Intersection of random spanning trees in complex networks

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS
András London, András Pluhár
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引用次数: 0

Abstract

Abstract In their previous work, the authors considered the concept of random spanning tree intersection of complex networks (London and Pluhár, in: Cherifi, Mantegna, Rocha, Cherifi, Micciche (eds) Complex networks and their applications XI, Springer, Cham, 2023). A simple formula was derived for the size of the minimum expected intersection of two spanning trees chosen uniformly at random. Monte Carlo experiments were run for real networks. In this paper, we provide a broader context and motivations for the concept, discussing its game theoretic origins, examples, its applications to network optimization problems, and its potential use in quantifying the resilience and modular structure of complex networks.
复杂网络中随机生成树的交集
导出了一个简单的公式,用于计算均匀随机选择的两棵生成树的最小期望交集的大小。蒙特卡罗实验在真实网络中运行。在本文中,我们为这个概念提供了一个更广泛的背景和动机,讨论了它的博弈论起源、例子、它在网络优化问题中的应用,以及它在量化复杂网络的弹性和模块化结构方面的潜在用途。
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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来源期刊
Applied Network Science
Applied Network Science Multidisciplinary-Multidisciplinary
CiteScore
4.60
自引率
4.50%
发文量
74
审稿时长
5 weeks
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