这就是图的嵌入亏格分布问题。
This is the problem of embedding genus distribution for a graph.
最大亏格、上可嵌入是图论中的两个重要概念。
Maximum genus and upper embeddable are two important conceptions in graph theory.
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.
本文研究属第一个方面，即研究图的嵌入的最大亏格问题。
There are two fields in topological graph theory: one is the study of the properties of graph embedding.
首次在射影坐标系下对亏格为3的超椭圆曲线密码体制推导了无需求逆的明确公式。
For the first time, the inversion-free explicit formulae are derived for genus 3 HECC in projective coordinate system.
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.
通过该模型反衍出了泾河流域潜在植被指数，提出以该指数为基础的植被冗亏格局的评价新方法。
Based on this model, we reversely deduced the potential vegetation index of Jinhe River Basin and proposed.
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.
本文利用刘彦佩提出的嵌入的联树模型，得出了两类新的四正则图的完全亏格多项式，并推导出已有结果的两类图的完全亏格多项式。
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.
将亏格为零的三维模型进行球面参数化的方法大致可以分成3类：(1)基于累进网格的方法(2)球面松弛的方法(3)保角参数化方法。
These methods can be divided into three: (1) method based on progressive mesh (2) method based on sphere relaxation (3) conformal method. The three methods have their own advantages and shortcomings.
将亏格为零的三维模型进行球面参数化的方法大致可以分成3类：(1)基于累进网格的方法(2)球面松弛的方法(3)保角参数化方法。
These methods can be divided into three: (1) method based on progressive mesh (2) method based on sphere relaxation (3) conformal method. The three methods have their own advantages and shortcomings.
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