Nikolai N. Kuzjurin
SELECTED PAPERS:
- Uber minimale Uberdecungen auf einer n-elementigen Menge,
Math.-Nat. R., Wiss. Zeitschrift der Humboldt-Universitat zu,
Berlin, 1975, XXIV, N 6.
- On mimimal coverings and packings of (k-1)-tuples by k-tuples
(in Russian), Matem. Zametki, 1977, v. 21, N 4, pp. 565 - 571,
(translated in English, published in Math. Notes).
- A survey on the set covering problem (in Russian), in: Diskret.
analysis, 1977, N 30, Novosibirsk, pp. 46 - 75 (coauthors A.
Sapozhenko, A. Asratjan).
- Some recurrent and asymptotical bounds for set covering problem
(in Russian), Matem. Zametki, 1979, v. 26, N 4, pp. 603 - 611,
(translated in English, published in Math. Notes).
- On some asymptotically optimal packings (in Russian), in:
Combinatorial and algebraic methods in applied mathematics,
Gor'kii, 1979, pp. 57 - 65 (in Russian).
- On approximation search of maximal upper zero for monotone
functions of k-valued logic (in Russian), in: Methods of discrete
analysis for solving extremal problems, Novosibirsk, 1979, N 33,
pp. 31 - 40.
- Asymptotical investigation of set covering problem (in Russian),
in: Problemi kibernetiki, M., Nauka, 1980, N 37, pp. 19 - 57.
- On the alpha-height of (0,1)-matrices (in
Russian), in: Voprosi kibernetiki. Discret. Math. and
Cybernetics, M,, 1982, pp. 131 - 139.
- One limit theorem about (n,k,l)-coverings, Rostock
Math. Kolloq. 1982, N 21, pp. 59 - 62.
- On the complexity of approximation algorithms for integer
linear programming (in Russian), J. Vichislit. Matem. i Matem.
Fiziki, 1984, N 1 (translated in English in J.
of Comput. Math. and Math. Physics).
- Algorithms and programs for implementation of mathematical
functions on pipe-lined computers, in "Questions in cybernetics.
Problems of developing supercomputers", Moscow, 1984 (coauthor
A.V. Shokurov).
- An asymptotic formula for the maximum size of an h-family in
products of partially ordered sets, J. Comb. Theory, Ser. A.,
1984, v. 37, N 3, pp. 337 - 347. (coauthor K. Engel)
- About the ratio of the size of a maximum antichain to the size of
a maximum level in finite partially ordered sets, Combinatorica,
1985, v. 5, N 4, pp. 301 - 309. (coauthor K. Engel).
- Parallelization of arithmetic expressions with logarithmic bounds
on rounding errors (in Russian), Sb. Questions in cybernetics,
1984, Moscow, Academy of Science of the USSR.
- On constructions of multiprocessor and pipe-lined schedulings
close to optimal (in Russian), Sb. Voprosi kibernetiki. Design
and Applications of Supercomputers, M., 1987, pp. 84 - 95.
- Sorting on vector and pipe-lined computers (in Russian), in:
Cybernetics Questions. Effective computations on supercomputers,
M., 1988. (coauthor T.V.Poljakova).
- Linear boolean programming and some combinatorial problems (in
Russian), Computer and the Choice Problem, Moscow, Nauka, 1989, pp.
144 - 160.
- Asymptotically exact polynomial algorithms for integer linear
programming (in Russian), Discretnaja Matem., 1989, v.1, N 2,
pp. 78 - 85, (translated in English in Discrete
Math. and Applications).
- Parallel computations: theory and algorithms (in Russian),
Programming, 1991, N 2 (coauthor M.A. Frumkin)
- Parallel computations: theory and algorithms (in Russian), Itogi
nauki, Computer science, VINITI, 1991, v. 8, pp. 3 - 211.
(coauthor M.A.Frumkin).
- On the relationship between the optima of linear and integer
linear programming (in Russian), Discretnaja Matem., 1991, v.3, N
1, pp. 98 - 104 (translated in English in Discrete Math. and
Applications).
- On the automorphism conjecture for products of ordered sets.
Order, 1992, v. 9, P. 205-208.
- A parallel O(log2 n)-time algorithm for set balancing
problem, Discrete Math. (in Russian, translated in English
in Discrete Math. and Applications), 1992, v. 3, N 4.
- On (n,k,l, Delta)-systems, Preprint, Glasgow University,
1993 (coauthor S.D.Cohen).
- Multiprocessor scheduling and expanders, Information Process.
Letters, 1994, v. 51, N 6, P. 315-319.
- On a covering radius of equal-weight codes, Preprint,
Glasgow University, 1994 (coauthor S.D.Cohen).
- A parallel algorithm for fixed-dimensional linear programming,
Parallel Algorithms and Applications, 1995, v. 5, N 34, P. 17-24
(coauthor L.V. Shabanov).
- On the difference between asymptotically good packings and
coverings, European J. Combinatorics, 1995, v. 16, P. 35-40.
- On (n,k,l,Delta)-systems, Proc. Edinburg Math. Soc., 1995,
v. 38, P. 53-62 (coauthor S.D. Cohen).
- A distributed algorithm for solving systems of Boolean
equations, in: Questions in cybernetics. System programming
applications, Moscow, VINITI, 1995, pp. 230-241 (coauthor
Leonid V. Shabanov).
- Multiprocessor schedulings and combinatorial configurations,
Discrete Math., 1995, v. 7, N 2, pp. 77-87.
- Metric relations in integer programming.
Russian Math. Doklady. 1995, v. 340, N 3, P. 308-310.
- An algorithm for integer programming polynomial in the average case.
Russian Math. Doklady. 1995, v. 343, N 1.
- Metric aspects of integer programming. - Discrete Math. (in
Russian, translated in English in Discrete
Math. and Applications), 1994, v. 6, N 4, P. 87-106.
- An algorithm for integer programming polynomial in the average case,
Siberian Journal of Operation Research (in Russian, translated
in English in Discrete Analysis and Operation Research), 1994, v.
1, N 3, P. 38-48.
- On maximal alpha-height of (0,1)-matrices from Ryser's classes
Russian Math. Doklady. 1996, v. 350, N 1, P. 12-13 (in Russian).
- Bounds of optima of covering integer linear problems,
In "Combinatorial Models and Methods", N 2,
Moscow, Computer Center, 1997, P. 57-72 (in Russian).
- On a combinatorial problem related with bounds of dimension of
posets, In "Combinatorial Models and Methods", N 2,
Moscow, Computer Center, 1997, P. 10-14 (in Russian).
- Approximations of integer linear programs, In.
"Combinatorial Models and Methods", 1995, P. 5-14 (in Russian).
- Almost optimal enumeration of asymptotically good packings and
coverings, In "Combinatorial Optimization Methods", Moscow,
Computer Center, 1997, P. 12-29 (in Russian).
- Distributed desicion making, In "Combinatorial
Optimization Methods", Moscow, Computer Center, 1997, P.
30-36 (in Russian).
- On the complexity of constructions of asymptotically good packings and
coverings, Russian Math. Dokl. 1998, v. 363, N 1.
- On a conjecture of Kierstead, Preprint 97-111, SFB 343, Bielefeld
University, 1997.
- Locally explicit constructions of Rodl's asymptotically good packings,
Proc. 23rd Int. Symp. Mathematical Foundations in Computer Science MFCS'98,
Lecture Notes in Computer Science, v. 1450, 1998, Springer, pp. 194-202.
- On the number of nearly perfect matchings in almost regular uniform hypergraphs,
Discrete Math., v. 207, 1999, 1-8 (coauthor A. Asratian).
- On optima of generalized covering integer programs, Lulea
University, Dep. of Mathematics, Research Report 7, 1999
(coauthor A. Asratian).
- New class of 0-1 integer programs with efficient approximation,
Lulea University, Dep. of Mathematics, Research Report 8, 1999
(coauthor A. Asratian, to appear in Math. Methods in Oper. Research).
- Two sensitivity theorems in fuzzy integer programming, Lulea University,
Dep. of Mathematics, Research Report 2, 2000 (to appear in Discrete Applied Math.,
coauthor A. Asratian).
- Approximations optima of packing-covering integer programs, Discret. Math.,
v. 12 (1), 2000, 96-106 (coauthor A. Asratian).
- On the number of Partial Steiner systems, J. of Combinatorial Designs, v. 8,
2000, 347-352 (coauthor A. Asratian).
- Explicit constructions of Rodl's asymptotically good packings
and coverings, Combinatorics, Probability and Computing, v. 9, 2000, 265-276.
- On the packing radius and the covering radius of equal-weight codes,
Discrete Math., v. 213, 2000, 35-42 (coauthor S.D. Cohen).