Enumeration of loopless maps on the projective plane

被引：0

作者：

Li Z. ^{[1
]}

Liu Y. ^{[1
]}

机构：

[1] Institute of Mathematics, Northern Jiaotong University

来源：

Journal of Applied Mathematics and Computing | 2002年 / 10卷 / 1-2期

关键词：

Asymptotic evaluations; Enumerating function; Loopless maps;

D O I：

10.1007/BF02936213

中图分类号：

学科分类号：

摘要：

In this paper we study the rooted loopless maps on the sphere and the projective plane with the valency of root-face and the number of edges as parameters. Explicit expression of enumerating function is obtained for such maps on the sphere and the projective plane. A parametric expression of the generating function is obtained for such maps on the projective plane, from which asymptotic evaluations are derived.

引用

页码：145 / 155

页数：10

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