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ORCIDSaugata Basu
- > Home > Persons > Saugata Basu
Publications
- 2022
[j33]Saugata Basu, Cordian Riener
:
Vandermonde Varieties, Mirrored Spaces, and the Cohomology of Symmetric Semi-algebraic Sets. Found. Comput. Math. 22(5): 1395-1462 (2022)- 2016
- [i25]Saugata Basu, Cordian Riener:
Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets. CoRR abs/1608.06828 (2016) - [i24]Saugata Basu, Cordian Riener:
On the equivariant Betti numbers of symmetric semi-algebraic sets: vanishing, bounds and algorithms. CoRR abs/1610.04946 (2016) - 2015
- [i21]Saugata Basu, Cordian Riener:
On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities. CoRR abs/1503.00138 (2015) - 2014
- [j26]Saugata Basu, Marie-Françoise Roy:
Divide and Conquer Roadmap for Algebraic Sets. Discret. Comput. Geom. 52(2): 278-343 (2014) - [j25]Saugata Basu, Marie-Françoise Roy, Mohab Safey El Din, Éric Schost:
A Baby Step-Giant Step Roadmap Algorithm for General Algebraic Sets. Found. Comput. Math. 14(6): 1117-1172 (2014) - 2013
- [j24]Saugata Basu, Andrei Gabrielov, Nicolai N. Vorobjov Jr.:
A Helly-Type Theorem for Semi-monotone Sets and Monotone Maps. Discret. Comput. Geom. 50(4): 857-864 (2013) - [i15]Saugata Basu, Cordian Riener:
Bounding the equivariant Betti numbers and computing the generalized Euler-Poincaré characteristic of symmetric semi-algebraic sets. CoRR abs/1312.6582 (2013) - 2012
- [i14]Saugata Basu, Marie-Françoise Roy, Mohab Safey El Din, Éric Schost:
A baby step-giant step roadmap algorithm for general algebraic sets. CoRR abs/1201.6439 (2012) - 2010
- [j21]Saugata Basu, Thierry Zell:
Polynomial Hierarchy, Betti Numbers, and a Real Analogue of Toda's Theorem. Found. Comput. Math. 10(4): 429-454 (2010) - [j20]Saugata Basu, Marie-Françoise Roy:
Bounding the radii of balls meeting every connected component of semi-algebraic sets. J. Symb. Comput. 45(12): 1270-1279 (2010) - 2009
- [j19]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions. Comb. 29(5): 523-546 (2009) - [c17]Saugata Basu, Thierry Zell:
Polynomial Hierarchy, Betti Numbers and a Real Analogue of Toda's Theorem. FOCS 2009: 73-82 - [i12]Saugata Basu, Richard Leroy, Marie-Françoise Roy:
A bound on the minimum of a real positive polynomial over the standard simplex. CoRR abs/0902.3304 (2009) - [i11]Saugata Basu, Marie-Françoise Roy:
Bounding the radii of balls meeting every connected component of semi-algebraic sets. CoRR abs/0911.1340 (2009) - 2008
- [j17]Saugata Basu, Thierry Zell:
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities. Discret. Comput. Geom. 39(1-3): 100-122 (2008) - [j12]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
Computing the First Betti Number of a Semi-Algebraic Set. Found. Comput. Math. 8(1): 97-136 (2008) - [i8]Saugata Basu, Thierry Zell:
Polynomial hierarchy, Betti numbers and a real analogue of Toda's theorem. CoRR abs/0812.1200 (2008) - 2007
- [i6]Saugata Basu, Dmitrii V. Pasechnik, Marie-Françoise Roy:
Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials. CoRR abs/0708.3522 (2007) - 2006
- [i4]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
Computing the First Betti Numberand Describing the Connected Components of Semi-algebraic Sets. CoRR abs/math/0603248 (2006) - [i3]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
An asymptotically tight bound on the number of connected components of realizable sign conditions. CoRR abs/math/0603256 (2006) - 2005
- [j9]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
Computing the euler-poincaré characteristics of sign conditions. Comput. Complex. 14(1): 53-71 (2005) - [c14]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
Computing the first Betti number and the connected components of semi-algebraic sets. STOC 2005: 304-312 - 2004
- [c11]Saugata Basu, Raghavan Dhandapani, Richard Pollack:
On the Realizable Weaving Patterns of Polynomial Curves in R3. GD 2004: 36-42 - 2001
- [e1]Saugata Basu, Laureano González-Vega:
Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, Proceedings of a DIMACS Workshop, Piscataway, NJ, USA, March 12-16, 2001. DIMACS Series in Discrete Mathematics and Theoretical Computer Science 60, DIMACS/AMS 2001, ISBN 0-8218-2863-0 [contents] - 1998
- [c7]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
Complexity of Computing Semi-Algebraic Descriptions of the Connected Components of a Semi-Algebraic Set. ISSAC 1998: 25-29 - 1997
- [j3]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
On Computing a Set of Points Meeting Every Cell Defined by a Family of Polynomials on a Variety. J. Complex. 13(1): 28-37 (1997) - 1996
- [j2]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
On the Combinatorial and Algebraic Complexity of Quantifier Elimination. J. ACM 43(6): 1002-1045 (1996) - [c4]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
Computing Roadmaps of Semi-Algebraic Sets (Extended Abstract). STOC 1996: 168-173 - 1994
- [c2]Saugata Basu, Richard Pollack, Marie-Françoise Roy:
On the Combinatorial and Algebraic Complexity of Quantifier Elimination. FOCS 1994: 632-641
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