An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions

Author:

Basu Saugata,Pollack Richard,Roy Marie-Françoise

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Reference21 articles.

1. Handbook of combinatorics;N. Alon,1995

2. Algorithms and Computation in Mathematics;S. Basu,2006

3. S. Basu, R. Pollack and M.-F. Roy: On the number of cells defined by a family of polynomials on a variety, Mathematika 43(1) (1996), 120–126.

4. S. Basu, R. Pollack and M.-F. Roy: On the Betti numbers of sign conditions, Proc. Amer. Math. Soc. 133(4) (2005), 965–974 (electronic).

5. J. Bochnak, M. Coste and M.-F. Roy: Géométrie algébrique réelle, in: Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 12, Springer-Verlag, Berlin, 1987.

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1. VC density of definable families over valued fields;Journal of the European Mathematical Society;2021-03-17

2. Refined Bounds on the Number of Connected Components of Sign Conditions on a Variety;Discrete & Computational Geometry;2011-11-30

3. An Efficient Algorithm for the Sign Condition Problem in the Semi-algebraic Context;Advances in Geometric Modeling and Processing;2010

4. VC Dimensions of Principal Component Analysis;Discrete & Computational Geometry;2009-12-30

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