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检索条件"主题词=Planar map"
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The Enumeration of General Rooted planar maps
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Acta Mathematica Sinica,English Series 2005年 第1期21卷 215-224页
作者: JunLiangCAI YahPeiLIU DepartmentofMathematics Beijin9NormalUniversityBeijin9100875P.R.China DepartmentofMathematics NorthernJiaotongUniversityBeijing100044P.R.China
This paper provides some functional equations satisfied by the generatingfunctions for enumerating general rooted planar maps with up to three parameters. Furthermore, thegenerating functions can be obtained explicitl... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Counting Rooted Nearly 2-regular planar maps
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Northeastern Mathematical Journal 2004年 第3期20卷 265-270页
作者: 郝荣霞 蔡俊亮 Department of Mathematics Beijing Jiaotong University Beijing 100044 Department of Mathematics Beijing Normal University Beijing 100875he number of rooted nearly 2-regular maps with the valency of root-vertex the number of non-rooted vertices and the valency of root-face as three parameters is obtained. Furthermore the explicit expressions of the special cases including loopless nearly 2-regular maps and simple nearly 2-regular maps in terms of the above three parameters are derived.
The number of rooted nearly 2-regular maps with the valency of root-vertex, the number of non-rooted vertices and the valency of root-face as three parameters is obtained. Furthermore, the explicit expressions of the ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
THE NUMBER OF ROOTED NEARLY CUBIC C-NETS
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Acta Mathematicae Applicatae Sinica 2001年 第1期17卷 29-37页
作者: 蔡俊亮 刘彦佩 Department of Mathematics Beijing Normal University Beijing China Department of Mathematics Northern Jiaotong University Beijing China
This paper provides the parametric expressions satisfied by the enumerating functions for rooted nearly cubic c-nets with the size and/or the root-vertex valency of the maps as the parameters via nonseparable nearly ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论