Graph self-regulation of various types of networks with adaptive topology

Approaches to 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, such as peer-to-peer and heterogeneous sensor net works, as well as industrial networks using the example of Smart Grid smart energy con sumption networks. A generalized objective function is described for each type of network, conditions for self-regulation are formulated, and the process of self-regulation is formally described.