Geodesic

Sommaire du Fascicule no. 1

Analysis of behaviour of automata
p. 3-35
Identities with permutations leading to linearity of quasigroups
p. 36-51
On layers in the system of generators of the subdirect product of subgroups of a~finite group
p. 52-65
On distribution of some classes of monotone $k$-valued functions on the lattice of closed classes
p. 66-77
On the automorphisms of the strongly regular graph with parameters $(85, 14, 3, 2)$
p. 78-104
Limit theorems for the number of dense series in a~random sequence
p. 105-116
Critical branching random walks on low-dimensional lattices
p. 117-138
New upper bounds for the problem of maximal satisfiability
p. 139-157

Sommaire du Fascicule no. 2

Reconstruction of automata by fragments of behaviour
p. 3-42
Finite cooperative games: parametrisation of the concept of equilibrium (from Pareto to Nash) and stability of the efficient situation in the H\"older metric
p. 43-50
New methods of investigation of perfectly balanced Boolean functions
p. 51-74
On completeness and $A$-completeness of $S$-sets of determinate functions containing all one-place determinate $S$-functions
p. 75-87
On repetition-free Boolean functions over pre-elementary monotone bases
p. 88-93
Maximal groups of invariant transformations of multiaffine, bijunctive, weakly positive, and weakly negative Boolean functions
p. 94-101
On reliability of circuits over the bases $\{\sim,\,\oplus\}$, $\{\sim,\,0\}$, $\{\oplus,\,1\}$, $\{\oplus,\vee,1\}$ in the case of faults of type~0 at the outputs of elements
p. 102-111
Asymptotic normality of the number of absent noncontinuous chains of outcomes of independent trials
p. 112-125
On a~class of statistics of polynomial samples
p. 126-137
On one statistical model of steganography
p. 138-145
The diameter of the ridge-graph of a~cyclic polytope
p. 146-152
On the edge colouring of bipartite graphs
p. 153-158

Sommaire du Fascicule no. 3

On five types of stability of the lexicographic variant of the combinatorial bottleneck problem
p. 3-13
On the limit distributions of the vertex degrees of conditional Internet graphs
p. 14-23
On the estimation of the periods of noisy binary periodic sequences
p. 24-32
On a~constructive approach to the calculation of cardinality of the Ryser classes
p. 33-36
Positively closed classes of three-valued logic generated by one-place functions
p. 37-44
On the game-theoretical approach to the analysis of authentication codes
p. 45-72
On combinatorial Gray codes with distance~3
p. 73-78
Optimal paths in oriented graphs and eigenvectors in $\max$-$\oplus$ systems
p. 79-98
The factorisation of one-generated partially foliated formations
p. 99-118
On finite lattices of topologies of commutative unary algebras
p. 119-131
The key space of the McEliece--Sidelnikov cryptosystem
p. 132-159

Sommaire du Fascicule no. 4

On quantum realisation of Boolean functions by the fingerprinting technique
p. 3-19
On the complexity of representation of $k$-valued functions by generalised polarised polynomials
p. 20-29
Finding and estimating the number of repetition-free Boolean functions over the elementary basis in the form of a~convergent series
p. 30-38
Periods of output sequences of an automaton for a~given periodic input sequence
p. 39-59
Description of finite nonnilpotent rings with planar zero-divisor graphs
p. 60-75
Rings over which all finitely generated modules are $\aleph_0$-injective
p. 76-81
On some equations related to the $tpp$-groups
p. 82-84
Problems on independence systems solvable by the greedy algorithm
p. 85-94
Defragmentation of permutation tables with four columns
p. 95-104
Nondegenerate colourings in the Brooks theorem
p. 105-128
On the number of boundary classes in the 3-colouring problem
p. 129-134
On the choice of the defence strategy for an authentication code with two-state source
p. 135-147
A parametric model of embedding and its statistical analysis
p. 148-157