论文标题
多层网络的Perron通讯和灵敏度
Perron communicability and sensitivity of multilayer networks
论文作者
论文摘要
建模由不同类型对象组成的复杂系统导致多层网络，其中不同层中的节点代表不同的对象。节点通过具有正权重的边缘连接。多层网络与上贴矩阵相关联。本文通过研究超级矩阵的perron根的灵敏度来研究多层网络中通信性对网络扰动的敏感性。我们的分析阐明了哪种边缘权重使更大的重量增加网络的通信性，并且可以使哪些边缘权重较小或设置为零，而不会显着影响交流性。
Modeling complex systems that consist of different types of objects leads to multilayer networks, where nodes in the different layers represent different kind of objects. Nodes are connected by edges, which have positive weights. A multilayer network is associated with a supra-adjacency matrix. This paper investigates the sensitivity of the communicability in a multilayer network to perturbations of the network by studying the sensitivity of the Perron root of the supra-adjacency matrix. Our analysis sheds light on which edge weights to make larger to increase the communicability of the network, and which edge weights can be made smaller or set to zero without affecting the communicability significantly.
