With the construction of adjacency matrices that can effectively describe an arbitrary topological graph , the eigenvectors of the same eigenvalue of the two matrices are calculated respectively and the possible isomorphic correspondences are established on the basis of their maximum impertinent groups 摘要在构建有效描述任意图邻接矩阵的基础上，分别计算2个矩阵的特征值所对应的特征向量，并依据它们的极大无关组寻找可能的同构对应关系。
Based on the characteristics of molecular structure , dyeing matrixes and adjacent matrixes are used to characterize molecular structure , and a new method , the group bond contribution method , is developed to predict the refractive indexes of alkane from the information of molecular structures 摘要根据分子结构的特点，通过用染色矩阵和邻接矩阵对分子结构进行矩阵化表徵，发展了一种根据分子结构信息预测烷烃折光指数的新方法基团键贡献法。
With the development of the network and the multi - processor system , the research , simulation and the impemeni of the system - level fault diagnosis which is the very important means to increase the reliability of the system , are becoming more and more important . on the system - leve1 fault diagnosis , based on the group theory of system - level fault diagnosis that has been put forward by pro f zhang , the paper constructs newly the theory bases , improves on the matrix method , reinforces and consummates group arithmetic of all kinds of test mode , for the first time , analyses and discusses the equation solution of all kinds of models , so al1 the consistent fault patterns ( cfp ) could be found , straightly and high efficiently , even if the sufficient and necessary condition of t - diagnosable is dissatisfied and the complexity of system - level fault diagnosis is greatly decreased , especialy in strong t - diagnosabl6 system . last the simulation system ' s function has been extended and the application hotspot and the development trend have been disscussed 本人在张大方教授等人提出的基于集团的系统级故障诊断的理论基础上，重新构建了系统级故障诊断的理论基础，定义了系统级故障诊断测试模型的三值表示；改进了系统级故障诊断的矩阵方法，重新定义了测试矩阵、邻接矩阵、结点对、结点对的相连运算、极大准集团和斜加矩阵，由此能直观、简便地生成集团和极大独立点集；补充和完善了各类测试模型的系统级故障诊断的集团算法，通过定义集团测试边和绝对故障集，简化了集团诊断图，由此能较易地找到所有的相容故障模式，即使不满足t -可诊断性，大大减少了系统级故障诊断的复杂度，尤其是对强t -可诊断系统；首次分析探讨了各类测试模型的方程解决，由此从另一角度能系统地、高效率地求出所有的相容故障模式( cfp ) ：扩充了系统级故障诊断仿真系统的功能，快速、直观和随机地模拟实验运行环境，进行清晰和正确的诊断，同时提供大量的实验数据用于理论研究，优化算法和设计。
On the basis of symbolization links and kinematic pairs , defines link - pair relating matrix and pair - pair adjacency matrix that can portray its structure properties , and then designs strategy and arithmetic of structure analysis intelligentized and establishes their models and software ' s framework 本文以常用级机构为对象，分析其运动学结构组成，在符号化其构件和运动副的基础上，定义反映其结构特征信息的杆副关联矩阵和副副邻接矩阵。然后设计机构结构智能化分析的策略与算法，构建相应的模型及其软件系统的结构。
The soft tissues are discreted to a mass - spring - damper system , and the topologies of the system are described using adjacent tables , the dynamical equations can be constructed based on the data stored in the adjacent tables . the 4th order runge - kutta method is used to integrate the equations of deformation . using computer graphical techniques to display the visual feedback of the deformation 将连续的软组织离散为由弹簧-阻尼器及与其连接的质点构成的离散系统，用邻接矩阵表示离散系统的拓扑结构，即质点-弹簧间的邻接关系，依据该信息，可自动计算与每个质点连接的弹簧、阻尼器对接点的粘弹性力的贡献，然后采用4阶runge - kutta方法对得到的微分方程组进行数值积分，用opengl技术对得到的仿真结果进行图形绘制。
In section two , the circular graphs with order n that the first row of their adjacent matrix is [ 01100 . . . 0011 ] and [ 010100 . . . 00101 ] are considered and we obtain the fractional chromatic number of them , include the chromatic number of the graphs whose first row of the adjacent matrix is [ 01100 . . . 0011 ] just while n is not the multiple of 3 在第二部分中，考虑了邻接矩阵第一行分别为[ 01100 … 0011 ]和[ 010100 … 00101 ]的n阶循环图，得到了它们的分数色数，以及邻接矩阵第一行为[ 01100 … 0011 ]的n阶循环图当n不是3的倍数时的顶点色数。
Based on the novel representation method of kinematic chains , which can be carried out by computer easily , namely the synthetic degrees sequence and the canonical adjacency matrix , and vc + + 6 . 0 software , a practical software has been developed in this paper which can automatically draw the topological graphs of kinematic chains and create their characteristic representations 摘要基于提出的运动链的新的并且易于计算机自动生成的描述方式，即合成度序列和规范邻接矩阵，利用vc + + 6 . 0面向对象的程序设计方法，开发出了运动链拓扑图的绘图及其特征描述自动生成软件。
Emphasis on picking up node failure message characters and matrix based on topology fabric and abutment matrix via switch node , analyzing the distribution feeder line break - down at single circumstance , discussing the distribution feeder line break - down judgment matrix , judge out the breakdown area of the segment through analyzing the break - down matrix inside chemical elements 论文软件着重研究了以配电网拓扑结构以及开关为节点的邻接矩阵为基础、在实时情况下，提取电网节点故障信息特征及矩阵，举例说明了通过分析配电网馈线单一故障情况，利用馈线网络故障时的故障区段判断矩阵，通过分析故障判断矩阵中元素的性质，来判断出故障区段的方法。
To the neighboring matrix method , the paper puts forward a method , which decreases the number of the nodes step by step . to the tree _ search method , the paper transforms the effect on the network topology of the switch ' s state change into the effect on the network topology of the edge ' s state change and bus ' s combing or breaking up 对邻接矩阵法，提出了节点消去法的拓扑分析方法；对树搜索法，将开关变位对网络拓扑结构的影响转化为支路的投切和母线的合并或分裂对网络拓扑结构的影响。
