Perron communicability and sensitivity of multilayer networks

Abstract Modeling complex systems that consist of different types objects leads to multilayer networks, where nodes in the layers represent kinds objects. Nodes are connected by edges, which have positive weights. A network is associated with a supra-adjacency matrix. This paper investigates sensitivity communicability perturbations studying Perron root Our analysis sheds light on edge weights make larger increase network, and can be made smaller or set zero without affecting significantly.