亏格

本文利用G的支配数和围长给出了G的Betti亏数ξ（G）的一个上界，从而也给出了最大亏格γM（G）的一个下界，而且它是可达的；

This paper establishes an upper bound on the Betti deficiency ξ( G ) in terms of the dominate number as well as the the girth of G , and thus gives a lower bound on the maximum genus .

根据任意亏格和任意边界的3D网格模型，给出一种网格重建算法。

This paper gives a remeshing algorithm according to an arbitrary genus and boundary3D mesh model .

关于亏格g超椭圆纤维化的奇异纤维的一些组合条件

Some Combinatorial Conditions on the Singular Fibre of a Hyperelliptic Fibration of Genus g

一个图G的亏格分布，可用亏格多项式的形式表征。

The genus distribution of a graph G is denoted by its genus polynomial .

一个图G的亏格多项式表征了图G亏格的亏格分布情况。

The genus polynomial for a graph G shows the genus distribution of the genus of G.

设p是次数为m的不可约C~μ分片代数曲线F的亏格。

+ : Let p be the genus of an irreducible C ? piecewise algebraic curve F with degree m.

高亏格Riemann面上的世界面孤子与自由能

The World Sheet Soliton and free energy on High Genus Riemann Surface

两类广义Petersen图的Euler亏格

The Euler Genera of Two Classes of Generalized Petersen Graphs

这一猜想描绘了奇点Milnor数与几何亏格pg之间的关系。

The problem describes the relations between the Milnor number ^ and the geometric genus pg of the singularities .

高亏格黎曼面上Liouville系统的可积性Ⅰ.经典情形

Integrability of Liouville System on High Genus Riemann Surface . I. Classical Case

当亏格或基域增大时，WeilDescent方法攻击成功的概率趋向于0。

The probability of successful attack by Weil Descent ' tends to 0 with the increase of the genus or the size of base field .

基于纽结K的隧道数、1-桥亏格和h-亏格三个几何不变量之间的这种关系，将S3中的纽结定义为p纽结、q纽结和r纽结三类。

Based on the relations among these geometrical invariants i.e. tunnel number , 1-bridge genus and h-genus of knot K , the knots in S3 are divided into three classes : p knot , q knot and r knot .

对于不可定向曲面上地图的计数，大部分的文献都是集中在小亏格的曲面上，如射影平面，Klein瓶等。

On the enumeration of maps on the nonorientable surfaces , most of literatures concentrated on such surfaces as the projective plane and the Klein bottle .

Harvey证明了在亏格为g，g≥2的可定向闭曲面上，保定向周期自同胚的最大阶是4g+2。

Harvey that the maximal order of an orientation preserving Periodic map on an orientable closed surface of genus g. g ≥ 2 , is 4g + 2 . In this paper , we investigate the uniqueness of such maps .

本文提出一个算法，使用RBF隐式曲面，可以半自动地生成指定亏格的初始曲面，只需要少量的用户操作，对任意多个边界曲线都有效。

We propose an algorithm using RBF implicit surface , which can generate specified genus initial surface semi-automatically , only a small amount of user interaction is needed . Our method is valid for any number of boundary curves .

自从Nordhaus，Stewart和White[1]等引入图的最大亏格以来，图的最大亏格以及图的上可嵌入引起了广泛关注。

Since the introductory investigation of maximum genus by Nordhaus , Stewart and White [ 1 ] , the up-embeddability fo graphs has been paid great attention so far .

Hoffman和Meeks采用增加R3中嵌入极小的Costa曲面的亏格和端点处的法向旋转对称阶数的技巧，构造了R3中一族具有任意高亏格的嵌入极小曲面。

The technique of increasing the genus and symmetry to construct new embedded minimal surfaces in R ~ 3 with arbitrary high genus , was established by Hoffman and Meeks .

其中可定向的曲面称为Seifert曲面，纽结或链环的亏格定义为Seifert曲面的最小亏格。

The orientable surface is named Seifert surface and the genus of knots is defined the minimal genus of the Seifert surface .

本文构造了高亏格紧Riemann面上多极点亚纯λ-微分基的一般表达式，并给出了一般方格上亚纯向量场的代数关系。

The algebras of meromorphic vector fields and the bases of meromorphic λ - differentials with multipoles are constructed explicitly on general genus Riemann surfaces . For Riemann sphere the central extension of the algebra is also given .

讨论亏格为g（>1）的紧Riemann曲面间映射的同伦类中，Teichmüller映射的伸缩商与调和映射的能量间的关系。

The relationship between the Teichm ü ller mapping dilatation and the harmonic map total energy was considered , where the two maps were in the same homotopic class of maps between two compact Riemann surfaces of genus g ( > 1 ) .

研究对任意亏格三维网格表面的滤波。

A new approach for 3D mesh surface filtering is presented .

然后我们对具有任意亏格的影子集合进行计数。

Next we enumerate the number of shadows of arbitrary genus .

基于改进的图形旋转系统的高亏格造型系统

A High Genus Modeling System Based on Improved Graph Rotation System

亏格为4黎曼曲面上循环群作用的拓扑分类

Topological Classification of Cyclic Group Action on Genus 4 Riemann Surface

关于亏格大子零的紧致黎曼曲面上的割迹

Cut Locus on a Compact Riemannian Surface with Positive Genus

基于泊松标量场的任意亏格网格切割

Cutting for Arbitrary Genus Mesh Based on Poisson Scalar Field

这就是图的嵌入亏格分布问题。

This is the problem of embedding genus distribution for a graph .

一类三正则图的嵌入亏格分布

Genus Distribution of Embeddings for A Type of 3-Regular Graphs

图的最大亏格、支配数和围长

Maximum genus , dominate number and girth of a graph

素数域上亏格为3的超椭圆曲线快速算法

Fast Arithmetic of Genus 3 Hyperelliptic Curves over Prime Fields