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During the initial partitioning phase of multilevel method, this paper proposed the algorithm of spectral partitioning for weighted undirected graph and gave the Fiedler vector calculation of Laplacian matrix using the Lanczos iteration method.

在多水平方法初始剖分阶段提出了一种基于谱方法的无向赋权图剖分算法SPWUG，给出了基于Lanczos迭代计算Laplacian矩阵次小特征值及特征向量的实现细节。

In this paper, we investigate some basic properties of the noncommuting graph associated with a finite group and their effects on the structure of the group.

本文主要研究了有限群的非交换图的一些基本性质及其对群结构的影响。

In this paper, the FIR low-pass digital filtering method is first introduced for reducing the effects of noise signals in the experiment of velocity measurement of high-temperature flue gas flowing in pipe. The experimental results indicated that, only one peak presents in the cross-correlation graph, which is in good agreement with theoretical analysis result. Secondly, the temperature and pressure pulse signals of the high-temperature flue gas, obtained by thermocouple and pressure sensor, are introduced to explain the applicability of sensor characteristics.

本文介绍在测量管内流动的高温烟气流速的实验中采用FIR低通数字滤波器滤波方法可以排除干扰信号的影响的研究，实验结果证明，经过滤波处理后的信号互相关函数的图形不会出现大小相当的多个峰值，符合理论分析的结果；其次，本文还介绍了用热电偶和压力传感器采集的烟气温度和压力脉动信号，分析了传感器特性对相关测速的适应性。

Isomap is one of the representative techniques of nonlinear dimensionality reduction.It extends classical multidimensional scaling by considering approximate geodesic distance. However,Isomap is sensitive to noise because the approximate geodesic distance is constructed on the basis of Euclidean distance. In this paper,a kernel-induced distance metric defined in the feature space is introduced instead of the Euclidean distance to evaluate the geodesic distance and construct the corresponding neighborhood graph.

采用核方法在特征空间推导出一类异于欧氏距离的新度量，代替等度规特征映射中的对噪声敏感的欧式距离，用新度量构造测地距离和相应的最小近邻图，提高Isomap算法的抗噪声能力。

The construction forms of C 8, Which contained in a geodetic graph, and its secant is obtained in this paper.

给出的是包含圈 C8 的测地图中， C8 和它上的割线构成图的结构形式。

In this paper we conduct a research on the basic theory of genetic algorithm and present some effective algorithms on the graph coloring problem.

本文将对遗传算法的基础理论进行研究，并提出一些有效的算法用于解决图的着色问题。

Taking an issue in graph coloring as a teaching subject,the paper puts forward a feasible concept in the design of HVE mathematical modeling teaching.

该文通过一个图形着色问题作为教学主题，提出一种比较容易实现的高职数学建模的教学设计理念。

Graph coloring is a highly e?ective approach to globalregister allocation. In this paper, we should study priority-based register allocation, whichis a e?

常用的寄存器分配算法是被称作图染色的寄存器分配算法，本文所研究的基于优先级的寄存器分配就是图染色算法的一种。

The problem of fault diagnosis for timed event graph is studied in this paper.

本文提出并研究了基于赋时事件图的故障诊断问题。

Paper using graph theory to the maximum flow and minimum cost flow algorithm transport and logistics issues.

本文主要利用图论的最大流和最小费用流算法解决物流运输问题。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。