Anomalous random networks

Hong Zhang, Guohua Li
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引用次数: 0

Abstract

After the groundbreaking work of Erd$\ddot{o}$s-R$\acute{e}$nyi random graph, the random networks has made great progress in recent years. One of the eye-catching modeling is time-varying random network model capable of encoding the instantaneous time description of the network dynamics. To further describe the random duration time for the nodes to be inactive, we herein propose a dinner party anomalous random networks model, and derive the analytical solution of the probability density function for the node being active at a given time. Moreover, we investigate the gift delivery and viral transmission in dinner party random networks. This work provides new quantitative insights in describing random networks, and could help model other uncertainty phenomena in real networks.
反常随机网络
继 Erd$\ddot{o}$s-R$$acute{e}$nyi 随机图的开创性工作之后,随机网络近年来取得了长足的进步。其中一个引人注目的模型是时变随机网络模型,它能够编码网络动态的瞬时描述。为了进一步描述节点不活跃的随机持续时间,我们在此提出了一个聚会异常随机网络模型,并推导出了节点在给定时间内活跃的概率密度函数解析解。此外,我们还研究了晚宴随机网络中的礼物传递和病毒传播。这项工作为描述随机网络提供了新的定量见解,并有助于模拟真实网络中的其他不确定性现象。
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