用给定的预期的巨大组件构建一个随机网络

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-12-05 DOI:10.1007/s11565-024-00575-9

Lorenzo Federico, Ayoub Mounim

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引用次数: 0

摘要

在这项工作中，我们证明了给定任何具有有限均值的整数随机变量D，例如\(\mathbb {E}[D]>2\)和\(\mathbb {P}(D\ge 1)=1\)，可以建立一个配置模型，其巨大分量具有概率收敛于D的度分布，并给出了计算初始度分布的方法来实现这一性质。

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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Building a random network with a given expected giant component

In this work we show that given any integer-valued random variable D with finite mean such that \(\mathbb {E}[D]>2\) and \(\mathbb {P}(D\ge 1)=1\), it is possible to build a configuration model whose giant component has degree distribution that converges in probability to D and give a way to compute the starting degree distribution to achieve this property.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.