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On Mathematical Aspects of Analyzing the Structure of Complex Systems Using Weighted Digraphs
Lobachevskii Journal of Mathematics Pub Date : 2020-12-30 , DOI: 10.1134/s1995080220110165
V. P. Osipov , Yu. G. Rykov

Abstract

The paper deals with the structure of complex systems represented as directed graphs with the values assigned to a graph’s vertices and edges. The natural procedure of determining the values of vertices through the input ones is introduced. The formulas are proved in order to calculate the influence of input vertices to others in case of linear relations. These formulas are closely connected with the internal structure of considered graph. The example of application of the formulas is described.



中文翻译:

关于使用加权有向图分析复杂系统结构的数学方面

摘要

本文讨论了以有向图表示的复杂系统的结构,其中有向图的顶点和边指定了值。介绍了通过输入顶点确定顶点值的自然过程。证明了这些公式是为了计算线性关系下输入顶点对其他顶点的影响。这些公式与所考虑图形的内部结构紧密相关。描述了公式的应用示例。

更新日期:2020-12-30
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