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Most real-world complex systems can be modelled by coupled networks withmultiple layers. How and to what extent the pattern of couplings betweennetwork layers may influence the interlaced structure and function of couplednetworks are not clearly understood. Here we study the impact of correlatedinter-layer couplings on the network robustness of coupled networks usingpercolation concept. We found that the positive correlated inter-layer couplingenhaces network robustness in the sense that it lowers the percolationthreshold of the interlaced network than the negative correlated coupling case.At the same time, however, positive inter-layer correlation leads to smallergiant component size in the well-connected region, suggesting potentialdisadvantage for network connectivity, as demonstrated also with somereal-world coupled network structures.

Correlated couplings and robustness of coupled networks