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Diskretnaya Matematika
Tome 30 (2018)
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Sommaire du
Fascicule no. 1
Decomposable branching processes with two types of particles
V. A. Vatutin
;
E. E. D'yakonova
p. 3-18
Cardinality of generating sets for operations from the Post lattice classes
S. A. Komkov
p. 19-38
Boolean functions as points on the hypersphere in the Euclidean space
O. A. Logachev
;
S. N. Fedorov
;
V. V. Yashchenko
p. 39-55
Generation of the alternating group by modular additions
F. M. Malyshev
p. 56-65
On the reduction property of the number of
$H$
-equivalent tuples of states in a discrete Markov chain
V. G. Mikhailov
p. 66-76
On the asymptotics of degree structure of configuration graphs with bounded number of edges
Yu. L. Pavlov
;
I. A. Cheplyukova
p. 77-94
Necessary conditions of applicability of Gaussian elimination to systems of equations over quasigroups
S. V. Polin
p. 95-113
On some properties of vector functionsof Boolean algebra
V. A. Taimanov
p. 114-128
Modules over strongly semiprime rings
A. A. Tuganbaev
p. 129-135
Sommaire du
Fascicule no. 2
On closed classes in partial
$k$
-valued logic that contain the class of monotone functions
V. B. Alekseev
p. 3-13
A subcritical decomposable branching process in a mixed environment
E. E. D'yakonova
p. 14-26
Estimates of the mean size of the subset image under composition of random mappings
A. M. Zubkov
;
A. A. Serov
p. 27-36
Existence of words over a binary alphabet free from squares with mismatches
N. V. Kotlyarov
p. 37-54
Centrally essential rings
V. T. Markov
;
A. A. Tuganbaev
p. 55-61
Formulas for a characteristic of spheres and balls in binary high-dimensional spaces
V. G. Mikhailov
p. 62-72
Improved asymptotic estimates for the numbers of correlation-immune and
$k$
-resilient vectorial Boolean functions
K. N. Pankov
p. 73-98
Families of quasigroup operations satisfying the generalized distributive law
S. V. Polin
p. 99-119
On the complexity of bounded-depth circuits and formulas over the basis of fan-in gates
I. S. Sergeev
p. 120-137
Analogues of Gluskin--Hossz\'{u} and Malyshev theorems for strongly dependent
$n$
-ary operations
A. V. Cheremushkin
p. 138-147
Finite algebras of Bernoulli distributions
A. D. Yashunskii
p. 148-161
Sommaire du
Fascicule no. 3
Durfee squares in compositions
M. Archibald
;
A. Blecher
;
Ch. Brennan
;
A. Knopfmacher
;
T. Mansour
p. 3-13
On relationship between the parameters characterizing nonlinearity and nonhomomorphy of vector spaces transformation
D. A. Burov
p. 14-24
Reduced critical Bellman--Harris branching processes for small populations
V. A. Vatutin
;
W. Hong
;
Ya. Ji
p. 25-39
Periodic properties of pushdown automata
I. E. Ivanov
p. 40-47
On coincidences of tuples in a
$q$
-ary tree with random labels of vertices
V. I. Kruglov
p. 48-67
Burnside-type problems in discrete geometry
L. V. Kuz'min
p. 68-76
On affine classification of permutations on the space
$GF(2)^3$
F. M. Malyshev
p. 77-87
Limit distributions of the maximal distance to the nearest neighbour
O. P. Orlov
p. 88-98
Short single tests for circuits with arbitrary stuck-at faults at outputs of gates
K. A. Popkov
p. 99-116
Asymptotics for the logarithm of the number of
$k$
-solution-free sets in Abelian groups
A. A. Sapozhenko
;
V. G. Sargsyan
p. 117-126
On weak positive predicates over a finite set
S. N. Selezneva
p. 127-140
On the distribution of multiple power series regularly varying at the boundary point
A. L. Yakymiv
p. 141-158
Sommaire du
Fascicule no. 4
The complexity of checking the polynomial completeness of finite quasigroups
A. V. Galatenko
;
A. E. Pankratiev
p. 3-11
On a method of synthesis of correlation-immune Boolean functions
E. K. Karelina
p. 12-28
On the
$\Delta$
-equivalence of Boolean functions
O. A. Logachev
;
S. N. Fedorov
;
V. V. Yashchenko
p. 29-40
Centrally essential rings which are not necessarily unital or associative
V. T. Markov
;
A. A. Tuganbaev
p. 42-47
Completeness criterion for the enumeration closure operator in three-valued logic
S. S. Marchenkov
p. 47-54
Orthomorphisms of Abelian groups with minimum possible pairwise distances
A. V. Menyachikhin
p. 55-65
Classification of distance-transitive orbital graphs of overgroups of the Jevons group
B. A. Pogorelov
;
M. A. Pudovkina
p. 66-87
The generalized complexity of linear Boolean functions
N. P. Red'kin
p. 88-96
The number of sumsets in Abelian group
A. A. Sapozhenko
;
V. G. Sargsyan
p. 96-105
On some implicitly precomplete classes of monotone functions in
$P_k$
M. V. Starostin
p. 106-114
Trees without twin-leaves with smallest number of maximal independent sets
D. S. Taletskii
;
D. S. Malyshev
p. 115-133
Limit theorems for some classes of power series type distributions
A. N. Timashev
p. 134-145