Corporate Computer Networks with Destruction and Restoration. Phase Transition in Growing Networks
"Математика. Компьютер. Образование". Cб. трудов XIV международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2007. Vol. 2, 392pp. Pp. 48-59.
Fault tolerance of the finite computer network with full graph which elements have probability of refusal and probability of restoration after refusal is investigated. The analytical estimation of probability of non-failure operation of a network as a whole is given during set time in view of possible redistribution of functions between elements of one kind. For growing networks presence of phase transition on parameter of rate of growth is proved. At fast enough growth the network has positive probability of unlimited non-failure operation.