网络中的频谱影响：投入产出分析的应用

IF 0.9 4区数学 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Combinatorial Optimization Pub Date : 2024-12-16 DOI:10.1007/s10878-024-01244-5

Nizar Riane

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引用次数: 0

摘要

本文介绍了频谱影响力和频谱周期性的概念，这两个概念都来自于图形邻接矩阵的最大特征值。这两种新颖的中心性度量分别从局部和全局的角度捕捉扩散和相互依存。我们提出了一种新的聚类算法，可以识别具有高循环性和相互依赖性的社区，并允许重叠。为了说明我们的方法，我们将其应用于摩洛哥经济背景下的投入产出分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Spectral influence in networks: an application to input-output analysis

This paper introduces the concepts of spectral influence and spectral cyclicality, both derived from the largest eigenvalue of a graph’s adjacency matrix. These two novel centrality measures capture both diffusion and interdependence from a local and global perspective respectively. We propose a new clustering algorithm that identifies communities with high cyclicality and interdependence, allowing for overlaps. To illustrate our method, we apply it to input-output analysis within the context of the Moroccan economy.

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来源期刊

Journal of Combinatorial Optimization 数学-计算机：跨学科应用

CiteScore

2.00

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The objective of Journal of Combinatorial Optimization is to advance and promote the theory and applications of combinatorial optimization, which is an area of research at the intersection of applied mathematics, computer science, and operations research and which overlaps with many other areas such as computation complexity, computational biology, VLSI design, communication networks, and management science. It includes complexity analysis and algorithm design for combinatorial optimization problems, numerical experiments and problem discovery with applications in science and engineering. The Journal of Combinatorial Optimization publishes refereed papers dealing with all theoretical, computational and applied aspects of combinatorial optimization. It also publishes reviews of appropriate books and special issues of journals.