Jacob E. Goodman

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All published works

Action	Title	Year	Authors
+ PDF Chat	Geometric Control of Two Quadrotors Carrying a Rigid Rod with Elastic Cables	2022	Jacob E. Goodman Leonardo Colombo
+	Variational Obstacle Avoidance with Applications to Interpolation Problems in Hybrid Systems	2021	Jacob E. Goodman Leonardo Colombo
+	On the Existence and Uniqueness of Poincaré Maps for Systems with Impulse Effects	2018	Jacob E. Goodman Leonardo Colombo
+	Transversal and Helly-type Theorems in Geometry, Combinatorics and Topology	2009	Imre Bárány Ted Bisztriczky Jacob E. Goodman Luis Montejano Déborah Oliveros
+	The combinatorial encoding of disjoint convex sets in the plane	2008	Jacob E. Goodman Richard Pollack
+ PDF Chat	Convexity in Topological Affine Planes	2007	Raghavan Dhandapani Jacob E. Goodman Andreas F. Holmsen Richard Pollack Shakhar Smorodinsky
+ PDF Chat	Cremona convexity, frame convexity and a theorem of Santaló	2006	Jacob E. Goodman Andreas F. Holmsen Richard Pollack Kristian Ranestad Frank Sottile
+	CREMONA CONVEXITY, FRAME CONVEXITY,	2005	Jacob E. Goodman Andreas F. Holmsen Richard Pollack Kristian Ranestad Frank Sottile
+	Cremona Convexity, Frame Convexity, and a Theorem of Santal\'o	2004	Jacob E. Goodman Andreas F. Holmsen Ricky Pollack Kristian Ranestad Frank Sottile
+	Handbook of Discrete and Computational Geometry, Second Edition	2004	Jacob E. Goodman Joseph O’Rourke
+	Pseudoline Arrangements	2004	Jacob E. Goodman
+	Cremona Convexity, Frame Convexity, and a Theorem of Santaló	2004	Jacob E. Goodman Andreas F. Holmsen Ricky Pollack Kristian Ranestad Frank Sottile
+	A Helly-type theorem for higher-dimensional transversals	2002	Boris Aronov Jacob E. Goodman Richard Pollack
+ PDF Chat	A Helly-Type Theorem for Hyperplane Transversals to Well-Separated Convex Sets	2001	Boris Aronov Jacob E. Goodman Ricky Pollack Rephael Wenger
+ PDF Chat	On the Helly Number for Hyperplane Transversals to Unit Balls	2000	Boris Aronov Jacob E. Goodman Ricky Pollack Rephael Wenger
+	A Helly-type theorem for hyperplane transversals to well-separated convex sets	2000	Boris Aronov Jacob E. Goodman Richard Pollack Rephael Wenger
+	Bounding the Number of Geometric Permutations Induced byk-Transversals	1996	Jacob E. Goodman Richard Pollack Rephael Wenger
+ PDF Chat	Foundations of a theory of convexity on affine Grassmann manifolds	1995	Jacob E. Goodman Richard Pollack
+ PDF Chat	On the connected components of the space of line transversals to a family of convex sets	1995	Jacob E. Goodman Richard Pollack Rephael Wenger
+	Arrangements and Topological Planes	1994	Jacob E. Goodman Richard Pollack Rephael Wenger Tudor Zamfirescu
+	Arrangements and Topological Planes	1994	Jacob E. Goodman Richard Pollack Rephael Wenger Tudor Zamfirescu
+	Bounding the number of geometric permutations induced by <i>k</i>-transversals	1994	Jacob E. Goodman Richard Pollack Rephael Wenger
+	None	1994	Jacob E. Goodman Richard Pollack
+	Allowable Sequences and Order Types in Discrete and Computational Geometry	1993	Jacob E. Goodman Richard Pollack
+	Geometric Transversal Theory	1993	Jacob E. Goodman Richard Pollack Rephael Wenger
+	Discrete and Computational Geometry: Papers from the DIMACS Special Year	1991	Jacob E. Goodman Richard Pollack William Steiger
+	The Intrinsic Spread of a Configuration in R d	1990	Jacob E. Goodman Richard Pollack Bernd Sturmfels
+ PDF Chat	The intrinsic spread of a configuration in ${\bf R}\sp d$	1990	Jacob E. Goodman Richard Pollack Bernd Sturmfels
+	On the combinatorial complexity of the space of hyperplane transversals	1990	János Pach Sylvain E. Cappell Jacob E. Goodman Richard Pollack Micha Sharir Rephael Wenger
+	Mountain Climbing, Ladder Moving, and the Ring-Width of a Polygon	1989	Jacob E. Goodman János Pach Chee Yap
+	Mountain Climbing, Ladder Moving, and the Ring-Width of a Polygon	1989	Jacob E. Goodman János Pach Chee Yap
+	New Bounds on Higher Dimensional Configurations and Polytopes	1989	Jacob E. Goodman Richard Pollack
+	Coordinate representation of order types requires exponential storage	1989	Jacob E. Goodman Richard Pollack Bernd Sturmfels
+ PDF Chat	Cell decomposition of polytopes by bending	1988	Jacob E. Goodman János Pach
+	Hadwiger's Transversal Theorem In Higher Dimensions	1988	Jacob E. Goodman Richard Pollack
+ PDF Chat	Hadwiger’s transversal theorem in higher dimensions	1988	Jacob E. Goodman Richard Pollack
+ PDF Chat	Upper bounds for configurations and polytopes inR d	1986	Jacob E. Goodman Richard Pollack
+ PDF Chat	There are asymptotically far fewer polytopes than we thought	1986	Jacob E. Goodman Richard Pollack
+	Polynomial realization of pseudoline arrangements	1985	Jacob E. Goodman Richard Pollack
+	GEOMETRIC SORTING THEORY	1985	Jacob E. Goodman Richard Pollack
+	A COMBINATORIAL VERSION OF THE ISOTOPY CONJECTURE	1985	Jacob E. Goodman Richard Pollack
+	Modeling planar configurations	1985	Jacob E. Goodman Richard Pollack
+	Semispaces of configurations, cell complexes of arrangements	1984	Jacob E. Goodman Richard Pollack
+	On the number of k-subsets of a set of n points in the plane	1984	Jacob E. Goodman Richard Pollack
+	Multidimensional Sorting	1983	Jacob E. Goodman Richard Pollack
+	Helly-type theorems for pseudoline arrangements in P2	1982	Jacob E. Goodman Richard Pollack
+	Three points do not determine a (pseudo-) plane	1981	Jacob E. Goodman Richard Pollack
+	On the largest convex polygon contained in a non-convex n-gon, or how to peel a potato	1981	Jacob E. Goodman
+	Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines	1980	Jacob E. Goodman Richard Pollack
+	Proof of a conjecture of Burr, Grünbaum, and Sloane	1980	Jacob E. Goodman
+	Varieties proper over affine schemes	1973	Jacob E. Goodman Alan Landman
+	Affine Open Subsets of Algebraic Varieties and Ample Divisors	1969	Jacob E. Goodman
+	Schemes with Finite-Dimensional Cohomology Groups	1969	Jacob E. Goodman Robin Hartshorne

Common Coauthors

Coauthor	Papers Together
Richard Pollack	33
Rephael Wenger	10
Andreas F. Holmsen	5
Ricky Pollack	4
Boris Aronov	4
János Pach	4
Kristian Ranestad	4
Frank Sottile	4
Bernd Sturmfels	3
Leonardo Colombo	2
Richard Pollack	2
Tudor Zamfirescu	2
Chee Yap	2
Alan Landman	1
Joseph O’Rourke	1
William Steiger	1
Micha Sharir	1
Robin Hartshorne	1
Sylvain E. Cappell	1
Luis Montejano	1
Shakhar Smorodinsky	1
Déborah Oliveros	1
Ted Bisztriczky	1
Leonardo Colombo	1
Raghavan Dhandapani	1
Imre Bárány	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Arrangements and Spreads	1972	Benjamin W. Grunbaum	14
+	Geometric Transversal Theory	1993	Jacob E. Goodman Richard Pollack Rephael Wenger	13
+ PDF Chat	Upper bounds for configurations and polytopes inR d	1986	Jacob E. Goodman Richard Pollack	9
+	Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines	1980	Jacob E. Goodman Richard Pollack	9
+	Multidimensional Sorting	1983	Jacob E. Goodman Richard Pollack	9
+	Helly-Type Theorems and Geometric Transversals	2004	Rephael Wenger	8
+	Semispaces of configurations, cell complexes of arrangements	1984	Jacob E. Goodman Richard Pollack	8
+ PDF Chat	Hadwiger’s transversal theorem in higher dimensions	1988	Jacob E. Goodman Richard Pollack	7
+	Combinatorial Geometry in the Plane.	1965	G. P. Johnson H. Hadwiger Hans Debrunner Victor Klee	7
+	Teilungen der Ebene durch Geraden oder topologische Geraden	1956	Gerhard Ringel	6
+ PDF Chat	On the Betti numbers of real varieties	1964	John Milnor	6
+ PDF Chat	On the Number of Reduced Decompositions of Elements of Coxeter Groups	1984	Richard P. Stanley	6
+	A theorem of ordered duality	1982	JacobE. Goodman Richard Pollack	5
+	Proof of a conjecture of Burr, Grünbaum, and Sloane	1980	Jacob E. Goodman	5
+	Helly-type theorems for pseudoline arrangements in P2	1982	Jacob E. Goodman Richard Pollack	5
+ PDF Chat	Proof of grünbaum's conjecture on common transversals for translates	1989	Helge Tverberg	4
+	Helly’s theorem and its relatives	1963	Ludwig Danzer Branko Grünbaum Victor Klee	4
+	Un Teorema sobre conjuntos de paralelepípedos de aristas paralelas	2009	Lluís Santaló	4
+ PDF Chat	The maximum number of ways to stabn convex nonintersecting sets in the plane is 2n−2	1990	Herbert Edelsbrunner Micha Sharir	4
+	Über ein Problem aus der kombinatorischen Geometrie	1957	Ludwig Danzer	4
+	On the number of k-subsets of a set of n points in the plane	1984	Jacob E. Goodman Richard Pollack	3
+ PDF Chat	On the Helly Number for Hyperplane Transversals to Unit Balls	2000	Boris Aronov Jacob E. Goodman Ricky Pollack Rephael Wenger	3
+	Coordinate representation of order types requires exponential storage	1989	Jacob E. Goodman Richard Pollack Bernd Sturmfels	3
+	Two counterexamples concerning transversals for convex subsets of the plane	1980	Ted G. Lewis	3
+	The tropical Grassmannian	2004	David E Speyer Bernd Sturmfels	3
+ PDF Chat	Upper bounds on geometric permutations for convex sets	1990	Rephael Wenger	3
+	Hadwiger's Transversal Theorem In Higher Dimensions	1988	Jacob E. Goodman Richard Pollack	3
+ PDF Chat	The different ways of stabbing disjoint convex sets	1992	Meir Katchalski T. Lewis A. Liu	3
+	Algorithms in Combinatorial Geometry	1987	Herbert Edelsbrunner	3
+	Geometric permutations for convex sets	1985	Meir Katchalski T. Lewis Joseph Zaks	3
+	Neighborly polytopes	1982	Ido Shemer	3
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	3
+ PDF Chat	A conjecture of Grünbaum on common transversals.	1986	Meir Katchalski	3
+	Computational Synthetic Geometry	1989	Bernd Sturmfels	3
+	Combinatorial Correspondences for Young Tableaux, Balanced Tableaux and Maxima l Chains in the Weak Bruhat Order of Sn	1985	Curtis Greene Paul H. Edelman	3
+ PDF Chat	On the Number of Vertices of a Convex Polytope	1964	Victor Klee	3
+ PDF Chat	Foundations of a theory of convexity on affine Grassmann manifolds	1995	Jacob E. Goodman Richard Pollack	3
+	Order properties of lines in the plane and a conjecture of G. Ringel	1986	Michel Las Vergnas	3
+	Geometric Topology in Dimensions 2 and 3	1977	Edwin E. Moïse	3
+ PDF Chat	Uniform oriented matroids without the isotopy property	1989	Beat Jäggi Peter Mani-Levitska Bernd Sturmfels Neil White	3
+	Über Mengen konvexer Körper mit gemeinschaftlichen Punkte.	1923	Ed. Helly	3
+ PDF Chat	Chow quotients of Grassmannians. I	1993	Mikhail Kapranov	3
+	Sur les Matroïdes Orientés de Rang 3 et les Arrangements de Pseudodroites dans le Plan Projectif Réel	1982	Raul Cordovil	3
+	The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface	1962	Oscar Zariski	2
+	A Lower Bound for Heilbronn'S Problem	1982	János Komlós J. Pintz Endre Szemerédi	2
+	Some Applications of Affine Gale Diagrams to Polytopes with Few Vertices	1988	Bernd Sturmfels	2
+	Helly, Radon, and Carathéodory Type Theorems	1993	Jürgen Eckhoff	2
+ PDF Chat	Common secants for plane convex sets	1954	Victor Klee	2
+ PDF Chat	On the existence of a curve connecting given points on an abstract variety	1954	Hajime Nishimura Yoshikazu Nakai	2
+	Lower bounds for approximation by nonlinear manifolds	1968	Hugh E. Warren	2