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大型网络的拓扑建模

Topological modelling of large networks.

作者信息

Mondragón Raúl J

机构信息

Department of Electronic Engineering, Queen Mary University of London, Mile End Road, London, UK.

出版信息

Philos Trans A Math Phys Eng Sci. 2008 Jun 13;366(1872):1931-40. doi: 10.1098/rsta.2008.0008.

DOI:10.1098/rsta.2008.0008
PMID:18325874
Abstract

In a complex network, there is a strong interaction between the network's topology and its functionality. A good topological network model is a practical tool as it can be used to test 'what-if' scenarios and it can provide predictions of the network's evolution. Modelling the topology structure of a large network is a challenging task, since there is no agreement in the research community on which properties of the network a model should be based, or how to test its accuracy. Here we present recent results on how to model a large network, the autonomous system (AS)-Internet, using a growth model. Based on a nonlinear preferential growth model and the reproduction of the network's rich club, the model reproduces many of the topological characteristics of the AS-Internet. We also identify a recent method to visualize the network's topology. This visualization technique is simple and fast and can be used to understand the properties of a large complex network or as a first step to validate a network model.

摘要

在复杂网络中,网络拓扑与其功能之间存在着强烈的相互作用。一个良好的拓扑网络模型是一种实用工具,因为它可用于测试“假设”情景,还能对网络的演化进行预测。对大型网络的拓扑结构进行建模是一项具有挑战性的任务,因为在研究界对于模型应基于网络的哪些属性,以及如何测试其准确性尚无共识。在此,我们展示了关于如何使用增长模型对大型网络——自治系统(AS)互联网进行建模的最新成果。基于非线性偏好增长模型以及网络富俱乐部的再现,该模型再现了AS互联网的许多拓扑特征。我们还确定了一种用于可视化网络拓扑的最新方法。这种可视化技术简单快捷,可用于理解大型复杂网络的属性,或作为验证网络模型的第一步。

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