zbMATH — the first resource for mathematics

Pollack, Richard M.

Compute Distance To:
 Author ID: pollack.richard Published as: Pollack, R.; Pollack, Richard; Pollack, Richard M.; Pollack, Ricky Homepage: http://math.nyu.edu/faculty/pollack/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 87 Publications since 1970, including 7 Books Biographic References: 2 Publications
all top 5

Co-Authors

 3 single-authored 45 Goodman, Jacob Eli 20 Basu, Saugata 19 Roy, Marie-Françoise 11 Pach, János 11 Wenger, Rephael 9 Sharir, Micha 5 Aronov, Boris 5 Seidel, Raimund 4 Edelsbrunner, Herbert 4 Guibas, Leonidas John 3 Dhandapani, Raghavan 3 Holmsen, Andreas F. 2 Agarwal, Pankaj Kumar 2 Chazelle, Bernard 2 Shapiro, Harold N. 2 Snoeyink, Jack Scott 2 Zamfirescu, Tudor I. 1 Arkin, Joseph 1 Bárány, Imre 1 Cappell, Sylvain E. 1 de Fraysseix, Hubert 1 Erdős, Pál 1 Goodmann, Jacob E. 1 Halperin, Dan 1 Hershberger, John E. 1 Lenhart, William J. 1 Lutwak, Erwin 1 Malkevitch, Joseph 1 Moser, William Oscar Jules 1 Rote, Günter 1 Sack, Jörg-Rüdiger 1 Sifrony, Shmuel 1 Smorodinsky, Shakhar 1 Sparer, Gerson H. 1 Spencer, Joel H. 1 Steiger, William L. 1 Sturmfels, Bernd 1 Suri, Subhash 1 Toussaint, Godfried T. 1 Tuza, Zsolt 1 Welzl, Emo 1 Whitesides, Sue H. 1 Yap, Chee-Keng
all top 5

Serials

 10 Discrete & Computational Geometry 8 Journal of Combinatorial Theory. Series A 6 Combinatorica 3 Communications on Pure and Applied Mathematics 3 Journal of the American Mathematical Society 2 Geometriae Dedicata 2 Mathematika 2 Computational Geometry 2 Contemporary Mathematics 2 Algorithms and Computation in Mathematics 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Advances in Mathematics 1 Canadian Mathematical Bulletin 1 The Fibonacci Quarterly 1 Journal of Combinatorial Theory. Series B 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Journal of Complexity 1 Algorithmica 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Computational Complexity 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of the ACM 1 Foundations of Computational Mathematics 1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science
all top 5

Fields

 39 Convex and discrete geometry (52-XX) 34 Computer science (68-XX) 29 Geometry (51-XX) 22 Combinatorics (05-XX) 18 Algebraic geometry (14-XX) 6 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 3 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)

Citations contained in zbMATH

70 Publications have been cited 1,370 times in 1,102 Documents Cited by Year
Algorithms in real algebraic geometry. 2nd ed. Zbl 1102.14041
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2006
Algorithms in real algebraic geometry. Zbl 1031.14028
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2003
How to draw a planar graph on a grid. Zbl 0728.05016
de Fraysseix, H.; Pach, J.; Pollack, R.
1990
On the combinatorial and algebraic complexity of quantifier elimination. Zbl 0885.68070
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1996
Multidimensional sorting. Zbl 0525.68038
Goodman, Jacob E.; Pollack, Richard
1983
On the combinatorial classification of nondegenerate configurations in the plane. Zbl 0448.05016
Goodman, Jacob E.; Pollack, Richard
1980
Quasi-planar graphs have a linear number of edges. Zbl 0880.05050
Agarwal, Pankaj K.; Aronov, Boris; Pach, János; Pollack, Richard; Sharir, Micha
1997
Radius, diameter, and minimum degree. Zbl 0686.05029
Erdős, Paul; Pach, János; Pollack, Richard; Tuza, Zsolt
1989
Upper bounds for configurations and polytopes in $${\mathbb{R}}^ d$$. Zbl 0609.52004
Goodman, Jacob E.; Pollack, Richard
1986
Semispaces of configurations, cell complexes of arrangements. Zbl 0551.05002
Goodman, Jacob E.; Pollack, Richard
1984
Arrangements of curves in the plane — topology, combinatorics, and algorithms. Zbl 0747.68094
Edelsbrunner, Herbert; Guibas, Leonidas; Pach, János; Pollack, Richard; Seidel, Raimund; Sharir, Micha
1992
Geometric transversal theory. Zbl 0792.52001
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael
1993
Allowable sequences and order types in discrete and computational geometry. Zbl 0809.52026
Goodman, Jacob E.; Pollack, Richard
1993
Separating two simple polygons by a sequence of translations. Zbl 0646.68052
Pollack, R.; Sharir, M.; Sifrony, S.
1988
Computing the geodesic center of a simple polygon. Zbl 0689.68067
Pollack, R.; Sharir, M.; Rote, G.
1989
Proof of Grünbaum’s conjecture on the stretchability of certain arrangements of pseudolines. Zbl 0457.51006
Goodman, Jacob E.; Pollack, Richard
1980
Counting and cutting cycles of lines and rods in space. Zbl 0748.68082
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Pollack, Richard; Seidel, Raimund; Sharir, Micha; Snoeyink, Jack
1992
Computing the link center of a simple polygon. Zbl 0646.68056
Lenhart, W.; Pollack, R.; Sack, J.; Seidel, R.; Sharir, M.; Suri, S.; Toussaint, G.; Whitesides, S.; Yap, C.
1988
Computing roadmaps of semi-algebraic sets on a variety. Zbl 0933.14037
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2000
Hadwiger’s transversal theorem in higher dimensions. Zbl 0642.52003
Goodman, Jacob E.; Pollack, Richard
1988
On the number of cells defined by a family of polynomials on a variety. Zbl 0853.14028
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1996
A combinatorial perspective on some problems in geometry. Zbl 0495.05012
Goodman, Jacob E.; Pollack, Richard
1981
A theorem of ordered duality. Zbl 0494.51002
Goodman, Jacob E.; Pollack, Richard
1982
A new algorithm to find a point in every cell defined by a family of polynomials. Zbl 0900.68278
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1998
Weaving patterns of lines and line segments in space. Zbl 0788.68146
Pach, Jànos; Pollack, Richard; Welzl, Emo
1993
Arrangements of curves in the plane - topology, combinatorics, and algorithms. Zbl 0649.68040
Edelsbrunner, Herbert; Guibas, Leonidas; Pach, Janos; Pollack, Richard; Seidel, Raimund; Sharir, Micha
1988
On the number of k-subsets of a set of n points in the plane. Zbl 0523.51003
Goodman, Jacob E.; Pollack, Richard
1984
On computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0872.68050
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1997
Computing roadmaps of semi-algebraic sets. (Extended abstract). Zbl 0917.14028
Basu, S.; Pollack, R.; Roy, M.-F.
1996
Arrangements and topological planes. Zbl 0827.51003
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael; Zamfirescu, Tudor
1994
On the number of cells defined by a set of polynomials. Zbl 0787.14039
Pollack, Richard; Roy, Marie-Françoise
1993
On the Betti numbers of sign conditions. Zbl 1080.14068
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2005
The intrinsic spread of a configuration in $$R^ d$$. Zbl 0712.05021
Goodman, Jacob E.; Pollack, Richard; Sturmfels, Bernd
1990
There are asymptotically far fewer polytopes than we thought. Zbl 0585.52003
Goodman, Jacob E.; Pollack, Richard
1986
The combinatorial encoding of disjoint convex sets in the plane. Zbl 1174.52001
Goodman, Jacob E.; Pollack, Richard
2008
Common tangents and common transversals. Zbl 0824.52019
Cappell, Sylvain E.; Goodman, Jacob E.; Pach, János; Pollack, Richard; Sharir, Micha; Wenger, Rephael
1994
On arrangements of Jordan arcs with three intersections per pair. Zbl 0687.05004
Edelsbrunner, Herbert; Guibas, Leonidas; Hershberger, John; Pack, Janos; Pollack, Richard; Seidel, Raimund; Sharir, Micha; Snoeyink, Jack
1989
Computing the first Betti number of a semi-algebraic set. Zbl 1142.14036
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2008
Bounding the number of geometric permutations induced by $$k$$-transversals. Zbl 0858.68117
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael
1996
The complexity of point configurations. Zbl 0749.68041
Goodman, Jacob E.; Pollack, Richard
1991
Helly-type theorems for pseudoline arrangments in $$P^ 2$$. Zbl 0488.52007
Goodman, Jacob E.; Pollack, Richard
1982
Convexity in topological affine planes. Zbl 1132.52002
Dhandapani, Raghavan; Goodman, Jacob E.; Holmsen, Andreas; Pollack, Richard; Smorodinsky, Shakhar
2007
Interval sequences and the combinatorial encoding of planar families of convex sets. Zbl 1108.52007
Dhandapani, Raghavan; Goodman, Jacob E.; Holmsen, Andreas; Pollack, Richard
2005
Necessary and sufficient conditions for hyperplane transversals. Zbl 0722.52005
Pollack, R.; Wenger, R.
1990
Computing the first Betti number and the connected components of semi-algebraic sets. Zbl 1192.14003
Basu, Saugata; Pollack, Richard; Roy, Marie-Francoise
2005
Betti number bounds, applications and algorithms. Zbl 1097.68152
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2005
Foundations of a theory of convexity on affine Grassmann manifolds. Zbl 0835.52002
Goodman, Jacob E.; Pollack, Richard
1995
Three points do not determine a (pseudo-) plane. Zbl 0479.51002
Goodman, Jacob E.; Pollack, Richard
1981
An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions. Zbl 1212.14005
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2009
Computing the dimension of a semi-algebraic set. Zbl 1075.14053
Basu, S.; Pollack, R.; Roy, M.-F.
2004
On the Helly number for hyperplane transversals to unit balls. Zbl 0960.52006
Aronov, B.; Goodman, J. E.; Pollack, R.; Wenger, R.
2000
Complexity of computing semi-algebraic descriptions of the connected components of a semialgebraic set. Zbl 0960.14033
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1998
Do projections go to infinity? Zbl 0739.51020
Bárány, Imre; Goodman, Jacob E.; Pollack, Richard
1991
Graph distance and Euclidean distance on the grid. Zbl 0697.05039
Pach, J.; Pollack, R.; Spencer, J.
1990
Increasing the minimum distance of a set of points. Zbl 0587.05001
Pollack, R.
1985
Surveys on discrete and computational geometry. Twenty years later. AMS-IMS-SIAM summer research conference, Snowbird, UT, USA, June 18–22, 2006. Zbl 1134.52001
Goodman, Jacob E. (ed.); Pach, János (ed.); Pollack, Richard (ed.)
2008
Computing the Euler-Poincaré characteristics of sign conditions. Zbl 1077.14086
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2005
Advances in discrete and computational geometry. Proceedings of the 1996 AMS-IMS-SIAM joint summer research conference on discrete and computational geometry: ten years later, South Hadley, MA, USA, July 14–18, 1996. Zbl 0902.00037
Chazelle, Bernard (ed.); Goodman, Jacob E. (ed.); Pollack, Richard (ed.)
1999
Computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0829.14025
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1995
A combinatorial version of the isotopy conjecture. Zbl 0578.52002
Goodman, Jacob E.; Pollack, Richard
1985
Convexity theorems for generalized planar configurations. Zbl 0483.52009
Goodman, Jacob E.; Pollack, Richard
1982
The next to last case of a factorial Diophantine equation. Zbl 0276.10011
Pollack, Richard M.; Shapiro, Harold N.
1973
The Hadwiger transversal theorem for pseudolines. Zbl 1112.52001
Basu, Saugata; Goodmann, Jacob E.; Holmsen, Andreas; Pollack, Richard
2005
A Helly-type theorem for higher-dimensional transversals. Zbl 1009.52013
Aronov, Boris; Goodman, Jacob E.; Pollack, Richard
2002
A Helly-type theorem for hyperplane transversals to well-separated convex sets. Zbl 0996.52005
Aronov, B.; Goodman, J. E.; Pollack, R.; Wenger, R.
2001
On the connected components of the space of line transversals to a family of convex sets. Zbl 0824.52004
Goodman, J. E.; Pollack, R.; Wenger, R.
1995
Every arrangement extends to a spread. Zbl 0831.51010
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael; Zamfirescu, Tudor
1994
New bounds on higher dimensional configurations and polytopes. Zbl 0717.68042
Goodman, Jacob E.; Pollack, Richard
1989
Polynomial realization of pseudoline arrangements. Zbl 0609.51021
Goodman, Jacob E.; Pollack, Richard
1985
A new identity and some applications. Zbl 0446.05006
Moser, W. O. J.; Pollack, Richard
1980
An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions. Zbl 1212.14005
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2009
The combinatorial encoding of disjoint convex sets in the plane. Zbl 1174.52001
Goodman, Jacob E.; Pollack, Richard
2008
Computing the first Betti number of a semi-algebraic set. Zbl 1142.14036
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2008
Surveys on discrete and computational geometry. Twenty years later. AMS-IMS-SIAM summer research conference, Snowbird, UT, USA, June 18–22, 2006. Zbl 1134.52001
Goodman, Jacob E. (ed.); Pach, János (ed.); Pollack, Richard (ed.)
2008
Convexity in topological affine planes. Zbl 1132.52002
Dhandapani, Raghavan; Goodman, Jacob E.; Holmsen, Andreas; Pollack, Richard; Smorodinsky, Shakhar
2007
Algorithms in real algebraic geometry. 2nd ed. Zbl 1102.14041
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2006
On the Betti numbers of sign conditions. Zbl 1080.14068
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2005
Interval sequences and the combinatorial encoding of planar families of convex sets. Zbl 1108.52007
Dhandapani, Raghavan; Goodman, Jacob E.; Holmsen, Andreas; Pollack, Richard
2005
Computing the first Betti number and the connected components of semi-algebraic sets. Zbl 1192.14003
Basu, Saugata; Pollack, Richard; Roy, Marie-Francoise
2005
Betti number bounds, applications and algorithms. Zbl 1097.68152
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2005
Computing the Euler-Poincaré characteristics of sign conditions. Zbl 1077.14086
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2005
The Hadwiger transversal theorem for pseudolines. Zbl 1112.52001
Basu, Saugata; Goodmann, Jacob E.; Holmsen, Andreas; Pollack, Richard
2005
Computing the dimension of a semi-algebraic set. Zbl 1075.14053
Basu, S.; Pollack, R.; Roy, M.-F.
2004
Algorithms in real algebraic geometry. Zbl 1031.14028
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2003
A Helly-type theorem for higher-dimensional transversals. Zbl 1009.52013
Aronov, Boris; Goodman, Jacob E.; Pollack, Richard
2002
A Helly-type theorem for hyperplane transversals to well-separated convex sets. Zbl 0996.52005
Aronov, B.; Goodman, J. E.; Pollack, R.; Wenger, R.
2001
Computing roadmaps of semi-algebraic sets on a variety. Zbl 0933.14037
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
2000
On the Helly number for hyperplane transversals to unit balls. Zbl 0960.52006
Aronov, B.; Goodman, J. E.; Pollack, R.; Wenger, R.
2000
Advances in discrete and computational geometry. Proceedings of the 1996 AMS-IMS-SIAM joint summer research conference on discrete and computational geometry: ten years later, South Hadley, MA, USA, July 14–18, 1996. Zbl 0902.00037
Chazelle, Bernard (ed.); Goodman, Jacob E. (ed.); Pollack, Richard (ed.)
1999
A new algorithm to find a point in every cell defined by a family of polynomials. Zbl 0900.68278
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1998
Complexity of computing semi-algebraic descriptions of the connected components of a semialgebraic set. Zbl 0960.14033
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1998
Quasi-planar graphs have a linear number of edges. Zbl 0880.05050
Agarwal, Pankaj K.; Aronov, Boris; Pach, János; Pollack, Richard; Sharir, Micha
1997
On computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0872.68050
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1997
On the combinatorial and algebraic complexity of quantifier elimination. Zbl 0885.68070
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1996
On the number of cells defined by a family of polynomials on a variety. Zbl 0853.14028
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1996
Computing roadmaps of semi-algebraic sets. (Extended abstract). Zbl 0917.14028
Basu, S.; Pollack, R.; Roy, M.-F.
1996
Bounding the number of geometric permutations induced by $$k$$-transversals. Zbl 0858.68117
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael
1996
Foundations of a theory of convexity on affine Grassmann manifolds. Zbl 0835.52002
Goodman, Jacob E.; Pollack, Richard
1995
Computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0829.14025
Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise
1995
On the connected components of the space of line transversals to a family of convex sets. Zbl 0824.52004
Goodman, J. E.; Pollack, R.; Wenger, R.
1995
Arrangements and topological planes. Zbl 0827.51003
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael; Zamfirescu, Tudor
1994
Common tangents and common transversals. Zbl 0824.52019
Cappell, Sylvain E.; Goodman, Jacob E.; Pach, János; Pollack, Richard; Sharir, Micha; Wenger, Rephael
1994
Every arrangement extends to a spread. Zbl 0831.51010
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael; Zamfirescu, Tudor
1994
Geometric transversal theory. Zbl 0792.52001
Goodman, Jacob E.; Pollack, Richard; Wenger, Rephael
1993
Allowable sequences and order types in discrete and computational geometry. Zbl 0809.52026
Goodman, Jacob E.; Pollack, Richard
1993
Weaving patterns of lines and line segments in space. Zbl 0788.68146
Pach, Jànos; Pollack, Richard; Welzl, Emo
1993
On the number of cells defined by a set of polynomials. Zbl 0787.14039
Pollack, Richard; Roy, Marie-Françoise
1993
Arrangements of curves in the plane — topology, combinatorics, and algorithms. Zbl 0747.68094
Edelsbrunner, Herbert; Guibas, Leonidas; Pach, János; Pollack, Richard; Seidel, Raimund; Sharir, Micha
1992
Counting and cutting cycles of lines and rods in space. Zbl 0748.68082
Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Pollack, Richard; Seidel, Raimund; Sharir, Micha; Snoeyink, Jack
1992
The complexity of point configurations. Zbl 0749.68041
Goodman, Jacob E.; Pollack, Richard
1991
Do projections go to infinity? Zbl 0739.51020
Bárány, Imre; Goodman, Jacob E.; Pollack, Richard
1991
How to draw a planar graph on a grid. Zbl 0728.05016
de Fraysseix, H.; Pach, J.; Pollack, R.
1990
The intrinsic spread of a configuration in $$R^ d$$. Zbl 0712.05021
Goodman, Jacob E.; Pollack, Richard; Sturmfels, Bernd
1990
Necessary and sufficient conditions for hyperplane transversals. Zbl 0722.52005
Pollack, R.; Wenger, R.
1990
Graph distance and Euclidean distance on the grid. Zbl 0697.05039
Pach, J.; Pollack, R.; Spencer, J.
1990
Radius, diameter, and minimum degree. Zbl 0686.05029
Erdős, Paul; Pach, János; Pollack, Richard; Tuza, Zsolt
1989
Computing the geodesic center of a simple polygon. Zbl 0689.68067
Pollack, R.; Sharir, M.; Rote, G.
1989
On arrangements of Jordan arcs with three intersections per pair. Zbl 0687.05004
Edelsbrunner, Herbert; Guibas, Leonidas; Hershberger, John; Pack, Janos; Pollack, Richard; Seidel, Raimund; Sharir, Micha; Snoeyink, Jack
1989
New bounds on higher dimensional configurations and polytopes. Zbl 0717.68042
Goodman, Jacob E.; Pollack, Richard
1989
Separating two simple polygons by a sequence of translations. Zbl 0646.68052
Pollack, R.; Sharir, M.; Sifrony, S.
1988
Computing the link center of a simple polygon. Zbl 0646.68056
Lenhart, W.; Pollack, R.; Sack, J.; Seidel, R.; Sharir, M.; Suri, S.; Toussaint, G.; Whitesides, S.; Yap, C.
1988
Hadwiger’s transversal theorem in higher dimensions. Zbl 0642.52003
Goodman, Jacob E.; Pollack, Richard
1988
Arrangements of curves in the plane - topology, combinatorics, and algorithms. Zbl 0649.68040
Edelsbrunner, Herbert; Guibas, Leonidas; Pach, Janos; Pollack, Richard; Seidel, Raimund; Sharir, Micha
1988
Upper bounds for configurations and polytopes in $${\mathbb{R}}^ d$$. Zbl 0609.52004
Goodman, Jacob E.; Pollack, Richard
1986
There are asymptotically far fewer polytopes than we thought. Zbl 0585.52003
Goodman, Jacob E.; Pollack, Richard
1986
Increasing the minimum distance of a set of points. Zbl 0587.05001
Pollack, R.
1985
A combinatorial version of the isotopy conjecture. Zbl 0578.52002
Goodman, Jacob E.; Pollack, Richard
1985
Polynomial realization of pseudoline arrangements. Zbl 0609.51021
Goodman, Jacob E.; Pollack, Richard
1985
Semispaces of configurations, cell complexes of arrangements. Zbl 0551.05002
Goodman, Jacob E.; Pollack, Richard
1984
On the number of k-subsets of a set of n points in the plane. Zbl 0523.51003
Goodman, Jacob E.; Pollack, Richard
1984
Multidimensional sorting. Zbl 0525.68038
Goodman, Jacob E.; Pollack, Richard
1983
A theorem of ordered duality. Zbl 0494.51002
Goodman, Jacob E.; Pollack, Richard
1982
Helly-type theorems for pseudoline arrangments in $$P^ 2$$. Zbl 0488.52007
Goodman, Jacob E.; Pollack, Richard
1982
Convexity theorems for generalized planar configurations. Zbl 0483.52009
Goodman, Jacob E.; Pollack, Richard
1982
A combinatorial perspective on some problems in geometry. Zbl 0495.05012
Goodman, Jacob E.; Pollack, Richard
1981
Three points do not determine a (pseudo-) plane. Zbl 0479.51002
Goodman, Jacob E.; Pollack, Richard
1981
On the combinatorial classification of nondegenerate configurations in the plane. Zbl 0448.05016
Goodman, Jacob E.; Pollack, Richard
1980
Proof of Grünbaum’s conjecture on the stretchability of certain arrangements of pseudolines. Zbl 0457.51006
Goodman, Jacob E.; Pollack, Richard
1980
A new identity and some applications. Zbl 0446.05006
Moser, W. O. J.; Pollack, Richard
1980
The next to last case of a factorial Diophantine equation. Zbl 0276.10011
Pollack, Richard M.; Shapiro, Harold N.
1973
all top 5

Cited by 1,428 Authors

 49 Sharir, Micha 27 Basu, Saugata 26 Pach, János 25 Pollack, Richard M. 22 Liotta, Giuseppe 16 Didimo, Walter 16 Edelsbrunner, Herbert 16 Roy, Marie-Françoise 15 Aichholzer, Oswin 15 Goodman, Jacob Eli 15 Kaufmann, Michael 14 Aronov, Boris 14 Kobourov, Stephen G. 14 Welzl, Emo 12 Dankelmann, Peter 12 Safey El Din, Mohab 12 Suk, Andrew 11 Biedl, Therese C. 11 Di Giacomo, Emilio 11 Frati, Fabrizio 11 Guibas, Leonidas John 11 Heintz, Joos 10 Korman, Matias 10 Perrucci, Daniel 10 Sagraloff, Michael 10 Tóth, Csaba D. 9 Angelini, Patrizio 9 Balko, Martin 9 Di Battista, Giuseppe 9 Halperin, Dan 9 Mourrain, Bernard 9 Mukwembi, Simon 9 Pilz, Alexander 9 Rouillier, Fabrice 9 Sturmfels, Bernd 9 Zeng, Guangxing 8 Bank, Bernd 8 Bekos, Michael A. 8 Bokowski, Jürgen G. 8 Cheong, Otfried 8 Fox, Jacob 8 Giusti, Marc 8 Goaoc, Xavier 8 Hurtado, Ferran 8 Jeronimo, Gabriela 8 Langerman, Stefan 8 Matoušek, Jiří 8 Streinu, Ileana 8 Valtr, Pavel 7 Brandenburg, Franz-Josef 7 Felsner, Stefan 7 Gonzalez-Vega, Laureano 7 Holmsen, Andreas F. 7 Hong, Seok-Hee 7 Koiran, Pascal 7 Montecchiani, Fabrizio 7 Seidel, Raimund 7 Whitesides, Sue H. 6 Ábrego, Bernardo Manuel 6 Agarwal, Pankaj Kumar 6 Alcazar, Juan Gerardo 6 Bae, Sang Won 6 Bose, Prosenjit K. 6 Cucker, Felipe 6 Fabila-Monroy, Ruy 6 Fernández-Merchant, Silvia 6 Henrion, Didier 6 Kerber, Michael 6 Lasserre, Jean-Bernard 6 Lazard, Sylvain 6 Leanos, Jesus 6 Mateus, Paulo C. 6 Meijer, Henk G. 6 Mitchell, Joseph S. B. 6 Mondal, Debajyoti 6 Montejano Peimbert, Luis 6 Nishizeki, Takao 6 Okamoto, Yoshio 6 Pardo, Luis Miguel 6 Pinchasi, Rom 6 Richter-Gebert, Jürgen 6 Riener, Cordian 6 Rote, Günter 6 Sabia, Juan 6 Salazar, Gelasio 6 Vogtenhuber, Birgit 6 Wismath, Stephen K. 6 Xiao, ShuiJing 6 Zahl, Joshua 5 Ahn, Hee-Kap 5 Barba, Luis Felipe 5 Batkhin, Alexandr B. 5 Bereg, Sergey N. 5 Cheng, Jinsan 5 Davenport, James Harold 5 de Berg, Mark Theodoor 5 Díaz-Toca, Gema María 5 Dujmović, Vida 5 Emiris, Ioannis Z. 5 England, Matthew ...and 1,328 more Authors
all top 5

Cited in 195 Serials

 162 Discrete & Computational Geometry 92 Computational Geometry 62 Journal of Symbolic Computation 44 Theoretical Computer Science 37 Algorithmica 32 Journal of Combinatorial Theory. Series A 28 Discrete Applied Mathematics 26 Information Processing Letters 23 Discrete Mathematics 23 Journal of Complexity 20 European Journal of Combinatorics 19 International Journal of Computational Geometry & Applications 13 Computer Aided Geometric Design 13 Journal of Graph Algorithms and Applications 12 Foundations of Computational Mathematics 10 Transactions of the American Mathematical Society 10 Combinatorica 10 Linear Algebra and its Applications 9 Advances in Mathematics 9 Journal of Pure and Applied Algebra 8 Journal of Algebra 8 Journal of Computer and System Sciences 8 SIAM Journal on Computing 8 Mathematical Programming. Series A. Series B 8 Combinatorics, Probability and Computing 7 Applied Mathematics and Computation 7 Journal of Combinatorial Theory. Series B 7 Graphs and Combinatorics 7 Mathematics in Computer Science 6 Journal of Computational and Applied Mathematics 6 Journal of Automated Reasoning 5 Artificial Intelligence 5 Israel Journal of Mathematics 5 Acta Mathematica 5 Mathematika 5 Advances in Applied Mathematics 5 Information and Computation 5 SIAM Journal on Discrete Mathematics 5 Applicable Algebra in Engineering, Communication and Computing 5 SIAM Journal on Optimization 5 Journal of Systems Science and Complexity 5 Journal of Discrete Algorithms 4 Mathematische Zeitschrift 4 Order 4 Mathematical Logic Quarterly (MLQ) 4 Annals of Mathematics and Artificial Intelligence 4 Journal of the European Mathematical Society (JEMS) 3 Mathematics of Computation 3 Bulletin of Mathematical Biology 3 Annales de l’Institut Fourier 3 The Annals of Statistics 3 Information Sciences 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Programming and Computer Software 3 Annals of Pure and Applied Logic 3 Journal of the American Mathematical Society 3 International Journal of Foundations of Computer Science 3 Geometric and Functional Analysis. GAFA 3 Economic Theory 3 Selecta Mathematica. New Series 3 Science China. Mathematics 2 Computers & Mathematics with Applications 2 Beiträge zur Algebra und Geometrie 2 Archiv der Mathematik 2 Automatica 2 Computing 2 International Journal of Game Theory 2 Journal of Graph Theory 2 The Journal of Symbolic Logic 2 Topology and its Applications 2 Chinese Annals of Mathematics. Series B 2 Multidimensional Systems and Signal Processing 2 Journal of Intelligent & Robotic Systems 2 Differential Geometry and its Applications 2 European Journal of Operational Research 2 International Journal of Computer Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Archive for Mathematical Logic 2 Computational Complexity 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Theory of Computing Systems 2 Journal of Combinatorial Optimization 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 Advances in Geometry 2 SIAM Journal on Applied Dynamical Systems 2 Chebyshevskiĭ Sbornik 2 Discrete Mathematics, Algorithms and Applications 1 Acta Informatica 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 European Journal of Physics 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 95 more Serials
all top 5

Cited in 54 Fields

 465 Computer science (68-XX) 318 Combinatorics (05-XX) 238 Convex and discrete geometry (52-XX) 184 Algebraic geometry (14-XX) 118 Numerical analysis (65-XX) 66 Commutative algebra (13-XX) 65 Operations research, mathematical programming (90-XX) 54 Mathematical logic and foundations (03-XX) 52 Field theory and polynomials (12-XX) 52 Geometry (51-XX) 29 Number theory (11-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 21 Real functions (26-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Manifolds and cell complexes (57-XX) 15 Statistics (62-XX) 14 Quantum theory (81-XX) 13 Biology and other natural sciences (92-XX) 12 Group theory and generalizations (20-XX) 12 Functions of a complex variable (30-XX) 12 Differential geometry (53-XX) 11 Ordinary differential equations (34-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Algebraic topology (55-XX) 10 Systems theory; control (93-XX) 9 Operator theory (47-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Functional analysis (46-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 General topology (54-XX) 7 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Associative rings and algebras (16-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Information and communication theory, circuits (94-XX) 3 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 1 Fluid mechanics (76-XX)

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.