网络图互补生成树的一种推广

G. Nenov
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引用次数: 2

摘要

图论是网络分析和综合中广泛使用的工具,因为它允许对网络变量——电流和电压之间的关系进行一些有用的可视化(Seshu和Reed, 1961年和Lee, 1965年)。生成树是这个理论中最重要的概念之一——它既适用于有向图,也适用于无向图。在电路分析中,相应生成树的选择决定了方程系统的优劣。本文尝试推广面向网络的图互补生成树的概念。所得结果可用于网络分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A generalization of network graph complementary spanning trees
The graph theory is wide used tool in network analysis and synthesis because it permits some useful visualization of the relationships between the network variables - currents and voltages (Seshu and Reed, 1961 and Lee, 1965). The spanning tree is one of the most important concepts in this theory - it applies to oriented as well as for nonoriented graphs. The choice of the corresponding spanning tree determines the equation system in circuit analysis. In the paper presented an attempt is made to generalize the concept of network oriented graph complementary spanning trees. The obtained results can be useful for the network analysis.
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