| BISINGULAR MAPS ON SOME SURFACES |
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| 作者姓名： | 李赵祥 任韩 刘彦佩 |
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| 作者单位： | [1]DepartmentofMathematics,CentralUniversityforNationalities,Beijing100081,China [2]DepartmentofMathematics,EastChinaNormalUniversity,Shanghai200062,China [3]DepartmentofMathematics,NorthernJiaotongUniversity,Beijing100044,China |
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| 摘 要： | A map is bisingular if each edge is either a loop (This paper only considersplanar loop) or an isthmus (i.e., on the boundary of the same face). This paper studies thenumber of rooted bisingular maps on the sphere and the torus, and also presents formulaefor such maps with three parameters: the root-valency, the number of isthmus, and thenumber of planar loops.
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| 关 键 词： | 双奇异地图 Lagrangian反演 枚举函数 紧流形 |
BISINGULAR MAPS ON SOME SURFACES |
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| Li Zhaoxiang.BISINGULAR MAPS ON SOME SURFACES[J].Acta Mathematica Scientia,2004,24(2):313-320. |
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| Authors: | Li Zhaoxiang |
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| Affiliation: | Li Zhaoxiang Department of Mathematics,Central University for Nationalities,Beijing 100081,China Ren Han Department of Mathematics,East China Normal University,Shanghai 200062,China Liu Yanpei Department of Mathematics,Northern Jiaotong University,Beijing 100044,China |
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| Abstract: | A map is bisingular if each edge is either a loop (This paper only considers planar loop) or an isthmus (i.e., on the boundary of the same face). This paper studies the number of rooted bisingular maps on the sphere and the torus, and also presents formulae for such maps with three parameters: the root-valency, the number of isthmus, and the number of planar loops. |
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| Keywords: | Bisingular map enumerating function Lagrangian inversion |
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