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Connectivity Transition for Wireless Networks with Growing Processes

机译:流程不断增长的无线网络的连接过渡

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In this paper, we study the transition phase in the network connectivity. We focus on the transformation of network starting from partition to connected state as node density increases. During the node density increasing process, the connectivity transition is studied based on percolation theory so as to derive the related critical time points. Specifically, we firstly derive the lower and upper bound of critical density against node transmission range. Then, we make use of three growth functions of node to obtain the first connection time and total connection time which denote the points when the node densities reach the lower and upper bound of critical value respectively. The simulation demonstrates the evolution of network in terms of the connectivity and gives the connection times with three different growth models.
机译:在本文中,我们研究了网络连接的过渡阶段。随着节点密度的增加,我们专注于从分区到连接状态的网络转换。在节点密度增加的过程中,基于渗流理论研究连通性转变,从而得出相关的临界时间点。具体来说,我们首先得出临界密度的下限和上限对节点传输范围的影响。然后,我们利用节点的三个增长函数来获得第一连接时间和总连接时间,它们分别表示节点密度达到临界值的上下限时的点。该仿真演示了网络在连接性方面的发展,并给出了三​​种不同增长模型的连接时间。

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