Bond Percolation on Multiplex Networks
Bond Percolation on Multiplex Networks
复制标题
DOI：
10.1103/physrevx.6.021002
复制
发表时间：
2016-04-01
影响因子：
12.5
通讯作者：
Gleeson, J. P.
中科院分区：
文献类型：
--
作者：
Hackett, A.;Cellai, D.;Gleeson, J. P.
我们提出了一种分析方法的多重网络上的键渗流，并使用它来确定预期的大小的巨型连接组件和在这些网络中的临界键占据概率的值。我们主张这些工具的多层稳健性建模的相关性，并有助于辩论是否有任何好处是从研究一个完整的多重结构，而不是它的单重投影，特别是在看似无关的情况下，不依赖于层的键占据概率。虽然我们发现，在许多情况下，我们的多重网络理论的预测与以前得到的结果相一致的monoplex网络，我们也发现了显着的结果，对于某一类的多重网络，以及我们的理论描述，新的临界现象发生的多重渗流相变。我们提供了一个实例，这种现象在一个多路复用网络构建从伦敦铁路和欧洲航空运输数据集。
We present an analytical approach for bond percolation on multiplex networks and use it to determine the expected size of the giant connected component and the value of the critical bond occupation probability in these networks. We advocate the relevance of these tools to the modeling of multilayer robustness and contribute to the debate on whether any benefit is to be yielded from studying a full multiplex structure as opposed to its monoplex projection, especially in the seemingly irrelevant case of a bond occupation probability that does not depend on the layer. Although we find that in many cases the predictions of our theory for multiplex networks coincide with previously derived results for monoplex networks, we also uncover the remarkable result that for a certain class of multiplex networks, well described by our theory, new critical phenomena occur as multiple percolation phase transitions are present. We provide an instance of this phenomenon in a multiplex network constructed from London rail and European air transportation data sets.