title: A random interacting network model for complex networks.
abstract: We propose a RAndom Interacting Network (RAIN) model to study the interactions between a pair of complex networks. The model involves two major steps: (i) the selection of a pair of nodes, one from each network, based on intra-network node-based characteristics, and (ii) the placement of a link between selected nodes based on the similarity of their relative importance in their respective networks. Node selection is based on a selection fitness function and node linkage is based on a linkage probability defined on the linkage scores of nodes. The model allows us to relate within-network characteristics to between-network structure. We apply the model to the interaction between the USA and Schengen airline transportation networks (ATNs). Our results indicate that two mechanisms: degree-based preferential node selection and degree-assortative link placement are necessary to replicate the observed inter-network degree distributions as well as the observed inter-network assortativity. The RAIN model offers the possibility to test multiple hypotheses regarding the mechanisms underlying network interactions. It can also incorporate complex interaction topologies. Furthermore, the framework of the RAIN model is general and can be potentially adapted to various real-world complex systems.
authors.affiliation: Potsdam Institute for Climate Impact Research, P.O. Box 60 12 03, 14412 Potsdam, Germany.
authors.forename: Bedartha
authors.initials: B
authors.lastname: Goswami
authors.affiliation: Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune - 411008, India.
authors.forename: Snehal M
authors.initials: SM
authors.lastname: Shekatkar
authors.affiliation: Potsdam Institute for Climate Impact Research, P.O. Box 60 12 03, 14412 Potsdam, Germany.|Institute of Earth and Environmental Science, University of Potsdam, Karl-Liebknecht-Str. 24-25, 14476 Potsdam-Golm, Germany.
authors.forename: Aljoscha
authors.initials: A
authors.lastname: Rheinwalt
authors.affiliation: Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune - 411008, India.
authors.forename: G
authors.initials: G
authors.lastname: Ambika
authors.affiliation: Potsdam Institute for Climate Impact Research, P.O. Box 60 12 03, 14412 Potsdam, Germany.|Department of Physics, Humboldt Universität zu Berlin, Newtonstr. 15, 12489 Berlin, Germany.|Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB243UE, UK.|Department of Control Theory, Nizhny Novgorod State University, 603950 Nizhny Novgorod, Russia.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths