Efficient routing on two layer degree-coupled networks

Traffic dynamics of multiplex networks is one of the new research topics since many systems are proved not to be composed of only a single layer network. Here we focus routing strategies on a two layer degree-coupled network that is composed of a logical layer network and a physical layer network. In this paper, three routing strategies are proposed. Increasing coupling randomness between inter-layer nodes decreases the traffic capacity of the system, which is the result of increase of repeated routing on central nodes. Further, we show that a weighting logical layer network cannot enhance traffic capacity significantly, while avoiding passing through those heavy traffic nodes could notably promote traffic capacity than the performance of a similar strategy in a traditional one layer network.