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Dynamically Weighted Clique Evolution Model in Clique Networks

机译：Clique网络中的动态加权Clique演化模型

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摘要

This paper proposes a weighted clique evolution model based on clique (maximal complete subgraph) growth and edge-weight driven for complex networks. The model simulates the scheme of real-world networks that the evolution of networks is likely to be driven by the flow, such as traffic or information flow needs, as well as considers that real-world networks commonly consist of communities. At each time step of a network's evolution progress, an edge is randomly selected according to a preferential scheme. Then a new clique which contains the edge is added into the network while the weight of the edge is adjusted to simulate the flow change brought by the new clique addition. We give the theoretical analysis based on the mean field theory, as well as some numerical simulation for this model. The result shows that the model can generate networks with scale-free distributions, such as edge weight distribution and node strength distribution, which can be found in many real-world networks. It indicates that the evolution rule of the model may attribute to the formation of real-world networks.
机译：本文提出了一种基于集团（最大完整子图）增长和边缘权重驱动的加权集团发展模型，用于复杂网络。该模型模拟了现实世界网络的方案，即网络的演进很可能由流量（例如流量或信息流需求）驱动，并且考虑到现实世界网络通常由社区组成。在网络演进的每个时间步骤中，都会根据优先方案随机选择一条边缘。然后，将包含边的新团添加到网络中，同时调整边的权重以模拟新团添加带来的流量变化。我们给出基于均值场理论的理论分析以及该模型的一些数值模拟。结果表明，该模型可以生成无鳞分布的网络，例如边缘权重分布和节点强度分布，这在许多现实世界的网络中都可以找到。这表明模型的演化规则可能归因于现实世界网络的形成。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第3期|182638.1-182638.6|共6页
  • 作者

    Zhang-Wei Li; Xu-HuaYang; Feng-Ling Jiang; Guang Chen; Guo-Qing Weng; Mei Zhu;

  • 作者单位

    College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou 310023, China;

    College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou 310023, China;

    College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou 310023, China;

    College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou 310023, China;

    College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou 310023, China;

    College of Information Engineering, Zhejiang University of Science & Technology, Hangzhou 310023, China;

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