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A flow approach to community detection in complex network and multilayernetwork systems is proposed. Two methods have been developed to search forcommunities in a network system (NS). The first of them is based on thecalculation of flow influence parameters of NS's subsystems, selected accordingto the principle of nesting hierarchy. The second method uses the concept offlow core of network system. Two methods are also proposed for communitydetection in multilayer network system (MLNS). The first of them is based onthe concept of MLNS aggregate-network and subsequent allocation of its flowcore. The second method uses the concept of flow core of the process ofintersystem interactions in general. All developed methods are based on the useof flow criterion that the selected group of nodes really forms a community.The results of application of developed approaches are illustrated by examplesfor which known methods are ineffective.

Communities detection in complex network and multilayer network systems: A flow approach