 100044. |
| Abstract: | In this paper, the chromatic sum function equations is given for rooted nonseparable maps on the sphere and the projective plane. Based on the chromatic sum equations, the enumerating function equations of rooted nonseparable maps, rooted nonseparable bipartite maps on the sphere and the projective plane are derived. By applying the chromatic sum theory, the enumerating problem of different sort of maps can be studied, a new method of enumeration is obtained. Finally, some explicit expressions of enumerating functions are also derived. |
| Keywords: | Chromatic sum function nonseparable maps enumerating function |
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