A.A. Kochkarov

The paper proposes a mathematical tool for designing one of the key components of network-centric systems - decentralized structure dynamic mobile communications network. The paper describes the use of structural dynamic approach to model mobile networks with varying topology. As the basis of the structural dynamic approach, a new class of non-regular graphs - prefractal graph is proposed. A key feature of the described class of graphs is the ability to model the structure of networked systems to reflect changes in the structure of the system. This property allows endowing prefractal graphs projected network systems with necessary structural characteristics. Aspects of self-organization in decentralized structure dynamic network systems are discussed. The class of problems of guaranteed communication in mobile networks, with the ability of geometric parallelism, is discussed.