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The spectral theory of graph is not only an important area in graph theory but also an active topic. There are extensive applications in the fields of quantum chemistry, physics, computer science, communication network and information science.

近半个世纪以来,谱图论形成发展成为图论研究的重要领域之一,也是一个非常活跃的研究方向,它在量子化、物理、计算机科学、通信网络及信息科学中均有广泛的应用。

The second is through WebGIS technology, the realization of the network base map of the geographical and geological disasters, the distribution of mass monitoring information such as point of view, query and control layers.

二是通过WebGIS技术,在网络上实现了对地理底图和地质灾害群测群防点分布等信息的浏览、查询和图层控制。

Based on the comparison of current fault propagation models, bipartite graph model is adopted as fault propagation model, of which the formal definition is given.

对现有的网络故障传播模型进行比较分析,采用二分图作为故障定位的故障传播模型,提出了二分图故障传播模型的形式化定义。

And two important growing ways: star-like graph growth and complete graph growth.

增长和择优机制是无标度网络中两个最重要的演化机制,已发现比较重要的择优机制有度择优和秩次择优,比较重要的增长方式有星形图增长和完全图增长。

At last, a comprehensive identification method of control chart pattern is suggested, and an application is given.

接着,研究了两类控制图模式识别的方法:包括基于规则的和基于人工神经网络的控制图模式识别方法。

Presents an algorithm for generating the sum of disjoint products by using binary decision diagram as well as certain ordering role of paths and Boolean algebra formulas.

利用二分决策图,同时采用道路排序技巧及布尔代数运算给出了求不交和的方法,它比单纯采用二分决策图的算法更简单,不交和的项数更少,从而得到一个求网络可靠度的有效算法。

Based on factorization method the network topology of radial power network and the topology of factor graph are analyzed and it is proved that they two topologies are the same, on this basis a Newton power flow algorithm that possesses similar program to branch-oriented forward/backward sweep algorithm is developed.

基于图上因子分解法对辐射状电网的网络拓扑和因子图的拓扑进行了分析,证明2者是相同的,在此基础上开发了与面向支路的前代、回推法具有相似程序实现形式的牛顿潮流算法。

By man-computer interaction technique, data are selected from crossing-well seismic lines to construct synthetic seismic records, and 20 seismic characteristic parameters are taken to identify igneous rocks by neural network techniques to construct the structural map of their top and bottom.

通过人机联作解释技术抽取联井地震测线、制作合成地震记录,提取了20种地震特征参数,采用神经网络判识技术识别火成岩,编制出火成岩等厚图和顶面、底面构造图。

The optimal models and algorithms for making up pairs and non-pairs locomotive turn-around diagram are given out. Specially, a more efficient way to consider both the optimum and the equilibrium of this problem is also presented as follows: at first formulate the network flow model of this problem and solve it by the method of the minimal cost flow and then use the labeling method to readjust the solution.

对成对和不成对机车周转图编制问题进行了探讨,给出了其最优配置的数学模型和算法;在此基础上,提出了把均衡性与最优化综合考虑的不成对机车周转图的改进算法——首先建立网络流模型用最小费用流算法求得问题的初始最优解,然后用标记法对该解进行调整,使其在最优的基础上达到均衡。

That is, network coding has a larger rate region in a multicast CIOQ switch. Moreover, the graph-theoretic characterization was given out. With the concepts of stable set polytope from the enhanced conflict graph, it is pointed out that computing the offline schedule can be reduced to certain graph coloring problems.

文章证明了对一个流中的分组进行线性网络编码可以承载不允许网络编码时不能够承载的交换流量模式,也就是说,网络编码允许CIOQ交换结构在实现组播服务时有更大的速率区域,并给出了基于图论方法的描述。

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

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