2015/06/30 by Yan Zhang, Antonios Garas, Frank Schweitzer · 51 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Complex network #Computer network #Computer science #Controllability #Degree (music) #Distributed computing #Engineering #Layer (electronics) #Mathematics #Mobile Ad Hoc Networks #Node (physics) #Opportunistic and Delay-Tolerant Networks #Physics #Scale (ratio) #Scale-free network #Topology (electrical circuits) #cs.SI #physics.soc-ph
paper · pdf · doi:10.1103/physreve.93.012309
published in Physical review. E 93(1), 012309 (American Physical Society) · 14 pages, 7 figures
openalex publication_date 2016/01/27 · arxiv created 2016/01/29 · arxiv updated 2016/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the controllability of a two-layer network, where driver nodes can be chosen randomly only from one layer. Each layer contains a scale-free network with directed links and the node dynamics depends on the incoming links from other nodes. We combine the in-degree and out-degree values to assign an importance value w to each node, and distinguish between peripheral nodes with low w and central nodes with high w. Based on numerical simulations, we find that the controllable part of the network is larger when choosing low w nodes to connect the two layers. The control is as efficient when peripheral nodes are driver nodes as it is for the case of more central nodes. However, if we assume a cost to utilize nodes that is proportional to their overall degree, utilizing peripheral nodes to connect the two layers or to act as driver nodes is not only the most cost-efficient solution, it is also the one that performs best in controlling the two-layer network among the different interconnecting strategies we have tested.