| 有根无环欧拉地图的数目 |
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| 引用本文： | 蔡俊亮.有根无环欧拉地图的数目[J].应用数学学报,2006,29(2):210-216. |
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| 作者姓名： | 蔡俊亮 |
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| 作者单位： | 北京师范大学数学科学学院,北京,100875 |
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| 摘 要： | 本文首先解决了有根无环欧拉地图依边数的三次计数方程的求解问题,同时提供一种有效的计数方法对先前的一些相关结果及其推导过程进行了必要的改进．
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| 关 键 词： | 一般欧拉地图 无环欧拉地图 计数方程 参数解 显解 |
| 收稿时间： | 2004-02-24 |
| 修稿时间： | 2004-02-24 |
The Number of Rooted Loopless Eulerian Planar Maps |
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| CAI JUNLIANG.The Number of Rooted Loopless Eulerian Planar Maps[J].Acta Mathematicae Applicatae Sinica,2006,29(2):210-216. |
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| Authors: | CAI JUNLIANG |
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| Institution: | School of Mathematical Sciences, Beijing Normal University 100875 |
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| Abstract: | In this paper the problem of finding cubic enumerating equations for the rooted loopless Eulerian planar maps with the size as a parameter could be solved firstly, and in the same time a effective enumerating way to improve greatly some enumerating results and its process could be provided. |
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| Keywords: | general Eulerian map loopless Eulerian map enumerating equation parametric expression explicit formula |
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