查询词典 connection graph

XEX ~ Arg min{FIy E ~2} where the upper level is about topological structure optimization(a~ is a topological structure varable), and the lower level is a constrained programming about continuous variable y. 2 Apply graph, the action of permutation group on a graph, equiva- lent class, orbit etc.

取得的主要成果有： 1 依点到集的映射、集值映射、二元映射和分离定理等理论首次建立了具有拓扑结构双层规划的数学模型 min F s.t.x∈X y∈Arg min｛F|y∈Ω｝其上层规划为关于离散变量x的拓扑结构优化，下层规划是关于连续变量的约束规划。

In Chapter 2,we prove that:(1)each planar graph without {4,6,7,9}-cycles is 3-colorable;(2)each planar graph without {4,6,8}-cycles is 3-colorable.

在第二章中，我们证明了以下两个结果：(1)每个不包含{4，6，7，9}-圈的平面图是3-可染色的；(2)每个不包含{4，6，8}-圈的平面图是3-可染色的。

We therefore sometimes refer to a planar embedding of a planar graph as a plane graph.

一个平图G把平面划分成若干个连通区域，这些区域的闭包称为G的面。

Network analysis can be realised by means of the graph structure, and faces management is allowed by the planar characteristic of the graph: for any given oriented arc, there is only one face on the right, and one face on the left.

网络分析可以通过图的结构来实现，同时，图的平面特征允许面的操作：对于任意的有向弧，只有一个面位于它的右边，一个位于左边。

Any graph which can be redrawn in this way without crossings is called a planar graph,such graphs being of the utmost importance in the theory of graphs.

任何能够按这种方式重画为一个没有交叉线的图称为平面图，这种图在图论中极为重要。

Any graph which can be redraen in this way without crossing is called a planar graph,such graphs being of the utmost importance in the theory of graphs.

一个图如果能够按这种方式重画为一个没有交叉线的图成为平面图，这种图在图论中极端重要。

In Chapter 3,we obtain that:(1)each planar graph without 4-cycles is acyclically 6-choosable;(2)each planar graph without 4-cycles and without triangles at dis-tance less than 3 is acyclically 5-choosable.

在第三章中，我们获得了以下两个结果：(1)每个不包含4-圈的平面图是无圈6-可选择的；(2)每个不包含4-圈并且任意两个三角形之间的距离至少是3的平面图是无圈5-可选择的。

A Halin graph is a planar graph consisting of a tree with no vertex of degree two and a cycly connecting the leaves of the tree. We write .

Halin图是一个在平面上由内部点度数大於2的树及连接树的叶子的圈所组成的平面图，我们将Halin图用来表示。

The above representation of a graph is said to be a plane graph .

一个图的如上所述的表示称为一个平面图。

The above repres tation of a graph is said to be a plane graph .

一个图的如上所述的表示称为一个平面图。

I was just taking her hand, to help her out of a car, and I knew it.

我只是握着她的手，扶她下车，但我知道这一切。

China and South Korea have excoriated Japan over its approval of new school books which they say whitewash the atrocities committed during Japanese occupation, and anti-Japanese protests have been held in Chinese cities. The lingering bitterness over Japan's past imperialism still threatens to mar relations between the big East Asian powers

中国和韩国强烈谴责日本通过新的中学历史教科书，他们认为这一教科书掩盖了日本在其占领期间所犯下的残酷暴行，反日抗议活动在中国数座城市发生，历史上日本帝国主义制造的痛楚无法被忘却，这有可能破坏东亚强国间的关系。