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1·Trapezoidal no volume! It is a planar graph!

梯形没有体积！它是一个平面图形！

2·Most of the two-dimensional models that manage topology are based on the planar graph theory.

大多数操作拓扑结构的二维模型都是基于平面理论的。

3·Using this method can be based on signal spectral analysis method of fault diagnosis into a planar graph recognition.

利用该方法可以将基于信号频谱分析的故障诊断方法转化为平面图形的识别。

4·As for the ramp engineering, the author put forward the difference incremental algorithms for the planar graph gradients.

针对斜坡道工程，提出平面图形梯度差值生长构建算法；

5·By VRML, the users of the World Information Network can view spatial model, without being confined to planar graph, image.

通过VRML，全球信息网的使用者可以观赏到立体空间的模型，而不限于二维空间的图形、影像。

6·The interdependent relationship between the Hamiltonian cycle and 4-colouring of the planar graph in the dual have discussed.

阐明了平图中的H圈与对偶图顶点四着色的依存关系。

7·Secondly, we investigate the list coloring of planar graphs, and give a su? Cientcondition for a planar graph being 3-choosable.

其次，文章研究了平面图的列表着色问题，给出了平面图3 -可选的一个充分条件。

8·The (4,6)-regular maximum planar graph is studied, and its existence condition and construction method are obtained respectively.

本文讨论了（4，6）-正则极大平面图，得到了（4，6）-正则极大平面图的存在条件及构造方法。

9·In this paper, Euler's formula and Handshaking lemma is used to obtain the face chromatic number of a planar graph by solving equations.

本文在前人研究的面着色问题基础上，运用欧拉公式和握手定理通过解方程组得到连通平面图的面色数。

10·The cube formed after cutting one part off the same planar graph in different ways of motion and its method of calculation are introduced.

介绍了同一平面图形按不同方式运动截取一部分形成的立方体的图形及计算方法。