arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1904.02473cs.SIphysics.soc-ph
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随着社区的增加而增长的图表

Growing graphs with addition of communities

E. B. Yudin

摘要:

本文提出了一种基于随机偏好连接图的大型网络模型,并添加了完全子图(团)。所提出的模型是指遵循非线性优先连接规则的随机图模型,并考虑了将整个节点社区“添加”到网络中的可能性。在推导确定顶点度分布的关系时,使用了描述图的稳态的有限差分方程的技术。所得到的结果进行了测试经验(通过生成大图),特殊情况下对应于已知的数学关系。

英文摘要:

Paper proposes a model of large networks based on a random preferential attachment graph with addition of complete subgraphs (cliques). The proposed model refers to models of random graphs following the nonlinear preferential attachment rule and takes into account the possibility of «adding» entire communities of nodes to the network. In the derivation of the relations that determine the vertex degree distribution, the technique of finite-difference equations describing stationary states of a graph is used. The obtained results are tested empirically (by generating large graphs), special cases correspond to known mathematical relations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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