1) Heegaard genus
Heegaard亏格
1.
On a class of Heegaard genuses of self-amalgamated 3-manifolds;
关于一类自融合三维流形的Heegaard亏格
2) genus
[英]['dʒi:nəs] [美]['dʒinəs]
亏格
1.
On 3-connected cubic graphs whose maximum genus attains the lower bound;
关于最大亏格达到下界的三连通三正则简单图(英文)
2.
In this paper,on the basis of joint trees introduced by Yanpei Liu and by dividing the associated surfaces into segments layer by layer,we show that the genus of K5*eK5*e…*eK5 is 「n/2」, where n is the number of K5.
3)的亏格为「n/2﹁。
3.
At the basis of joint trees introduced by Yanpei Liu, by using the method which sorts the embedding surfaces of these graphs,the genus distribution of the orientable embeddings for a type of new graphs are provided.
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。
3) Genus 2
亏格2
4) genus distribution
亏格分布
1.
At the basis of joint trees introduced by Yanpei Liu, by using the method which sorts the embedding surfaces of these graphs,the genus distribution of the orientable embeddings for a type of new graphs are provided.
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。
2.
In this paper,expressions of the genus distribution for certain sets of surfaces are provided.
本文求出了一些曲面集的亏格分布的显式表达式。
3.
In this paper,we obtain the relation of associate surfaces between dipoles and fan graphs by using the joint tree model of a graph embedding introduced by Yanpei Liu,then deduce the genus distribution and total genus distribution of fan graphs from those of dipoles which had been counted,and obtain the numbers of embeddings of fan graph on the nonorientable surfaces of genus 1-4 in .
本文,利用刘彦佩提出的嵌入的联树模型,得到了双极图与扇图的关联曲面之间的关系,进而由已知结论的双极图的亏格分布和完全亏格分布推导出扇图的亏格分布和完全亏格分布,并给出了扇图在亏格为1-4的不可定向曲面上嵌入的个数的显式。
5) maximum genus
最大亏格
1.
Maximum Genus of Graphs Embedded in the Klein Bottle;
嵌入在克莱茵瓶上的图的最大亏格
2.
The maximum genus of two-connected graphs with diameter three;
一类直径为3的2-连通图的最大亏格
6) inner genus
内亏格
1.
A SD-splitting (M;H_1,H_2;F_0) for bordered 3-manifold M is of inner genus 1 if Fo is a punctured torus.
称(M；H_1,H_2；F_0)为内亏格1若F_0为穿孔环面。
补充资料：Heegaard分解
Heegaard分解
Heegaard decomposition
H州笋时分解[H明笋“‘”哪Ilx‘‘拍;介ropa pa36oe-u“el 闭三维流形(thlee~din℃nsiollallnax五自kl)的一个表现，这个三维流形是作为有公共边界的两个三维子流形的并，它们都是环柄体(即具有几个指标l的环柄的三维球).这是由P.Heeg讼川(〔11)在1898年定义的.虽然存在分解三维流形为单片(连通和，分层)的其他更有效的方法，H唤卿川分解仍是在三维流形的研究中最普通的有用工具.每个闭三维流形有一个H峭乒ud分解.对于分解的环柄体，例如可以取流形的某个三角剖分(让诚ngu细如n)的一维骨架的正规邻域和它的余集的闭包.一个环柄体的亏格(环柄的数目)总是与另一个环柄体的亏格相同，并称为Hee罗-axd分解的亏格.同一流形M，的两个Hee笋川分解是等价的，是指其中之一的分界曲面(环柄体的公共边界)可以通过流形M，的某个同胚带到另一个的分界曲面.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条