Title: Flow Characteristics and Cores of Complex Network and Multiplex Type Systems,
Abstract: Subject of research is complex networks and network systems. The network
system is defined as a complex network in which flows are moved. Classification
of flows in the network is carried out on the basis of ordering and continuity.
It is shown that complex networks with different types of flows generate
various network systems. Flow analogues of the basic concepts of the theory of
complex networks are introduced and the main problems of this theory in terms
of flow characteristics are formulated. Local and global flow characteristics
of networks bring closer the theory of complex networks to the systems theory
and systems analysis. Concept of flow core of network system is introduced and
defined how it simplifies the process of its investigation. Concepts of kernel
and flow core of multiplex are determined. Features of operation of multiplex
type systems are analyzed.