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Graph coloring problem is a NP-complete one of graph and combinatorial optimization.

图着色问题是图与组合优化中的一个NP-完全问题。

The graph vertex coloring problem is the main topic of graph theory and applied in many fields, which is known as NP-complete problem.

图顶点着色问题存在于丰富的科学和工程应用中，如工序问题、排课表问题、物资储存问题等等，但它却是众所周知的NP-完全问题。

The paper gives a simulating about a graph with incidence coloring number 6, and obtains the incidence coloring number of the graph.

文中对一个关联色数是6的图进行了仿真，得到了该图的关联色数。

In the third section of this paper, on the comprehensive study of some properties of proper k-vertex-coloring、 k-edge-coloring、 and total-coloring of a graph, the standard genetic algorithm for graph coloring is researched.

在本文的第三章节中，在系统分析了图的正常k－顶点着色、k－边着色和全着色问题的基础上，对基于遗传算法的图的着色问题的求解过程进行了深入的理论分析。

In this paper, the authors transform the problem of undirected graph drawing to the problem of function optimization, then use genetic algorithms to find approximate optimal solutions of the objective function, and thus obtain a general structure of undirected graph drawing algorithms.

将一般无向图的画图问题转化为函数优化问题，用遗传算法求目标函数的最优解的近似值，从而得到无向图自动画图算法的一个一般框架。

For example, different teaching stages, different types of graph of function and different making graph tools have their own merits and demerits, so only by combining advanced teaching means with effective teaching mode can it produce the best teaching result.

因此，先进的教学手段只有和行之有效的教学模式结合起来才能产生最佳的教学效果。

So please confirm the new graph paper and we promise our products are in accordance with the new graph.

请仔细确认新图纸，我们的产品保证和新的图纸一致。

Firstly,this paper proposes the graph with character weights,finds and approves some properties of such a kind of graph.

首先，提出了字符权图的概念，发现和证明了它的一些性质。

The study on graph labeling is one of the most active subjects in graph theory.

中文摘要：图标号研究是图论中比较活跃的领域之一。

This kind of graph formed with nodes and edges is the object that is studied by graph theory.

这种由结点和边构成的图形就是图论研究的对象。

That snake Alaric named Archbishop...

庇护。。。那个毒如蛇蝎的Alaric被命名为大教主。。。

You have done lots of magical things to be amazed at.

你做了很多神奇的事物感到惊讶。