| 电路中网络矩阵之间关系的拓扑证明 |
| |
| 引用本文： | 韩旭,孙立山.电路中网络矩阵之间关系的拓扑证明[J].电气电子教学学报,2009,31(4):36-38. |
| |
| 作者姓名： | 韩旭 孙立山 |
| |
| 作者单位： | 1. 哈尔滨工业大学,控制科学与工程系,黑龙江,哈尔滨,150001
2. 哈尔滨工业大学,电气工程系,黑龙江,哈尔滨,150001 |
| |
| 摘 要： | 在图论中,网络拓扑结构关系可以用关联矩阵A,或基本回路矩阵B,或基本割集C来表示.这三个矩阵之间的关系为ABT=0及BCT=0.相关的电路教材对此关系进行了数学证明.本文通过网络的拓扑结构关系来证明这三个网络矩阵间的关系,相对于数学原理的方法,能够反映出矩阵间内部的逻辑联系,并在证明过程中,提出一些有关网络矩阵的补充定理,完善网络图论的知识体系.
|
| 关 键 词： | 图论 关联矩阵 基本回路矩阵 基本割集矩阵 |
The Relations between the Network Matrixes in Circuit by Topology |
| |
| HAN Xu,SUN Li-shan.The Relations between the Network Matrixes in Circuit by Topology[J].Journal of Electrical & Electronic Engineering Education,2009,31(4):36-38. |
| |
| Authors: | HAN Xu SUN Li-shan |
| |
| Affiliation: | 1.Dept.of Control Science and Engineering;Harbin Institute of technology;Harbin 150001;China;2.Dept.of Electrical Engineering;China |
| |
| Abstract: | In the graph theory,the structure relations of topology in network can be shown and replaced by incidence matrix A,fundamental circuit matrix B or the fundamental cut-set matrix C.Their relations are ABT=0 and BCT=0.And the relations have been demonstrated by the mathematical theory in relevant textbooks.In this paper,the relations are proved with the structure relations of topology in network.And this method can show the intrinsic logic relations in comparison with the method of mathematical theory.In the ... |
| |
| Keywords: | graph theory incidence matrix fundamental loop matrix fundamental cut-set matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
