  On the basis of structural model of intersystem interactions, the main local
and global structural characteristics of nodes of the multilayer network (MLN)
are determined. The notions of weighted and binary aggregate-networks of MLN
are introduced and integral indicators of the importance of nodes of the
multilayer network are determined. The effectiveness of application of
aggregate-networks for solving a number of practically important problems of
the theory of complex networks is shown. To determine the most important
components of intersystem interactions structure, the concepts of p-core of
multilayer network and kag-core of its weighted aggregate-network are
introduced. The effective scenarios of successive and simultaneous group
attacks on the structure of multilayer network systems have been built based on
the use of these cores. Indicators of the importance of separate layers of MLN
are introduced and approaches to building scenarios of successive and
simultaneous system-wide attacks on the structure of intersystem interactions
are formulated.
