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Fundamental difference between superblockers and superspreaders in networks

机译:超级拦截器和超级推子之间的根本区别   网络

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摘要

Two very important problems regarding spreading phenomena in complextopologies are the optimal selection of node sets either to minimize ormaximize the extent of outbreaks. Both problems are nontrivial when a smallfraction of the nodes in the network can be used to achieve the desired goal.The minimization problem is equivalent to a structural optimization. The"superblockers", i.e., the nodes that should be removed from the network tominimize the size of outbreaks, are those nodes that make connected componentsas small as possible. "Superspreaders" are instead the nodes such that, ifchosen as initiators, they maximize the average size of outbreaks. The identityof superspreaders is expected to depend not just on the topology, but also onthe specific dynamics considered. Recently, it has been conjectured that thetwo optimization problems might be equivalent, in the sense that superblockersact also as superspreaders. In spite of its potential groundbreakingimportance, no empirical study has been performed to validate this conjecture.In this paper, we perform an extensive analysis over a large set of real-worldnetworks to test the similarity between sets of superblockers and ofsuperspreaders. We show that the two optimization problems are not equivalent:superblockers do not act as optimal spreaders.
机译:关于复杂拓扑中的扩散现象的两个非常重要的问题是对节点集的最佳选择,以最小化或最大化爆发的范围。当网络中节点的一小部分可用于实现期望的目标时,这两个问题都不是简单的。最小化问题等同于结构优化。 “超级阻止程序”,即应从网络中删除以最小化爆发规模的节点,是使连接的组件尽可能小的那些节点。相反,“超级传播者”是这样的节点,如果被选为发起者,它们将使爆发的平均规模最大化。超级扩展程序的身份不仅取决于拓扑,还取决于所考虑的特定动态。近来,人们推测,就超级阻滞剂也起超级扩散剂的作用而言,这两个优化问题可能是等效的。尽管其潜在的开创性重要性,但尚未进行任何经验研究来验证这一猜想。在本文中,我们对大量的现实世界网络进行了广泛的分析,以测试超级阻止者和超级传播者之间的相似性。我们证明了这两个优化问题并不等效:超级阻止程序不充当最佳扩展程序。

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