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Nicolai Vorobjov
Nicolai Vorobjov
Verified email at cs.bath.ac.uk
Title
Cited by
Cited by
Year
Solving systems of polynomial inequalities in subexponential time
DY Grigor'ev, NN Vorobjov Jr
Journal of symbolic computation 5 (1-2), 37-64, 1988
5081988
Complexity of computations with Pfaffian and Noetherian functions
A Gabrielov, N Vorobjov
Normal forms, bifurcations and finiteness problems in differential equations …, 2004
1162004
Counting connected components of a semialgebraic set in subexponential time
DY Grigor'ev, NN Vorobjov Jr
Computational Complexity 2 (2), 133-186, 1992
1111992
Complexity of Null-and Positivstellensatz proofs
D Grigoriev, N Vorobjov
Annals of Pure and Applied Logic 113 (1-3), 153-160, 2001
1102001
Betti numbers of semialgebraic and sub-Pfaffian sets
A Gabrielov, N Vorobjov, T Zell
Journal of the London Mathematical Society 69 (1), 27-43, 2004
612004
Complexity of stratification of semi-Pfaffian sets
A Gabrielov, N Vorobjov
Discrete & computational geometry 14 (1), 71-91, 1995
561995
Approximation of definable sets by compact families, and upper bounds on homotopy and homology
A Gabrielov, N Vorobjov
Journal of the London Mathematical Society 80 (1), 35-54, 2009
542009
Finding connected components of a semialgebraic set in subexponential time
J Canny, DY Grigor'ev, NN Vorobjov Jr
Applicable Algebra in Engineering, Communication and Computing 2 (4), 217-238, 1992
531992
Betti numbers of semialgebraic sets defined by quantifier-free formulae
A Gabrielov, N Vorobjov
Discrete & Computational Geometry 33 (3), 395-401, 2005
492005
Complexity of cylindrical decompositions of sub-Pfaffian sets
A Gabrielov, N Vorobjov
Journal of Pure and Applied Algebra 164 (1-2), 179-197, 2001
422001
Bounds on numers of vectors of multiplicities for polynomials which are easy to compute
D Grigoriev, N Vorobjov
Proceedings of the 2000 international symposium on Symbolic and algebraic …, 2000
312000
Complexity of finding irreducible components of a semialgebraic set
A Galligo, N VOROBJov
Journal of Complexity 11 (1), 174-193, 1995
301995
On the number of homotopy types of fibres of a definable map
S Basu, N Vorobjov
Journal of the London Mathematical Society 76 (3), 757-776, 2007
292007
Pfaffian hybrid systems
M Korovina, N Vorobjov
International Workshop on Computer Science Logic, 430-441, 2004
292004
Complexity lower bounds for computation trees with elementary transcendental function gates
D Grigoriev, N Vorobjov
Theoretical computer science 157 (2), 185-214, 1996
281996
Improved lower bound on testing membership to a polyhedron by algebraic decision trees
D Grigoriev, M Karpinski, N Vorobjov
Proceedings of IEEE 36th Annual Foundations of Computer Science, 258-265, 1995
231995
Semi-monotone sets.
S Basu, A Gabrielov, N Vorobjov
Journal of the European Mathematical Society (EMS Publishing) 15 (2), 2013
222013
Complexity of computing the local dimension of a semialgebraic set
N Vorobjov
Journal of Symbolic Computation 27 (6), 565-579, 1999
211999
Computing the complexification of a semi-algebraic set
MF Roy, N Vorobjov
Proceedings of the 1996 international symposium on Symbolic and algebraic …, 1996
201996
Deciding consistency of systems of polynomial in exponent inequalities in subexponential time
NN Vorobjov Jr
Effective Methods in Algebraic Geometry, 491-500, 1991
201991
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Articles 1–20