Solving systems of polynomial inequalities in subexponential time DY Grigor'ev, NN Vorobjov Jr Journal of symbolic computation 5 (1-2), 37-64, 1988 | 407 | 1988 |
Counting connected components of a semialgebraic set in subexponential time DY Grigor'ev, NN Vorobjov Computational Complexity 2 (2), 133-186, 1992 | 86 | 1992 |
Complexity of computations with Pfaffian and Noetherian functions A Gabrielov, N Vorobjov Normal forms, bifurcations and finiteness problems in differential equations
, 2004 | 85 | 2004 |
Complexity of Null-and Positivstellensatz proofs D Grigoriev, N Vorobjov Annals of Pure and Applied Logic 113 (1-3), 153-160, 2001 | 83 | 2001 |
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 | 55 | 2004 |
Complexity of stratification of semi-Pfaffian sets A Gabrielov, N Vorobjov Discrete & Computational Geometry 14 (1), 71-91, 1995 | 44 | 1995 |
Betti numbers of semialgebraic sets defined by quantifier-free formulae A Gabrielov, N Vorobjov Discrete & Computational Geometry 33 (3), 395-401, 2005 | 43 | 2005 |
Finding connected components of a semialgebraic set in subexponential time J Canny, DY Grigor'ev, NN Vorobjov Applicable Algebra in Engineering, Communication and Computing 2 (4), 217-238, 1992 | 42 | 1992 |
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 | 34 | 2009 |
Complexity of cylindrical decompositions of sub-Pfaffian sets A Gabrielov, N Vorobjov Journal of Pure and Applied Algebra 164 (1-2), 179-197, 2001 | 33 | 2001 |
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 | 30 | 2000 |
Pfaffian hybrid systems M Korovina, N Vorobjov International Workshop on Computer Science Logic, 430-441, 2004 | 28 | 2004 |
Complexity of finding irreducible components of a semialgebraic set A Galligo, N Vorobjov Journal of Complexity 11 (1), 174-193, 1995 | 25 | 1995 |
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 | 23 | 2007 |
Computing the Complexification of a Semi-algebraic Set MF Roy, N Vorobjov Proceedings of the 1996 international symposium on Symbolic and algebraic
, 1996 | 22 | 1996 |
Complexity lower bounds for computation trees with elementary transcendental function gates D Grigoriev, N Vorobjov Theoretical computer science 157 (2), 185-214, 1996 | 21 | 1996 |
Upper and lower bounds on sizes of finite bisimulations of Pfaffian hybrid systems M Korovina, N Vorobjov Conference on Computability in Europe, 267-276, 2006 | 19 | 2006 |
The complexity of deciding consistency of systems of polynomials in exponent inequalities NN Vorobjov Jr Journal of symbolic computation 13 (2), 139-173, 1992 | 18 | 1992 |
Semi-monotone sets S Basu, A Gabrielov, N Vorobjov arXiv preprint arXiv:1004.5047, 2010 | 17 | 2010 |
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 | 17 | 1995 |