图着色

In this paper,we proved that the total chromatic number and adjacent strong edge chromatic number of Cartesian product graph of cycle Cm and cycle C5n.

如果在一个图的正常边着色中，相邻两点关联的边集所着的颜色集合不同，则称此正常边着色为相邻强边着色。

To resolve the algorithm of the chromatic number of a graph,a special method is adopt to remember the coloring process of graph,and the method does different jobs for four given cases during the coloring process.The adjacent strong edge chromatic number of join graph of star and path is obtained.

为了解决图的邻强边染色问题中一个图的色数算法问题，通过特别的方法来记图的染色过程，同时分4种情况讨论了星和路联图的邻强边染色问题，指出在染色过程中给定的4种情况的染色方法各不相同，并通过对图的着色得到了星和路联图的邻强边色数。

A lot of experts and investigators who are domestic and overseas give researches and discusses about it, it can be expressed as a bipartite graph edges coloring problem under a certain constraints condition.

国内外的许多学者对它进行了研究和讨论，在某些限制条件下，可以表述为二部图的边着色问题，但通常比着色问题复杂。

The course contains four sections as follows: mathematical logic (including basic concepts of propositional logic and predicate logic, propositional calculuses and inference theories), set theory (including set algebras, relations, functions and cardinal numbers), algebraic structure (including algebraic systems, semigroups and groups, rings and fields, lattices and Boolean algebras), graph theory (including basic concepts of graph, Euler graphs and Hamiltonian graphs, trees, planar graphs and coloring graphs, some special vertex subsets and edge subsets).

本课程包含四部分内容：数理逻辑（包含命题逻辑与一阶逻辑的基本概念、等值演算以及推理理论），集合论（包含集合代数、二元关系、函数和基数），代数结构（包含代数系统、半群与群、环与域、格与布尔代数），图论（包含图的基本概念、欧拉图与哈密顿图、树、平面图及图的着色、图的某些特殊的顶点子集与边子集）。

In the paper, the author did some research on the Graphical Model Platform of MGMS, the subsystem of MGMS. The GMP mainly has four functions as follows. The first aspect is the drawing function of micro-grid power system, including drawing power equipment, selecting power equipment and delete power equipment etc. The second aspect is the function of modifying parameters of power equipment. The third aspect is the function of topology automatic identification of the power system. The last aspect is advanced application function of GMP, including topology analysis and the real-time monitoring of the micro-grid power system which is in operation.

GMP主要要实现以下四个方面的功能：首先是设备绘图功能，包括鼠标绘制设备图元、鼠标选中设备图元、删除设备图元等基本的人机交互绘制微电网接线图功能；其次是修改已建设备的属性；再有是建立与建立的图形系统一致的电力系统网络模型，即对已绘图形的网络拓扑自动识别；最后是在此基础上的高级应用功能，包括电力系统网络拓扑的着色分析和运行数据的实时显示功能。

This paper studies the referee assignment in the course of a single-recycling game by means of theory of edge-colouring and total colouring of graph and gives the optimal results.

应用图的边着色和全着色理论，研究了赛程中的单循环比赛的裁判分派问题，给出了最优分派结果。

The thesis put forward a arrangement algorithm of examinatorial course based on sequential coloring algorithm which using the knowledge of array and structural linked list in C++ language ,combining the sequential coloring algorithm in graph theory to solve the conflict in arranging the examination course.

论文运用C++语言中的数组和链表结构的相关知识，结合《图论及其算法》中的顺序着色算法，提出了一种基于顺序着色算法的考试课程安排算法。

E. , considering solar radiation, scattering, absorption, reflection and diffusion of light wave in the atmosphere, reflection and interreflection of the object surface, image rendering, and photorealistic image synthesis in the raster screen. The research has the merits of validity of theory and practicability of the model.

本文综合了太阳能、辐射传输、光照模拟、图形着色和图象合成等方面的研究成果，建立光照变化与景物成像之间的定量关系，完成从光源分析到图像合成整个流程的工作，即太阳辐射、光波在大气层中的散射、吸收、反射和漫射、对物体表面的反射和互反射进行分析和着色、最后在屏幕上合成人眼应该看到的真实图像。

The simplest method is: fengshuitheory contancts opinins scawn dakrūr innovativeink squeege 细度仪 m,②a in the blade slots 90 degrees, from top to bottom quickly strickle, ink or interrupt a stain, lidamycin less than 100%, which is description of the ink business card printing and membership card making and putting it in poor or bad, on the mechanism of cards and membership cards when is not a business card printing and membership card making pictures and texts to tail, is liable to occur porphyritic dry skin and so on. B.sharp opinins scawn dakrūr innovativeink m macherent mbuttondown 65×195mm covers the use of Pap smear 25 degrees, from top to bottom quickly off, if the surface covers 样纸 colors can not reach saturation, MCC is to prove that they are not up to business card printing and membership card to make the business card printing and membership card making suitable to their needs, and easy-to-floating;(5) to prevent flooding, and sags, settlement.

最简独的认不退办法是：A、存0.1克油不朱滴在刮板细度仪槽洋，持刮刀90度，从上至下迟缓刮上去，如果油不朱不断或洋断则表明着色辛达不到100%，即表明油不朱的制卡和会员卡制息适性不不不不不差或太不不不不不差，上机制卡和会员卡制息时不是制卡和会员卡制息图文拖尾，不离是难呈现枯皮斑状等。B、存0.1克油不朱滴在65×195mm晒图原纸不下方，持刮片25度，从上到下迟缓刮下，如果晒图样纸的暗不天颜料达不到饱和度，则表明其着色辛达不到制卡和会员卡制息的给求，即制卡和会员卡制息适性不不不不不差，并难浮色发花；（5）能制止浮色、不源挂、沉降成果。

So do the pore density and size in pattern area. Electrolytic coloring metal interlinks and piles up in the micropores of pattern area and makes color deep. The oxide film of pattern area is thicker than that of pattern-free area.

这样，在电解着色时，着色金属以胶体Ag及其氧化物Ag〓O胶团在图纹处氧化膜的微孔上相互交连，形成较大的胞状物，从而在图纹处呈现出较深的色彩。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。