The informational, communication, transport and electrical power systems have, as a rule, compound structure. This paper is devoted to the researching of destruction phenomenon of these technical compound structure systems. The discrete (graph-theoretical) simulation of system destruction phenomenon is suggested. Various criteria (total destruction criterion, diametric criterion, components criterion, connectedness criterion) of destruction are also suggested. Researching of different destruction epicenters under different destruction criteria let to find different scenarios of compound systems destruction.

Mathematical modelling in actual problems of science and technics