Robustness of first-order coherence in duplex networks

Abstract

This paper investigates the robustness of first-order coherence characterized by the Laplacian spectrum in duplex networks with varying interlayer linking topologies and node connections of two layers under degree, closeness and eigenvector centrality indicators. The interlayer linking weight and linking rate play an important role in the coherence of duplex networks. The increasing larger linking weight and linking rate make the duplex networks more consensus. In addition, the positively, negatively and randomly correlated linking patterns display diverse consensus behaviors in duplex networks with different interlayer connections. Finally, the linking pattern under the eigenvector centrality has a profound impact on the coherence in the constructed duplex networks. The obtained results of duplex networks may help with a deeper understanding of consensus in multilayer networks.