-
3
-
-
0020879158
-
Lower bounds for algebraic computation trees
-
M. BEN-OR Lower Bounds for Algebraic Computation Trees, Proc. 15th STOC, 80-86, (1983).
-
(1983)
Proc. 15th STOC
, pp. 80-86
-
-
Ben-Or, M.1
-
4
-
-
0008406362
-
A new algorithm to find a point in every cell defined by a family of polynomials
-
B. Caviness and J. Johnson Eds., Springer Verlag, to appear
-
S. BASU, R. POLLACK, M.-F. ROY A New Algorithm to Find a Point in Every Cell Defined by a Family of Polynomials in "Quantifier Elimination and Cylindrical Algebraic Decomposition", B. Caviness and J. Johnson Eds., Springer Verlag, to appear.
-
Quantifier Elimination and Cylindrical Algebraic Decomposition
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
5
-
-
0002453195
-
On the combinatorial and algebraic complexity of Quantifier Elimination
-
full version to appear in the JACM
-
S. BASU, R. POLLACK, M.-F. ROY On the combinatorial and algebraic complexity of Quantifier Elimination, Proc. 35th IEEE Symp. on Foundations of Computer Science, 632-642, (1994) (full version to appear in the JACM).
-
(1994)
Proc. 35th IEEE Symp. on Foundations of Computer Science
, pp. 632-642
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
6
-
-
85031745409
-
Computing points meeting every cell on a variety
-
Randy Wilson and Jean-Claude Latombe Eds., A. K. Peters, Boston, MA
-
S. BASU, R. POLLACK, M.-F. ROY. Computing points meeting every cell on a variety. In The First Workshop on the Algorithmic Foundations of Robotics, Randy Wilson and Jean-Claude Latombe Eds., A. K. Peters, Boston, MA, (1994).
-
(1994)
The First Workshop on the Algorithmic Foundations of Robotics
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
8
-
-
0004987741
-
Computing road maps in general semialgebraic sets
-
J. CANNY, Computing road maps in general semialgebraic sets, the Computer Journal, 36:504-514, (1993).
-
(1993)
The Computer Journal
, vol.36
, pp. 504-514
-
-
Canny, J.1
-
9
-
-
0027929096
-
Computational geometry: A retrospective
-
B. CHAZELLE Computational Geometry: A Retrospective, Proc. 36th STOC, 75-94, (1994).
-
(1994)
Proc. 36th STOC
, pp. 75-94
-
-
Chazelle, B.1
-
10
-
-
0002662852
-
Quantifier elimination for real closed fields by cylindrical algebraic decomposition
-
G. E. COLLINS, Quantifier elimination for real closed fields by cylindrical algebraic decomposition Springer Lecture Notes in Computer Science 33, 515-532.
-
Springer Lecture Notes in Computer Science
, vol.33
, pp. 515-532
-
-
Collins, G.E.1
-
12
-
-
0027969692
-
Bounding the number of geometric permutations induced by k-transversals
-
journal version to appear in the Journal of Combinatorial Theory, Series A
-
J. E. GOODMAN, R. POLLACK, R. WENGER, Bounding the Number of Geometric Permutations Induced by k-transversals, Proc. 10th Annual Symposium on Computational Geometry, (1994) (journal version to appear in the Journal of Combinatorial Theory, Series A).
-
(1994)
Proc. 10th Annual Symposium on Computational Geometry
-
-
Goodman, J.E.1
Pollack, R.2
Wenger, R.3
-
13
-
-
0039324762
-
Counting connected components of a semi-algebraic set in subexponential time
-
D. GRIGOR'EV, N. VOROBJOV Counting connected components of a semi-algebraic set in subexponential time. Comput. Complexity, 2:133-186 (1992).
-
(1992)
Comput. Complexity
, vol.2
, pp. 133-186
-
-
Grigor'Ev, D.1
Vorobjov, N.2
-
14
-
-
0038988531
-
-
Technical Report, DMI, Ecole Normale Superieure, Paris, France
-
L. GOURNAY, J. J. RISLER Construction of roadmaps of semi-algebraic sets. Technical Report, DMI, Ecole Normale Superieure, Paris, France (1992).
-
(1992)
Construction of Roadmaps of Semi-algebraic Sets
-
-
Gournay, L.1
Risler, J.J.2
-
16
-
-
51249167424
-
Description of the connected components of a semi-algebraic set in single exponential time
-
J. HEINTZ, M.-F. ROY, P. SOLERNÒ Description of the Connected Components of a Semi-algebraic Set in Single Exponential Time, Discrete and Computational Geometry 11:121-140, (1994).
-
(1994)
Discrete and Computational Geometry
, vol.11
, pp. 121-140
-
-
Heintz, J.1
Roy, M.-F.2
Solernò, P.3
-
17
-
-
0039639540
-
-
Ed. J. E. Goodman, R. Pollack and W. Steiger, AMS and ACM
-
J. HEINTZ, T. RECIO, M.-F. ROY Algorithms in Real Algebraic Geometry and Applications to Computational Geometry Discrete and Computational Geometry: Selected Papers from the DIMACS Special Year, Ed. J. E. Goodman, R. Pollack and W. Steiger, AMS and ACM, 6:137-164, (1991).
-
(1991)
Algorithms in Real Algebraic Geometry and Applications to Computational Geometry Discrete and Computational Geometry: Selected Papers from the DIMACS Special Year
, vol.6
, pp. 137-164
-
-
Heintz, J.1
Recio, T.2
Roy, M.-F.3
-
18
-
-
0004190360
-
-
Annals of Mathematical Studies, Princeton University Press
-
J. MRLNOR Morse Theory, Annals of Mathematical Studies, Princeton University Press.
-
Morse Theory
-
-
Mrlnor, J.1
-
19
-
-
84966260816
-
On the betti numbers of real varieties
-
J. MLLNOR On the Betti numbers of real varieties, Proc. AMS 15, 275-280, (1964).
-
(1964)
Proc. AMS
, vol.15
, pp. 275-280
-
-
Mllnor, J.1
-
20
-
-
0001435982
-
On the topology of real algebraic surfaces
-
O. A. OLEINIK, I. B. PETROVSKII On the topology of real algebraic surfaces, Izv. Akad. Nauk SSSR 13, 389-402, (1949).
-
(1949)
Izv. Akad. Nauk SSSR
, vol.13
, pp. 389-402
-
-
Oleinik, O.A.1
Petrovskii, I.B.2
-
22
-
-
0002240938
-
On the number of cells defined by a set of polynomials
-
R. POLLACK, M.-F. ROY On the number of cells defined by a set of polynomials, C. R. Acad. Sci. Paris, 316:573-577, (1993).
-
(1993)
C. R. Acad. Sci. Paris
, vol.316
, pp. 573-577
-
-
Pollack, R.1
Roy, M.-F.2
-
23
-
-
0000413093
-
Counting real zeroes in the multivariate case
-
Eyssette et Galligo ed. Progress in Mathematics, Birkhauser
-
P. PEDERSEN, M.-F. ROY, A. SZPIRGLAS Counting real zeroes in the multivariate case. Computational algebraic geometry, Eyssette et Galligo ed. Progress in Mathematics 109, 203-224, Birkhauser (1993).
-
(1993)
Computational Algebraic Geometry
, vol.109
, pp. 203-224
-
-
Pedersen, P.1
Roy, M.-F.2
Szpirglas, A.3
-
24
-
-
0347647219
-
On the 'piano movers' problem II. General techniques for computing topological properties of real algebraic manifolds
-
J. SCHWARTZ, M. SHARIR On the 'piano movers' problem II. General techniques for computing topological properties of real algebraic manifolds. Advances in Applied Mathematics 4, 298-351.
-
Advances in Applied Mathematics
, vol.4
, pp. 298-351
-
-
Schwartz, J.1
Sharir, M.2
-
25
-
-
0002586126
-
-
Differential and Combinatorial Topology, Ed. S. S. Cairns, Princeton Univ. Press
-
R. THOM Sur l'homologie des varietes algebriques reelles, Differential and Combinatorial Topology, Ed. S. S. Cairns, Princeton Univ. Press, 255-265, (1965).
-
(1965)
Sur l'Homologie des Varietes Algebriques Reelles
, pp. 255-265
-
-
Thom, R.1
-
26
-
-
0027940782
-
Decision tree complexity and betti numbers
-
A. C. YAO Decision Tree Complexity and Betti Numbers, Proceedings of the 26th STOC 615-624, (1994).
-
(1994)
Proceedings of the 26th STOC
, pp. 615-624
-
-
Yao, A.C.1
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