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Convergence in (Social) Influence Networks

机译:(社会)影响力网络中的融合

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We study the convergence of influence networks, where each node changes its state according to the majority of its neighbors. Our main result is a new Ω(n~2/ log~2 n) bound on the convergence time in the synchronous model, solving the classic "Democrats and Republicans" problem. Furthermore, we give a bound of θ(n~2) for the sequential model in which the sequence of steps is given by an adversary and a bound of θ(n) for the sequential model in which the sequence of steps is given by a benevolent process.
机译:我们研究影响网络的收敛性,其中每个节点根据其大多数邻居改变其状态。我们的主要结果是在同步模型的收敛时间上得到一个新的Ω(n〜2 / log〜2 n)界线,从而解决了经典的“民主与共和党”问题。此外,对于由对手给出步骤顺序的顺序模型,给定θ(n〜2)的界线,由a给出步骤序列的顺序模型,给定θ(n)的界线。仁慈的过程。

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