平面图的

Several problems on list colorings, including chromatic-choosability of graphs and Ohba's conjecture,-choosability and-edge-choosability of some planar graphs, and unique list colorability of graphs, especially for complete multipartite graphs, have been studied in this thesis.

中文摘要：本文研究列表染色的若干问题，包括图的色-可选择性和Ohba猜想、某些平面图的-可选择性和-边-可选择性，以及图的唯一列表可染性。

The first part includes five sections as follows:§1 Origin and development of the four color problem;§2 Plane graphs and maps;§3 Planarity testing of graphs;§4 Maximal planar graphs;§5 Duality.

他们的基本方法是在所有平面图的可约构形中找出一个不可免的完备集。占旧计算时间12u多个小时。这样的工作量是

Some sufficient conditions for a planar graph to be class 1 are obtained through these bounds of edge number.

给出了平面图为第一类图的边数的一些上界，并给出了平面图为第一类图的一些充分条件。

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。

Herein we give the transfer rule for an equivalent circuit including Warburg impedance as follows: for ...

应用此规则，可以将在一个复数平面图上的研究结果直接用到另一个复数平面图上，因此，变换规则是一种颇为有用的电化学交流阻抗研究的手段。

We apply the results in Chapter 2 to the equitable list coloring of graphs and prove that a graph G is equitably △-choosable if G is a plane graph without i-cycles, 3 ≤ i ≤ 5, or a plane graph without 4-cycles(or 5-cycles) and 6-cycles.

从而得出不含3-圈，4-圈和5-圈的平面图和不含4-圈(或5-圈)和6-圈的平面图GΔ(G≥6均有一个Δ-均匀列表染色。

In this paper, a cube is used to denote the data-source of the video, with the interaction of the mouse, a large infinite imagined-plane is daggled to cut the cube in any directions, then it gets a cut-plane; After calculating the discrete points of the plane, the points can then be indexed to get the RGB value of the original points in the video-cube, to show the plane in the form of 2D instead of 3D.

用一个立方体表征视频帧序列数据在空间的存在形式，通过拖曳鼠标的交互作用，拖动一个假想的无限大平面任意切割该立方体，获得一个切面片；进而求解该切面片上的离散整数点，再通过这些点去索引视频立方体中对应点的像素颜色值，把该空间切面片以平面图的形式展示给用户。

According to geometry and mechanical distortion principle, a computer simulation and visualization technique is developed, which uses 2D seismic interpretative profile, tectonic plan map, sedimentary facies map and well log sheet to generate 3D tectonic-stratigraphic framework of basin, and also to establish spatial information system of real 3D digital basin.

根据几何学和机械变形原理，在具有自主知识产权的GeoView三维可视化地学信息系统平台上，研发出了通过二维地震解释剖面图、构造平面图、沉积相平面图和钻井柱状图生成真三维盆地构造－地层格架的计算机模拟和可视化技术，以及建立三维数字盆地的空间信息系统技术。

A series of computer vision algorithms applied in the research is developed. The formation of gray level image and digital image are described. An image enhancement algorithm based on the histogram transformation is developed to improve the sight effect. A fast edge detector with simple structure is designed. A Laplacian-of-Gaussian filter is designed to simulate the visual properties of the human eyes. A corresponding edge detecting template is presented and the detecting results are discussed.

建立了道路交通事故现场勘察的计算机视觉实用系统，设计了功能较为完善的软件操作系统，设计制造了现场测量用的标定装置，分析了保证测量精度的技术方法，通过室外测量获得了相对误差为千分之八的测量精度；完成了符合国家标准要求的事故报告和事故现场平面图的输出，并利用开发的实用系统对实际现场进行了测量和分析。

The discovery of stem flatfish with incomplete orbital migration refutes Goldschmidt's ideas, and demonstrates that "the assembly of the flatfish bodyplan occurred in a gradual, stepwise fashion".

有不完全的眼窝迁移的羽轴型比目鱼的发现，驳倒了高尔德施密兹的观点，并且表明&比目鱼身体平面图的装配，是以一个渐进的、逐步的方式发生&。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。