Imre Bárány

Q: What Schools Are Affiliated With Imre Bárány

Imre Bárány is affiliated with the following schools: Central European University, University College London, Eötvös Loránd University

Imre Bárány's AcademicInfluence.com Rankings

Imre Bárány

Mathematics

#873

World Rank

#1541

Historical Rank

Combinatorics

#21

World Rank

#25

Historical Rank

Measure Theory

#2056

World Rank

#2492

Historical Rank

mathematics Degrees

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Mathematics

Imre Bárány's Degrees

PhD Mathematics Eötvös Loránd University

Why Is Imre Bárány Influential?

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According to Wikipedia, Imre Bárány is a Hungarian mathematician, working in combinatorics and discrete geometry. He works at the Rényi Mathematical Institute of the Hungarian Academy of Sciences, and has a part-time appointment at University College London.

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Imre Bárány's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A generalization of carathéodory's theorem (1982) (304)
Strong Formulations for Multi-Item Capacitated Lot Sizing (1984) (276)
LECTURES ON DISCRETE GEOMETRY (Graduate Texts in Mathematics 212) (2003) (237)
Uncapacitated lot-sizing: The convex hull of solutions (1984) (216)
Computing the volume is difficult (1986) (186)
CONVEX-BODIES, ECONOMIC CAP COVERINGS, RANDOM POLYTOPES (1988) (175)
On a Topological Generalization of a Theorem of Tverberg (1981) (173)
A Short Proof of Kneser's Conjecture (1978) (157)
Point Selections and Weak ε-Nets for Convex Hulls (1992) (155)
Fair Distribution Protocols or How the Players Replace Fortune (1992) (141)
On the number of halving planes (1989) (123)
Central limit theorems for Gaussian polytopes (2006) (117)
Random polytopes (2006) (113)
On a common generalization of Borsuk's and Radon's theorem (1979) (90)
A Colored Version of Tverberg's Theorem (1992) (87)
Random polytopes, convex bodies, and approximation (2007) (83)
Random polytopes in smooth convex bodies (1992) (78)
Nash equilibria in random games (2005) (75)
Colourful Linear Programming and its Relatives (1997) (71)
Empty Simplices in Euclidean Space (1987) (67)
Packing and covering a tree by subtrees (1986) (65)
Approximation of the sphere by polytopes having few vertices (1988) (62)
Random polytopes in a convex polytope, independence of shape, and concentration of vertices (1993) (61)
Random points and lattice points in convex bodies (2008) (60)
Problems and Results around the Erdös-Szekeres Convex Polygon Theorem (2000) (60)
On the convex hull of the integer points in a disc (1990) (59)
The convex hull of the integer points in a large ball (1998) (59)
A Positive Fraction Erdos - Szekeres Theorem (1998) (57)
Quantitative Helly-type theorems (1982) (56)
Very Colorful Theorems (2009) (56)
On some combinatorial questions in finite-dimensional spaces (1981) (55)
The limit shape of convex lattice polygons (1995) (51)
On 0-1 Polytopes with Many Facets (2001) (50)
Intrinsic volumes andf-vectors of random polytopes (1989) (48)
A GENERALIZATION OF CARATHEODORYS THEOREM (1982) (46)
Mental Poker with Three or More Players (1984) (46)
On integer points in polyhedra: A lower bound (1992) (45)
Sylvester's question : The probability that n points are in convex position (1999) (44)
Tverberg’s Theorem at 50: Extensions and Counterexamples (2016) (43)
A fractional Helly theorem for convex lattice sets (2003) (41)
On the Number of Convex Lattice Polygons (1992) (41)
A Vector-Sum Theorem and its Application to Improving Flow Shop Guarantees (1981) (40)
On the variance of random polytopes (2010) (40)
Equipartition of Two Measures by a 4-Fan (2002) (38)
Intrinsic volumes of inscribed random polytopes in smooth convex bodies (2009) (36)
Equipartitioning by a convex 3-fan (2010) (36)
Slicing Convex Sets and Measures by a Hyperplane (2008) (36)
An irregular mind : Szemerédi is 70 (2010) (35)
Simultaneous partitions of measures by K-fans (2001) (35)
On the Power of Linear Dependencies (2008) (35)
Affine perimeter and limit shape. (1997) (34)
The Minimum Area of Convex Lattice n-Gons (2004) (34)
On the number of convex lattice polytopes (1992) (33)
Helly"s theorem with volumes (1984) (31)
Random points in halfspheres (2015) (30)
Notes About the Carathéodory Number (2011) (25)
On the shape of the convex hull of random points (1988) (24)
Discrete Convex Functions and Proof of the Six Circle Conjecture of Fejes Tóth (1984) (24)
On the expected number of k-sets (1994) (23)
Barycentric subdivision of triangles and semigroups of Mobius maps (1996) (23)
Covering with Euclidean Boxes (1987) (22)
A note on Sylvester's four-point problem (2001) (21)
Quadratically Many Colorful Simplices (2007) (21)
Geometric and Combinatorial Applications of Borsuk’s Theorem (1993) (21)
Extremal problems for convex lattice polytopes: a survey, in: Contemporary Mathematics {\bf 453}, Surveys on Discrete and Comp. Geometry, Ed.: J. E. Gooodman et al. AMS, Providence, RI (2008), 87-103 (2008) (21)
The complex of maximal lattice free simplices (1994) (20)
Caratheodory's theorem, colourful and applicable (1997) (20)
Classification of two-person ordinal bimatrix games (1992) (20)
FEW POINTS TO GENERATE A RANDOM POLYTOPE (1997) (20)
Colourful and Fractional (p,q)-theorems (2014) (19)
Maximal volume enclosed by plates and proof of the chessboard conjecture (1986) (19)
Planar point sets with a small number of empty convex polygons (2004) (18)
On maximal convex lattice polygons inscribed in a plane convex set (2006) (17)
A combinatorial result about points and balls in euclidean space (1989) (17)
A Central Limit Theorem for Convex Chains in the Square (2000) (17)
Matrices with Identical Sets of Neighbors (1998) (16)
Borsuk's theorem and the number of facets of centrally symmetric polytopes (1982) (15)
On a Class of Balancing Games (1979) (14)
Covering lattice points by subspaces (2001) (14)
Diameters in Typical Convex Bodies (1990) (13)
On the Number of Lattice Free Polytopes (2000) (13)
An Irregular Mind (2010) (13)
The topological structure of maximal lattice free convex bodies: The general case (1995) (13)
Longest convex chains (2009) (12)
Applications of Graph and Hypergraph Theory in Geometry (2007) (12)
Borsuk's theorem through complementary pivoting (1980) (12)
Homogeneous selections from hyperplanes (2014) (12)
Random convex hulls: floating bodies and expectations (1993) (11)
Curves in Rd intersecting every hyperplane at most d + 1 times (2013) (11)
Geometry : intuitive, discrete, and convex : a tribute to László Fejes Tóth (2013) (11)
Paths with No Small Angles (2008) (10)
Affine diameters of convex bodies (2014) (10)
On the lattice diameter of a convex polygon (2001) (10)
Theorems of Carathéodory, Helly, and Tverberg Without Dimension (2018) (9)
Convexity and Discrete Geometry Including Graph Theory (2016) (9)
Problems and results around the Erdos-Szekeres Theorem (2001) (9)
Many Empty Triangles have a Common Edge (2012) (9)
Geometry — Intuitive, Discrete, and Convex (2013) (9)
A stability property of the densest circle packing (1988) (9)
An extension of the Erdős-Szekeres theorem on large angles (1987) (8)
Block partitions of sequences (2013) (8)
Every point is critical (2013) (7)
The Randomized Integer Convex Hull (2005) (7)
Berge's theorem, fractional Helly, and art galleries (2006) (7)
Small subset sums (2015) (6)
How (Not) to Cut Your Cheese (2021) (6)
A combinatorial property of points and ellipsoids (1990) (6)
A note on the size of the largest ball inside a convex polytope (2005) (6)
A case when the union of polytopes is convex (2005) (5)
Functions, Measures, and Equipartitioning Convex k-Fans (2013) (5)
A vector-sum theorem in two-dimensional space (1985) (5)
Topology of Geometric Joins (2013) (5)
On the exact constant in the quantitative Steinitz theorem in the plane (1994) (4)
Rich cells in an arrangement of hyperplanes (1995) (4)
Holding Circles and Fixing Frames (2013) (4)
A fractional Helly theorem for boxes (2014) (4)
Cells in the box and a hyperplane (2020) (4)
Tensors, colours, octahedra (2014) (4)
The caratheodory number for thek-core (1990) (4)
Jarník’s convex lattice n-gon for non-symmetric norms (2009) (3)
On the variance of random polygons (2010) (3)
Discrete and Convex Geometry (2006) (3)
Packing Cones and Their Negatives in Space (2007) (3)
Erdős–Szekeres Theorem for Lines (2013) (3)
Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame (2012) (3)
TETRAHEDRA PASSING THROUGH A TRIANGULAR HOLE (2009) (3)
Reflecting a triangle in the plane (1993) (3)
Combinatorial Convexity (2021) (3)
Total Curvature and Spiralling Shortest Paths (2003) (3)
Planar point sets with few empty convex polygons (2004) (3)
Curves in $\mathbb R^d$ intersecting every hyperplane at most $d+1$ times (2016) (3)
Central limit theorem for random convex chains (2000) (3)
Circles holding typical convex bodies (2013) (3)
Note a Short Proof of Kneser's Conjecture (2003) (2)
Do Projections Go to Infinity? (1990) (2)
Quadratic lower bound for the number of colourful simplices (2007) (2)
The chance that a convex body is lattice‐point free: A relative of Buffon's needle problem (2007) (2)
Pach’s Selection Theorem Does Not Admit a Topological Extension (2016) (2)
An Improved Bound for Orthogeodesic Point Set Embeddings of Trees (2016) (2)
Universal points of convex bodies and bisectors in Minkowski spaces (2014) (2)
Convex bodies, random polytopes, and approximation (2007) (2)
Helge Tverberg is eighty: A personal tribute (2017) (2)
Rearrangement of Series in Infinite-Dimensional Spaces (1986) (2)
Convexity and discrete geometry including graph theory : Mulhouse, France, September 2014 (2016) (1)
Lattice Points on the Boundary of the Integer Hull (2003) (1)
Longest convex chains, {\it Random Structures and Alg.} {\bf 35} (2009), 137--162, (with G. Ambrus) (2009) (1)
Erdős–Szekeres Theorem for k-Flats (2022) (1)
Random polytopes in smooth convex bodies: corrigendum (2004) (1)
Infinite paths with no small angles (2010) (1)
Correction to: New Trends in Intuitive Geometry (2018) (1)
An application of the universality theorem for Tverberg partitions to data depth and hitting convex sets (2020) (1)
The chance that a convex body is lattice-point free: A relative of Buffon's needle problem (2007) (1)
Typical curvature behaviour of bodies of constant width (2014) (1)
Volumes of Convex Lattice Polytopes and A Question of V. I. Arnold (2014) (1)
2013 Unit Vectors in the Plane (2013) (1)
On a question of V. I. Arnol’d (2012) (1)
Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry, by J Matoušek, Springer, 2003, 196 pp., £30.50/$49.95 €49.95 (2004) (1)
On affinely embeddable sets in the projective plane (1990) (0)
Transversal and Helly-type Theorems in Geometry, Combinatorics and Topology (2009) (0)
Smaller Gershgorin disks for multiple eigenvalues of complex matrices (2021) (0)
(n,m)-fold covers of spheres (2015) (0)
Holding Circles and Fixing Frames (2013) (0)
Jarník’s convex lattice n-gon for non-symmetric norms (2010) (0)
M ay 1 99 9 UNIVERSAL COUNTING OF LATTICE POINTS IN POLYTOPES (1999) (0)
(n,m)-fold covers of spheres (2014) (0)
On the Convex Hull of Random Points (1986) (0)
A Question from a Famous Paper of Erdős (2013) (0)
Notes About the Carathéodory Number (2012) (0)
Many Empty Triangles have a Common Edge (2013) (0)
Functions, Measures, and Equipartitioning Convex k-Fans (2012) (0)
Paths on the Sphere Without Small Angles (2016) (0)
MTMT2 TESZT: (n,m)-fold covers of spheres (2015) (0)
On a question of V. I. Arnol’d (2012) (0)
Workshop on Discrepancy Theory and Its Applications Table of Contents (2004) (0)
Acknowledgement of priority - A fractional Helly theorem for boxes (2018) (0)
Theorems of Carathéodory, Helly, and Tverberg Without Dimension (2020) (0)
Transversal , Helly and Tverberg type Theorems in Geometry , Combinatorics and Topology III (2017) (0)
Y Simultaneouspartitions of Measuresby K-fans* (0)
Colourful Linear Programming (1996) (0)
Special Issue: Transversal and Helly-type Theorems in Geometry, Combinatorics, and Topology Foreword (2011) (0)
Block partitions: an extended view (2017) (0)
Problems in Discrete Geometry and Optimization (2013) (0)
Longest convex lattice chains (2014) (0)
Volumes of Convex Lattice Polytopes and A Question of V. I. Arnold (2014) (0)
Piercing the chessboard (2021) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 13 / 2004 Discrepancy Theory and Its Applications (2004) (0)
On a question of Sylvester (1999) (0)
Pairwise intersecting convex sets and cylinders in $\R^3$ (2021) (0)
Diszkrét matematika és alkalmazásai = Discrete mathematics and its applications (2007) (0)
Erdős–Szekeres Theorem for Lines (2013) (0)
Guest Editors’ Foreword (2011) (0)
Diszkrét matematika = Discrete mathematics (2009) (0)
On a forgotten conjecture from a famous paper of Erdös (2013) (0)
Very Colourful theorems (2009) (0)
A Question from a Famous Paper of Erdős (2013) (0)
Geometric applications of graph and hypergraph theory (2005) (0)
On the number of empty simplices (2000) (0)
Geometry Fest in celebration of Ted Bisztriczky ’ s 60 th Birthday TALKS (0)
Block partitions: an extended view (2018) (0)
Approximation by random polytopes is of low complexity (2002) (0)
Guest Editor's Forword. (1995) (0)
Geometric Graphs and Arrangements: Some Chapters from Combinatorial Geometry, by Stefan Felsner, Vieweg Verlag, 2004, 170pp., 29.90 Euros (2006) (0)
Integer points on the boundary of the integer hull (2003) (0)
Pach’s Selection Theorem Does Not Admit a Topological Extension (2018) (0)
Integer Points in Rotating Convex Bodies (2003) (0)
SHORT PROOF OF KNESER CONJECTURE (1978) (0)
Special issue dedicated to the memory of Laszlo Fejes Toth - Foreword (2007) (0)
A note on the path-discrepancy of trees (1995) (0)
Topology of Geometric Joins (2015) (0)
Helly and Tverberg Type Theorems; Mass Partitions and Rado’s Central Type Theorems in Geometry, Combinatorics and Topology IV (2020) (0)
Foreword (2007) (0)
Orientation Preserving Maps of the Square Grid (2021) (0)
Block partitions of sequences (2014) (0)
Guest editors' foreword (1995) (0)

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Published Works

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