2024
Orientation Preserving Maps of the Square Grid II.
Discret. Comput. Geom., September, 2024
2023
SIAM J. Discret. Math., September, 2023
Erdős-Szekeres Theorem for k-Flats.
Discret. Comput. Geom., June, 2023
2021
How (Not) to Cut Your Cheese.
Am. Math. Mon., 2021
Orientation preserving maps of the n × n grid.
J. Comput. Geom., 2021
Orientation Preserving Maps of the Square Grid.
Proceedings of the 37th International Symposium on Computational Geometry, 2021
2020
Theorems of Carathéodory, Helly, and Tverberg Without Dimension.
Discret. Comput. Geom., 2020
An application of the universality theorem for Tverberg partitions to data depth and hitting convex sets.
Comput. Geom., 2020
2019
Theorems of Carathéodory, Helly, and Tverberg without dimension.
Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2019
2018
Discret. Comput. Geom., 2018
Pach's Selection Theorem Does Not Admit a Topological Extension.
Discret. Comput. Geom., 2018
Acknowledgement of priority - A fractional Helly theorem for boxes.
Comput. Geom., 2018
2017
Random points in halfspheres.
Random Struct. Algorithms, 2017
Helge Tverberg is eighty: A personal tribute.
Eur. J. Comb., 2017
2015
Erdős-Szekeres Theorem for Lines.
Discret. Comput. Geom., 2015
Topology of Geometric Joins.
Discret. Comput. Geom., 2015
A fractional Helly theorem for boxes.
Comput. Geom., 2015
2014
Homogeneous selections from hyperplanes.
J. Comb. Theory B, 2014
Colourful and Fractional (p, q)-theorems.
Discret. Comput. Geom., 2014
Longest convex lattice chains.
Comput. Geom., 2014
Curves in Rd intersecting every hyperplane at most d + 1 times.
Proceedings of the 30th Annual Symposium on Computational Geometry, 2014
Tensors, colours, octahedra.
Proceedings of the Geometry, Structure and Randomness in Combinatorics, 2014
2013
2013 unit vectors in the plane.
Discret. Math., 2013
Holding Circles and Fixing Frames.
Discret. Comput. Geom., 2013
A Question from a Famous Paper of Erdős.
Discret. Comput. Geom., 2013
Many Empty Triangles have a Common Edge.
Discret. Comput. Geom., 2013
Functions, Measures, and Equipartitioning Convex k-Fans.
Discret. Comput. Geom., 2013
On the variance of random polygons.
Comput. Geom., 2013
On a forgotten conjecture from a famous paper of Erdös.
Proceedings of the Symposium on Computational Geometry 2013, 2013
2012
Notes About the Carathéodory Number.
Discret. Comput. Geom., 2012
Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame.
Comput. Geom., 2012
2011
Discret. Comput. Geom., 2011
2009
Paths with No Small Angles.
SIAM J. Discret. Math., 2009
Random Struct. Algorithms, 2009
Discret. Comput. Geom., 2009
2008
Slicing Convex Sets and Measures by a Hyperplane.
Discret. Comput. Geom., 2008
2007
Quadratically Many Colorful Simplices.
SIAM J. Discret. Math., 2007
Nash equilibria in random games.
Random Struct. Algorithms, 2007
The chance that a convex body is lattice-point free: A relative of Buffon's needle problem.
Random Struct. Algorithms, 2007
Discret. Comput. Geom., 2007
Packing Cones and Their Negatives in Space.
Discret. Comput. Geom., 2007
2006
Berge's theorem, fractional Helly, and art galleries.
Discret. Math., 2006
Geometric Graphs and Arrangements: Some Chapters from Combinatorial Geometry, by Stefan Felsner, Vieweg Verlag, 2004.
Comb. Probab. Comput., 2006
2005
A note on the size of the largest ball inside a convex polytope.
Period. Math. Hung., 2005
The Randomized Integer Convex Hull.
Discret. Comput. Geom., 2005
Strictly convex drawings of planar graphs
CoRR, 2005
2004
Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry, by J Matousek, Springer, 2003, 196 pp.
Comb. Probab. Comput., 2004
The Minimum Area of Convex Lattice <i>n</i>-Gons.
Comb., 2004
2003
Total Curvature and Spiralling Shortest Paths.
Discret. Comput. Geom., 2003
2002
Covering lattice points by subspaces.
Period. Math. Hung., 2002
Equipartition of Two Measures by a 4-Fan.
Discret. Comput. Geom., 2002
2001
On the lattice diameter of a convex polygon.
Discret. Math., 2001
Simultaneous Partitions of Measures by <i>k</i>-Fans.
Discret. Comput. Geom., 2001
2000
On the Number of Lattice Free Polytopes.
Eur. J. Comb., 2000
A Central Limit Theorem for Convex Chains in the Square.
Discret. Comput. Geom., 2000
Problems and Results around the Erdös-Szekeres Convex Polygon Theorem.
Proceedings of the Discrete and Computational Geometry, Japanese Conference, 2000
1998
The topological structure of maximal lattice free convex bodies: The general case.
Math. Program., 1998
Matrices with Identical Sets of Neighbors.
Math. Oper. Res., 1998
A Positive Fraction Erdos - Szekeres Theorem.
Discret. Comput. Geom., 1998
1997
Colourful Linear Programming and its Relatives.
Math. Oper. Res., 1997
1996
Colourful Linear Programming.
Proceedings of the Integer Programming and Combinatorial Optimization, 1996
1995
Discret. Comput. Geom., 1995
The Limit Shape of Convex Lattice Polygons.
Discret. Comput. Geom., 1995
1994
The complex of maximal lattice free simplices.
Math. Program., 1994
On the Expected Number of k-Sets.
Discret. Comput. Geom., 1994
On the Exact Constant i the Quantitative Steinitz Theorem in the Plane.
Discret. Comput. Geom., 1994
1993
Reflecting a triangle in the plane.
Graphs Comb., 1993
1992
Fair Distribution Protocols or How the Players Replace Fortune.
Math. Oper. Res., 1992
On the Number of Convex Lattice Polygons.
Comb. Probab. Comput., 1992
Point Selections and Weak e-Nets for Convex Hulls.
Comb. Probab. Comput., 1992
On integer points in polyhedra: a lower bound.
Comb., 1992
1991
On the Convex Hull of the Integer Points in a Disc.
Proceedings of the Seventh Annual Symposium on Computational Geometry, 1991
1990
A Combinatorial Property of Points anf Ellipsoids.
Discret. Comput. Geom., 1990
The Caratheodory number for the k-core.
Comb., 1990
On the number of halving planes.
Comb., 1990
Do Projections Go to Infinity?
Proceedings of the Applied Geometry And Discrete Mathematics, 1990
1989
A Combinatorial Result About Points and Balls in Euclidean Space.
Discret. Comput. Geom., 1989
1987
Covering with Euclidean Boxes.
Eur. J. Comb., 1987
Computing the Volume is Difficulte.
Discret. Comput. Geom., 1987
An extension of the Erdös - Szekeres theorem on large angles.
Comb., 1987
1986
Maximal volume enclosed by plates and proof of the chessboard conjecture.
Discret. Math., 1986
Packing and covering a tree by subtrees.
Comb., 1986
Computing the Volume Is Difficult
Proceedings of the 18th Annual ACM Symposium on Theory of Computing, 1986
1983
Mental Poker with Three or More Players
Inf. Control., 1983
1982
A generalization of carathéodory's theorem.
Discret. Math., 1982
1981
A Vector-Sum Theorem and its Application to Improving Flow Shop Guarantees.
Math. Oper. Res., 1981
1980
Borsuk's theorem through complementary pivoting.
Math. Program., 1980
1979
On a Class of Balancing Games.
J. Comb. Theory A, 1979
1978
A Short Proof of Kneser's Conjecture.
J. Comb. Theory A, 1978