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1

Polynomials that Sign Represent Parity and Descartes’ Rule of Signs

Saugata Basu, Nayantara Bhatnagar, Parikshit Gopalan, Richard J. Lipton

Journal:

Computational Complexity

Year:

2008

Language:

english

File:

PDF, 566 KB

english, 2008

2

The Possessed

Samaresh Basu and Saugata Ghosh

Journal:

World Literature Today

Year:

2010

Language:

english

File:

PDF, 372 KB

english, 2010

3

Computing Roadmaps of Semi-Algebraic Sets on a Variety

Saugata Basu, Richard Pollack and Marie-Francoise Roy

Journal:

Journal of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 2.38 MB

english, 2000

4

EGO FUNCTIONS IN RELATION TO STRESSFUL LIFE EVENTS AND INDICES OF PSYCHOPATHOLOGY IN PARANOID SCHIZOPHRENIA 1

BASU, JAYANTI, BASU, SAUGATA, BHATTACHARYYA, SOMNATH

Journal:

Psychological Reports

Year:

2004

Language:

english

File:

PDF, 254 KB

english, 2004

5

Computing the Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials

Saugata Basu, Dmitrii V. Pasechnik, Marie-Françoise Roy

Journal:

Journal of Algebra

Year:

2009

Language:

english

File:

PDF, 357 KB

english, 2009

6

Identity consistency and General Well-Being in college students

Sunandita Dhar, Pia Sen, Saugata Basu

Journal:

Psychological Studies

Year:

2010

Language:

english

File:

PDF, 370 KB

english, 2010

7

[Algorithms and Combinatorics] Discrete and Computational Geometry Volume 25 || Some Algorithms Arising in the Proof of the Kepler Conjecture

Aronov, Boris, Basu, Saugata, Pach, János, Sharir, Micha

Year:

2003

Language:

english

File:

PDF, 367 KB

english, 2003

8

On the combinatorial and algebraic complexity of quantifier elimination

Basu, Saugata, Roy, Marie-Françoise

Journal:

Journal of the ACM

Year:

1996

Language:

english

File:

PDF, 727 KB

english, 1996

9

On a real analog of Bezout inequality and the number of connected components of sign conditions

Barone, Sal, Basu, Saugata

Journal:

Proceedings of the London Mathematical Society

Year:

2016

Language:

english

File:

PDF, 629 KB

english, 2016

10

Bounding the equivariant Betti numbers of symmetric semi-algebraic sets

Basu, Saugata, Riener, Cordian

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 899 KB

english, 2017

11

Multi-degree Bounds on the Betti Numbers of Real Varieties and Semi-algebraic Sets and Applications

Basu, Saugata, Rizzie, Anthony

Journal:

Discrete & Computational Geometry

Year:

2018

Language:

english

File:

PDF, 933 KB

english, 2018

12

An o-minimal Szemerédi–Trotter theorem

Basu, Saugata, Raz, Orit E

Journal:

The Quarterly Journal of Mathematics

Year:

2018

Language:

english

File:

PDF, 651 KB

english, 2018

13

On the Isotypic Decomposition of Cohomology Modules of Symmetric Semi-algebraic Sets: Polynomial Bounds on Multiplicities

Basu, Saugata, Riener, Cordian

Journal:

International Mathematics Research Notices

Year:

2018

Language:

english

File:

PDF, 873 KB

english, 2018

14

On Computing a Set of Points Meeting Every Cell Defined by a Family of Polynomials on a Variety

Saugata Basu, Richard Pollack, Marie-Françoise Roy

Journal:

Journal of Complexity

Year:

1997

Language:

english

File:

PDF, 204 KB

english, 1997

15

Computing the first few Betti numbers of semi-algebraic sets in single exponential time

Journal:

Journal of Symbolic Computation

Year:

2006

Language:

english

File:

PDF, 402 KB

english, 2006

16

Bounding the radii of balls meeting every connected component of semi-algebraic sets

Saugata Basu, Marie-Françoise Roy

Journal:

Journal of Symbolic Computation

Year:

2010

Language:

english

File:

PDF, 249 KB

english, 2010

17

Computing the Betti numbers of arrangements via spectral sequences

Journal:

Journal of Computer and System Sciences

Year:

2003

Language:

english

File:

PDF, 274 KB

english, 2003

18

Computing the euler–poincaré characteristics of sign conditions

Saugata Basu, Richard Pollack, Marie-FrancÇoise Roy

Journal:

Computational Complexity

Year:

2005

Language:

english

File:

PDF, 203 KB

english, 2005

19

Efficient algorithm for computing the Euler–Poincaré characteristic of a semi-algebraic set defined by few quadratic inequalities

Journal:

Computational Complexity

Year:

2006

Language:

english

File:

PDF, 181 KB

english, 2006

20

The Combinatorial and Topological Complexity of a Single Cell

Journal:

Discrete & Computational Geometry

Year:

2002

Language:

english

File:

PDF, 185 KB

english, 2002

21

A Sharper Estimate on the Betti Numbers of Sets Defined by Quadratic Inequalities

Saugata Basu, Michael Kettner

Journal:

Discrete & Computational Geometry

Year:

2008

Language:

english

File:

PDF, 341 KB

english, 2008

22

On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities

Saugata Basu, Thierry Zell

Journal:

Discrete & Computational Geometry

Year:

2008

Language:

english

File:

PDF, 683 KB

english, 2008

23

On the Number of Topological Types Occurring in a Parameterized Family of Arrangements

Journal:

Discrete & Computational Geometry

Year:

2008

Language:

english

File:

PDF, 494 KB

english, 2008

24

Refined Bounds on the Number of Connected Components of Sign Conditions on a Variety

Sal Barone, Saugata Basu

Journal:

Discrete & Computational Geometry

Year:

2012

Language:

english

File:

PDF, 693 KB

english, 2012

25

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

Saugata Basu, Richard Pollack, Marie-Françoise Roy

Journal:

Year:

2009

Language:

english

File:

PDF, 536 KB

english, 2009

26

Computing the Top Betti Numbers of Semialgebraic Sets Defined by Quadratic Inequalities in Polynomial Time

Journal:

Foundations of Computational Mathematics

Year:

2008

Language:

english

File:

PDF, 543 KB

english, 2008

27

Computing the First Betti Number of a Semi-Algebraic Set

Saugata Basu, Richard Pollack, Marie-Françoise Roy

Journal:

Foundations of Computational Mathematics

Year:

2008

Language:

english

File:

PDF, 750 KB

english, 2008

28

Errata for Computing the Top Betti Numbers of Semialgebraic Sets Defined by Quadratic Inequalities in Polynomial Time

Journal:

Foundations of Computational Mathematics

Year:

2008

Language:

english

File:

PDF, 360 KB

english, 2008

29

Polynomial Hierarchy, Betti Numbers, and

Saugata Basu, Thierry Zell

Journal:

Foundations of Computational Mathematics

Year:

2010

Language:

english

File:

PDF, 648 KB

english, 2010

30

Two new species of the genusQuadruspinosporaSarkar et Chakravarty, 1969 (Apicomplexa, Conoidasida) from grasshoppers (Insecta, Orthoptera)

Biplob Kumar Modak, Saugata Basu, Durga Prasad Haldar

Journal:

Acta Parasitologica

Year:

2008

Language:

english

File:

PDF, 777 KB

english, 2008

31

A Complex Analogue of Toda’s Theorem

Journal:

Foundations of Computational Mathematics

Year:

2012

Language:

english

File:

PDF, 1.03 MB

english, 2012

32

Monotone functions and maps

Saugata Basu, Andrei Gabrielov…

Journal:

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

Year:

2013

Language:

english

File:

PDF, 359 KB

english, 2013

33

A Helly-Type Theorem for Semi-monotone Sets and Monotone Maps

Basu, Saugata, Gabrielov, Andrei, Vorobjov, Nicolai

Journal:

Discrete & Computational Geometry

Year:

2013

Language:

english

File:

PDF, 142 KB

english, 2013

34

[Algorithms and Combinatorics] Discrete and Computational Geometry Volume 25 || Covering the Sphere by Equal Spherical Balls

Aronov, Boris, Basu, Saugata, Pach, János, Sharir, Micha

Year:

2003

Language:

english

File:

PDF, 424 KB

english, 2003

35

Impact of Unequal Sharing of Household Resources on Poverty measurement: A Study of Four Indian States

AMITA MAJUMDER and SAUGATA BASU

Journal:

Indian Economic Review

Year:

2006

Language:

english

File:

PDF, 1.06 MB

english, 2006

36

Divide and Conquer Roadmap for Algebraic Sets

Saugata Basu,Marie-Françoise Roy

Journal:

Discrete & Computational Geometry

Year:

2014

Language:

english

File:

PDF, 607 KB

english, 2014

37

[IEEE 2009 IEEE 50th Annual Symposium on Foundations of Computer Science (FOCS) - Atlanta, GA, USA (2009.10.25-2009.10.27)] 2009 50th Annual IEEE Symposium on Foundations of Computer Science - Polynomial Hierarchy, Betti Numbers and a Real Analogue of Toda's Theorem

Basu, Saugata, Zell, Thierry

Year:

2009

Language:

english

File:

PDF, 298 KB

english, 2009

38

Bounding the Betti numbers and computing the Euler–Poincaré characteristic of semi-algebraic sets deﬁned by partly quadratic systems of polynomials

Basu, Saugata, Pasechnik, Dmitrii, Roy, Marie-Françoise

Journal:

Journal of the European Mathematical Society

Year:

2010

Language:

english

File:

PDF, 336 KB

english, 2010

39

Semi-monotone sets

Basu, Saugata, Gabrielov, Andrei, Vorobjov, Nicolai

Journal:

Journal of the European Mathematical Society

Year:

2013

Language:

english

File:

PDF, 194 KB

english, 2013

40

On homotopy types of limits of semi-algebraic sets and additive complexity of polynomials

Barone, Sal, Basu, Saugata

Journal:

Journal of the European Mathematical Society

Year:

2014

Language:

english

File:

PDF, 823 KB

english, 2014

41

A Complexity Theory of Constructible Functions and Sheaves

Journal:

Foundations of Computational Mathematics

Year:

2015

Language:

english

File:

PDF, 942 KB

english, 2015

42

[Algorithms and Combinatorics] Discrete and Computational Geometry Volume 25 || Colorings and Homomorphisms of Minor Closed Classes

Aronov, Boris, Basu, Saugata, Pach, János, Sharir, Micha

Year:

2003

Language:

english

File:

PDF, 389 KB

english, 2003

43

[Algorithms and Combinatorics] Discrete and Computational Geometry Volume 25 || On the Reflexivity of Point Sets

Aronov, Boris, Basu, Saugata, Pach, János, Sharir, Micha

Year:

2003

Language:

english

File:

PDF, 454 KB

english, 2003

44

Description of a new species, Myxobilatus anteronippus sp. n., and synopsis of Indian species of the genus Myxobilatus Davis, 1944 (Myxozoa: Myxosporea: Bivalvulida)

Basu, Saugata, Modak, Biplob Kumar, Haldar, Durga P.

Journal:

Year:

2012

Language:

english

File:

PDF, 371 KB

english, 2012

45

[Algorithms and Combinatorics] Discrete and Computational Geometry Volume 25 || Are Your Polyhedra the Same as My Polyhedra?

Aronov, Boris, Basu, Saugata, Pach, János, Sharir, Micha

Year:

2003

Language:

english

File:

PDF, 467 KB

english, 2003

46

[ACM Press the thirty-ninth annual ACM symposium - San Diego, California, USA (2007.06.11-2007.06.13)] Proceedings of the thirty-ninth annual ACM symposium on Theory of computing - STOC '07 - Combinatorial complexity in O-minimal geometry

Year:

2007

Language:

english

File:

PDF, 204 KB

english, 2007

47

[ACM Press the 1997 international symposium - Kihei, Maui, Hawaii, United States (1997.07.21-1997.07.23)] Proceedings of the 1997 international symposium on Symbolic and algebraic computation - ISSAC '97 - Uniform quantifier elimination and constraint query processing

Year:

1997

Language:

english

File:

PDF, 884 KB

english, 1997

48

New results on quantifier elimination over real closed fields and applications to constraint databases

Journal:

Journal of the ACM

Year:

1999

Language:

english

File:

PDF, 160 KB

english, 1999

49

[ACM Press the twenty-eighth annual ACM symposium - Philadelphia, Pennsylvania, United States (1996.05.22-1996.05.24)] Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 - On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets

Year:

1996

Language:

english

File:

PDF, 1.03 MB

english, 1996

50

[ACM Press the thiry-fourth annual ACM symposium - Montreal, Quebec, Canada (2002.05.19-2002.05.21)] Proceedings of the thiry-fourth annual ACM symposium on Theory of computing - STOC '02 - Computing the betti numbers of arrangements

Year:

2002

Language:

english

File:

PDF, 193 KB

english, 2002