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A Weighted Multi-Local-World Network Evolving Model and Its Application in Software Network Modeling

机译：加权多局域网络演化模型及其在软件网络建模中的应用

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摘要

The phenomenon of local worlds (also known as communities) exists in numerous real-life networks, for example, computer networks and social networks. We proposed the Weighted Multi-Local-World (WMLW) network evolving model, taking into account (1) the dense links between nodes in a local world, (2) the sparse links between nodes from different local worlds, and (3) the different importance between intra-local-world links and inter-local-world links. On topology evolving, new links between existing local worlds and new local worlds are added to the network, while new nodes and links are added to existing local worlds. On weighting mechanism, weight of links in a local world and weight of links between different local worlds are endowed different meanings. It is theoretically proven that the strength distribution of the generated network by the WMLW model yields to a power-law distribution. Simulations show the correctness of the theoretical results. Meanwhile, the degree distribution also follows a power-law distribution. Analysis and simulation results show that the proposed WMLW model can be used to model the evolution of class diagrams of software systems.
机译：局部世界（也称为社区）现象存在于许多现实生活的网络中，例如计算机网络和社交网络。考虑到（1）本地世界中节点之间的密集链接，（2）来自不同本地世界的节点之间的稀疏链接以及（3）本地世界内部链接和本地世界之间链接之间的重要性不同。随着拓扑的发展，现有本地世界和新本地世界之间的新链接被添加到网络，而新节点和链接被添加到现有本地世界。在加权机制上，赋予本地世界中的链接权重和不同本地世界之间的链接权重具有不同的含义。从理论上证明WMLW模型生成的网络的强度分布服从幂律分布。仿真表明了理论结果的正确性。同时，度分布也遵循幂律分布。分析和仿真结果表明，所提出的WMLW模型可用于对软件系统类图的演化进行建模。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|2048525.1-2048525.9|共9页
  • 作者

    Li Zengyang; Liu Hui; Lu Jun-An; Li Bing;

  • 作者单位

    Wuhan Univ, Sch Comp Sci, Wuhan 430072, Hubei, Peoples R China;

    Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China;

    Wuhan Univ, Complex Networks Res Ctr, Wuhan 430072, Hubei, Peoples R China;

    Wuhan Univ, Sch Comp Sci, Wuhan 430072, Hubei, Peoples R China;

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