Graph of Self-Regulation of Various Types of Networks with Adaptive Topology

Approaches used for the self-regulation of networks with adaptive network topology based on graph theory are presented. These approaches are limited to networks whose nodes do not change their position in space: peer-to-peer and heterogeneous sensor networks, as well as industrial networks, such as Smart Grid. For each type of network, a generalized target function is described, conditions for self-regulation are formulated, and the process of self-regulation is formally described.