It defines firstly the matrix representation of gird and proves that the Rank of simple graph conjunction matrix is a v-1 conjunction matrix and obtains the conjunction matrix of a directed graph of a thermodynamic system fluid grid by analyzing the fluid grid of a thermodynamic system. 首先定义了网络图的矩阵表示,证明了简单图的关联矩阵T的秩Rank(T)为v1,并对热力系统的流体网络图进行了分析,获得热力系统流体网络有向图的关联矩阵。
The paper make an exploratory analysis of the input-output system structure using the method of graph theory, especially using the matrix representation of graph, if enables the analysis method to be realized on the computer. 利用图论的方法对投入产出系统的结构作了探索性的分析,尤其是任用了图的矩阵表示法,能使这一分析方法在计算机上得到实现。
The Integral Matrix Representation of the Endomorphism Monoid of a Graph 图的自同态摹群的整矩阵表示
The integral matrix representation of the endomorphism monoid of a graph has been given by the method of the algebraic topology, some simple properties of the integral matrix semigroup have been discussed. 通过代数拓扑的方法,给出了图的自同态摹群的整矩阵表示,并讨论了整矩阵半群的简单性质。