Distributions of degrees in growing graphs with loss of arcs

For growing graphs of preferential attachment that lose arcs continuously the problem of calculating the two-dimensional arcs (edges) degrees distribution is solved. The application of the developed methods for calculating graphs with arcs losses allows us to synthesize adequate models of growing networks (social, information-telecommunication, cooperation networks, etc.), taking into account the loss of connections between nodes. Thus, the possibilities of effective use of such networks and effective management of their development are expanded, including the influence on processes of links losses.