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This paper presents and discusses some generating principles and methods of the test graph on the system level fault diagnosis about random test graph,limit t fault diagnosable test graph, t fault diagnosable test graph and so on.

提出并研究了系统级故障诊断测试图中任意测试图、受限t可诊断系统测试图和t可诊断系统测试图的生成原理及方法，还给出了一个典型测试图的生成实例。

The Innovation Graph Technique is very good at real-time, so this paper goes deep into the research that the identification of topology change, bad data utilizing Innovation Graph Technique and its practicality in order to expand the theory of Innovation Graph Technique and supply a approach which can identify bad data and topology change in real lager-scale power network quickly and effectively.The model of the Innovation Graph is further studied in this paper.

新息图状态估计具有良好的实时性，本文对其在拓扑变化辨识、不良数据辨识及实用化方面进行了深入研究，旨在拓展新息图理论，提供快速有效的、可实用化的拓扑变化和不良数据辨识方法。

In this paper, firstly, not only the incidence matrix ,adjacent matrix, cycle matrix, cut-set matrix of an undirected graph are summarized, but also the close contact between a graph and its corresponding matrix are discussed ; secondly, many problems of a graph which are solved by analysing its matrix are listed as follows:1、The co-tree set of a graph is obtained by using its cycle-matrix ; 2、The branches of its spanning tree are given by using its cut-set matrix ; 3、By making use of the incidence matrix of a graph ,not only its vertex cut 、cut vertex 、isolated point and spanning tree can be obtained ,but also the two sides which are whether parallel or not can be judged ;4、By using their adjacent matrix ,the two graphes which are whether isomorphous or not can be judged; once more, there is a detailed introduction in view of special graph (for example: bigaritite graph ,regular graph and so on);last but not least, a graph method of calculating the N power of a matrix is given and the practical applications of the theorem for degree is indicated.

本文首先综述了无向图的关联矩阵，邻接矩阵，圈矩阵，割集矩阵以及图和它对应矩阵之间的关系；其次总结出了利用上述各类矩阵可以解决的图的若干问题：1、利用图的圈矩阵可以求其连枝集；2、利用图的割集矩阵可以求其生成树的树枝；3、利用图的关联矩阵不仅可以求其割点、点割集、连通度、孤立点和生成树，而且可以判断两条边是否平行；4、利用图的邻接矩阵可以判断两个图是否同构；再次，针对特殊图（例如：二分图、正则图等等）的邻接矩阵作了详细介绍；最后，得到了利用图计算矩阵的N次幂的方法，指出度数定理的实际应用。

In this paper well verify that it is true for tree(a special type of bipartite graph)vertex-multiplications, and it is a extention to one of the results in paper.In the second chapter, from the point of view of non-decreasing degree sequence we give a degree-maximal non-Hamilton simple balanced bipartite graph bm,n. We give a result below.

第二章中从图的不减度序列角度给出了一类度极大的非哈密尔顿简单平衡二部图，并且证明了：任何非哈密尔顿的简单平衡二部图，它的不减度序列一定弱于此类图中的某个图b_的度序列。

In the special case when G = AutX, we call a G—vertex-transtive graph, G—edge-transtive graph, G—semisymmetric graph X is vertex-transtive edge-transtive semisymmetric graph respectively In this paper we investigate the autmorphism graph AutX of the cubic semisymmetric graph of order 12p ,when p is primes.

特别地，若G=AutX这时的G-点传递图、G-边传递图、G-半对称图称为点传递图边传递图半对称图。

This paper is based upon XiShan Colliery Parent Company .The data of DongQu Mine pit ventilation resistance mensuration is combined. And system theory, graph theory, ventilation network technology and computer technology are utilized. According to the reality of coalmine, we think that graph and database is incorporate in mine ventilation system. So based on this, ventilation system standard graph is founded, the tool of ventilation graph to draw is made, the ventilation network calculation is realized, the outcome of the ventilation network calculation is seen on the screen, and opaquing and inquiring of the road parameters and so on. In addition to mine ventilation drawing-database visual management system is developed.

本文基于西山煤矿总公司东曲矿〖东曲矿矿井通风网络计算机管理系统〗科研项目，结合东曲矿矿井通风阻力测定，运用系统理论、图论、通风网络技术及计算机技术，针对煤矿实际，将矿井通风系统中图形和数据库贯穿为一体，创建了通风系统标准图库并编制了通风图形绘制工具，实现了风网解算和解算结果图形显示及巷道参数的修改、查询等功能，开发了矿井通风图形数据可视化管理系统。

This paper proposed a transformable model of EWDG (edge-weighted directed graph) and VWDG (vertex-weighted directed graph) to resolve the problem of weighted traversal patterns mining. Based on the model, developed a new algorithm, called LGTWFPMiner (local graph traversals-based weighted frequent patterns miner), and its local estimation of support/weight-hound to discover weighted frequent patterns from the traversals on graph with a level property.

为解决加权遍历模式挖掘问题，首先提出了一种从EWDG到VWDG的变换模型；基于这种模型，提出了在具有层次特性的局部图遍历中，挖掘加权频繁模式的LCTWFPMiner（局部图遍历加权频繁模式挖掘法）及其支持度／权值界的局部评枯方法。

Basing on this, this paper proposes a generalized shortest path method. That is, by constructing an intermodal-network multi-ply graph which interrelates the data and information in transit with the nodes and sides of the graph, adding virtual origin and destination stations to the graph, and then analyzing transport costs and transfer costs, this paper applies the Dijkstra algorithm to solve the intermodal optimal transport path problem so as to get the intermodal transport plan with the least generalized costs.

在此基础上，提出一种求解最佳运输路线的广义最短路法，即通过构建多式联运网络多重图，将运输过程中的数据、信息和图中的节点、边关联起来，然后对运输费用和中转费用进行分析估计，并通过在联运网络图中加入虚拟的发、到站，使得该问题可用Dijkstra算法进行求解，从而获得广义费用最少的联运方案。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。