这就是图的嵌入亏格分布问题。
This is the problem of embedding genus distribution for a graph.
本文求出了一些曲面集的亏格分布的显式表达式。
In this paper, expressions of the genus distribution for certain sets of surfaces are provided.
本论文主要研究了图的最大亏格的下界问题以及有向图类在可定向曲面上嵌入的亏格分布。
In this paper, the lower bound problems of the maximum genus and the genus distributions of digraphs in orientable surfaces are studied.
2003年刘提出的图的联树（1979的文章体现了这种思想）为嵌入亏格分布的研究提供了理论基础。
Liu created joint trees, initiated in his early paper in 1979, of a graph in 2003 which provided a foundation on studying embedding genus distribution.
在刘彦佩提出的联树法的基础上，通过分类一类新图类的可定向嵌入曲面求出了这类图类的可定向嵌入的亏格分布。
In this paper, We obtain the total genus polynomials for two new classes of 4-regular graphs by using the joint tree model of a graph embedding introduced by Yanpei Liu.
在刘彦佩提出的联树法的基础上，通过分类一类新图类的可定向嵌入曲面求出了这类图类的可定向嵌入的亏格分布。
In this paper, We obtain the total genus polynomials for two new classes of 4-regular graphs by using the joint tree model of a graph embedding introduced by Yanpei Liu.
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