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 A fast algorithm for the construction of polynomials modulo $k$ for $k$-valued functions for composite $k$S. N. Selezneva 3 Some nonequiprobable models of random permutationsG. I. Ivchenko, M. V. Soboleva 23 Automaton representation of a free groupS. V. Aleshin 32 On estimation of the number of graphs in some hereditary classesV. A. Zamaraev 57 An asymptotic upper bound for the chromatic index of random hypergraphsYu. A. Budnikov 63 On stability of the gradient algorithm in convex discrete optimisation problems and related questionsA. B. Ramazanov 82 Minor rank, zeros of the determinant of a Boolean matrix, and their applicationsV. B. Poplavskii 93 Rings over which all modules are completely integrally closedA. A. Tuganbaev 120 A criterion for reducibility of the problem on dangerous closeness to one-dimensional interval searchE. A. Snegova 138