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In this paper, we discuss asymptotically stable sets of graph maps and give a necessary and sufficient condition for a fixed point of f to be asymptotically stable.

在本文中，我们讨论了图映射的渐近稳定集，并给出了f的不动点为渐近稳定的一个充分必要条件。

The main points of this paper are as follows:(1) The actuality and the deficiency of the current workflow technology is analyzed according to the expatiating on the workflow technology.(2) A workflow model supporting the dynamic modifying and its implementation arithmetic and an implementation method using the OO technology is proposed according to the Directed Graph theory.(3) The strategy of dynamic modifying of workflow model is researched, a improved conversion strategy is proposed, and the detailed process of dynamic modifying is discussed.(4) Having researched on the construction scheme of digital campus based on URP and the workflow of office business, an OA system model based on dynamic workflow technology was proposed according to the workflow management system model and several typical functions of OA workflow management system were realized, which is of high value on improving the autoimmunization of business operation and the cooperating work ability.

论文的主要内容如下：(1)通过对工作流技术的全面阐述，分析了目前工作流技术发展的现状和不足，为自己的研究工作划定了问题域范围；(2)利用有向图定义了一个支持动态修改的工作流模型，并给出了该模型的执行算法，给出了该模型利用面向对象技术的一种实现方法；(3)详细讨论了工作流模型的修改策略和方法，提出了一种改进了的转换策略，并给出了动态修改操作的具体步骤；(4)在深入分析基于URP的数字校园建设方案以及办公工作流程的基础上，结合工作流管理系统参考模型，提出了基于动态工作流技术的OA系统模型，实现了OA工作流管理系统中几个典型的功能，对提高业务处理自动化，提高协同工作能力具有重要的应用价值。

In this paper, according to the analysis of fluid supply pipe work hydraulic condition, using the graph theory basic loop, KCL and KVL and Bernoulli equation established hydraulic power work condition mathematic model, settled the derivation of the mathematic model.

本文通过对流体输配管网的水力工况的分析，利用图论的基本回路法，基尔霍夫定律和伯努利方程建立了水力工况的数学模型，确定了求解数学模型的算法。

In this paper, according to the analysis of fluid supply pipe workhydraulic condition, using the graph theory basic loop, KCL and KVLand Bernoulli equation established hydraulic power work conditionmathematic model, settled the derivation of the mathematicmodel.

本文通过对流体输配管网的水力工况的分析，利用图论的基本回路法，基尔霍夫定律和伯努利方程建立了水力工况的数学模型，确定了求解数学模型的算法。

Cross Entropy method has recently been proposed as a heuristic method.It shows some simple performance in the process of solving combinatorial optimization problems.This paper makes full use of Cross Entropy method to obtain the best estimator for the max-cut problem which is a standard NP-hard problem in graph graphic theory.

交叉熵方法是近几年发展而来的一种启发式方法，在求解组合优化问题中显示出其简单有效的特点，将运用交叉熵方法寻求图论中一个典型的NP困难问题—最大割问题的最优解。

A novel algorithm based on"edge betweenness" is proposed in this paper,which uses the two structure properties of the local community as the way of the graph division.

根据"中间状态边"概念，提出了一种新颖的网络分割算法：该算法通过分析构成子网络的两个结构属性，给出了一种划分子网络的方法。

In this paper, an algorithm based on backtrack which calculates the betweenness for simple un-weighted network with O run time complexity is proposed, after which the unique feature of Internet AS graph, i.e, edges between two ASes are associated with some kind of commercial relationships, is considered.

在进一步考虑Internet AS拓扑的特殊性，即任意两个相连的AS都具有某种商业关系的基础上提出了互联网AS层拓扑的Betweenness计算方法。

In this paper, we study a necessary and sufficient condition that complete bipartite graph exists factors.

讨论了完全偶图存在 [1，2 ]因子的充分必要条件，并给出了 [1，2 ]因子的计数

In this paper we determine the signed star domination numbers of all wheels and complete bipartite graph s.

本文确定了所有的轮图和完全二部图的符号星控制数。

This paper presents the formula of enumeration of DS-factors of a complete bipartite graph .

本文研究完全偶图 Km，n的DS-因子计数，给出了Km，n的DS-因子计数公式。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。