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## Bárány, Imre

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 Author ID: barany.imre Published as: Barany, I.; Barany, Imre; Bárány, I.; Bárány, Imre; Bárányi, I. Homepage: https://users.renyi.hu/~barany/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND
 Documents Indexed: 190 Publications since 1978, including 7 Books Reviewing Activity: 24 Reviews
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#### Co-Authors

 33 single-authored 14 Pach, János 12 Matoušek, Jiří 11 Furedi, Zoltan 10 Pór, Attila 6 Rote, Günter 5 Böröczky, Karoly jun. 5 Grinberg, Victor S. 5 Larman, David G. 5 Montejano Peimbert, Luis 5 Valtr, Pavel 5 Zamfirescu, Tudor I. 4 Fodor, Ferenc 4 Oliveros, Deborah 4 Reitzner, Matthias 4 Roldán-Pensado, Edgardo 4 Scarf, Herbert E. 4 Schneider, Rolf G. 3 Adiprasito, Karim Alexander 3 Ambrus, Gergely 3 Blagojević, Pavle V. M. 3 Fejes Tóth, Gábor 3 Howe, Roger Evans 3 Hubard, Alfredo 3 Károlyi, Gyula 3 Lovász, László 3 Mustafa, Nabil Hassan 3 Onn, Shmuel 3 Steiger, William L. 3 Wolsey, Laurence Alexander 2 Buchta, Christian 2 Goaoc, Xavier 2 Hug, Daniel 2 Jerónimo, Jesús 2 Kantor, Jean-Michel 2 Karasev, Roman N. 2 Katchalski, Meir 2 Kincses, János 2 Maehara, Hiroshi 2 Martínez-Pérez, Álvaro 2 Meshulam, Roy 2 Robins, Sinai 2 Soberón, Pablo 2 Solymosi, József 2 Szűcs, András 2 Tóth, Géza 2 van Roy, Tony J. 2 Vîlcu, Costin 2 Vu, Van H. 1 Akopyan, Arseniy V. 1 Alon, Noga M. 1 Arocha, Jorge Luis 1 Bajmoczy, E. G. 1 Balog, Antal 1 Beardon, Alan Frank 1 Blagojević, Aleksandra Dimitrijević 1 Böröczky, Karoly 1 Bracho, Javier 1 Bunting, H. 1 Bureaux, Julien 1 Carne, Thomas Keith 1 Castro, Jesús Jerónimo 1 Csóka, Endre 1 Dalla, Leoni 1 Doerr, Benjamin 1 Dolbilin, Nikolaĭ Petrovich 1 Edmonds, Jeffery 1 Enriquez, Nathanaël 1 Fabila-Monroy, Ruy 1 Fabila, Ruy 1 Fiala, Tibor 1 Fradelizi, Matthieu 1 Frankl, Péter 1 Fukuda, Komei 1 Ginzburg, Boris D. 1 Goodman, Jacob Eli 1 Harcos, Gergely 1 Heppes, Aladár 1 Holmsen, Andreas F. 1 Itoh, Jin-ichi 1 Kalai, Gil 1 Katona, Gyula O. H. 1 Kleitman, Daniel J. 1 Kuperberg, Krystyna Maria 1 Laczkovich, Miklós 1 Lee, Jon 1 Lehel, Jeno 1 Lund, Ben D. 1 Makai, Endre jun. 1 Marckert, Jean-François 1 Martin, Greg 1 Naslund, Eric 1 Nevo, Eran 1 Norihide Tokushige 1 Perles, Micha A. 1 Pollack, Richard M. 1 Prodromou, Maria N. 1 Sali, Attila 1 Schmerl, James H. 1 Shallcross, David F. 1 Shlosman, Semen B. ...and 19 more Co-Authors
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#### Serials

 30 Discrete & Computational Geometry 8 Advances in Mathematics 6 Combinatorica 6 Computational Geometry 6 Linear Algebra and its Applications 5 Discrete Mathematics 5 Mathematika 5 Bolyai Society Mathematical Studies 4 The Annals of Probability 4 Mathematics of Operations Research 4 Studia Scientiarum Mathematicarum Hungarica 4 Acta Mathematica Hungarica 4 Random Structures & Algorithms 3 Periodica Mathematica Hungarica 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 European Journal of Combinatorics 3 Oberwolfach Reports 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Israel Journal of Mathematics 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Mathematical Programming. Series A. Series B 2 Combinatorics, Probability and Computing 2 Documenta Mathematica 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Acta Scientiarum Mathematicarum 1 Information and Control 1 International Journal of Game Theory 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal für die Reine und Angewandte Mathematik 1 Management Science 1 Mathematical Programming Study 1 Mathematical Programming 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Szigma 1 Graphs and Combinatorics 1 Probability Theory and Related Fields 1 Geometric and Functional Analysis. GAFA 1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 1 Notices of the American Mathematical Society 1 Journal of Convex Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Advances in Geometry 1 Proceedings of the Steklov Institute of Mathematics 1 Springer Proceedings in Mathematics & Statistics 1 Libertas Mathematica. New Series 1 Bulletin of the Hellenic Mathematical Society 1 Annales Henri Lebesgue
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#### Fields

 152 Convex and discrete geometry (52-XX) 30 Combinatorics (05-XX) 30 Probability theory and stochastic processes (60-XX) 17 Number theory (11-XX) 16 Operations research, mathematical programming (90-XX) 12 General and overarching topics; collections (00-XX) 9 Geometry (51-XX) 8 History and biography (01-XX) 8 Computer science (68-XX) 7 General topology (54-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Differential geometry (53-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Manifolds and cell complexes (57-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

143 Publications have been cited 1,492 times in 971 Documents Cited by Year
A generalization of Caratheodory’s theorem. Zbl 0492.52005
Barany, Imre
1982
Strong formulations for multi-item capacitated lot sizing. Zbl 0601.90037
Barany, Imre; van Roy, Tony J.; Wolsey, Laurence A.
1984
Uncapacitated lot-sizing: The convex hull of solutions. Zbl 0551.90068
Barany, Imre; van Roy, Tony; Wolsey, Laurence A.
1984
Convex bodies, economic cap coverings, random polytopes. Zbl 0674.52003
Bárány, I.; Larman, D. G.
1988
On a topological generalization of a theorem of Tverberg. Zbl 0453.55003
Barany, I.; Shlosman, S. B.; Szűcs, András
1981
A short proof of Kneser’s conjecture. Zbl 0404.05028
Barany, I.
1978
Point selections and weak $$\varepsilon$$-nets for convex hulls. Zbl 0797.52004
Alon, Noga; Bárány, Imre; Füredi, Zoltán; Kleitman, Daniel J.
1992
Computing the volume is difficult. Zbl 0628.68041
Bárány, Imre; Füredi, Zoltán
1987
Fair distribution protocols or how the players replace fortune. Zbl 0764.90094
Bárány, Imre
1992
On the number of halving planes. Zbl 0718.52009
Bárány, I.; Füredi, Z.; Lovász, László
1990
Intrinsic volumes and f-vectors of random polytopes. Zbl 0696.52005
Bárány, Imre
1989
Planar point sets with a small number of empty convex polygons. Zbl 1075.52008
Bárány, I.; Valtr, P.
2004
A colored version of Tverberg’s theorem. Zbl 0769.52008
Bárány, I.; Larman, D. G.
1992
Random polytopes in smooth convex bodies. Zbl 0765.52009
Bárány, Imre
1992
Simultaneous partitions of measures by $$k$$-fans. Zbl 0989.52009
Bárány, I.; Matoušek, J.
2001
Colourful linear programming and its relatives. Zbl 0887.90111
Bárány, Imre; Onn, Shmuel
1997
Empty simplices in Euclidean space. Zbl 0639.52006
Bárány, Imre; Füredi, Zoltán
1987
Approximation of the sphere by polytopes having few vertices. Zbl 0669.52003
Bárány, I.; Füredi, Z.
1988
On some combinatorial questions in finite-dimensional spaces. Zbl 0467.90079
Barany, I.; Grinberg, V. S.
1981
Very colorful theorems. Zbl 1173.52002
Arocha, Jorge L.; Bárány, Imre; Bracho, Javier; Fabila, Ruy; Montejano, Luis
2009
Central limit theorems for Gaussian polytopes. Zbl 1124.60014
Bárány, Imre; Vu, Van
2007
A positive fraction Erdős-Szekeres theorem. Zbl 0914.52007
Bárány, I.; Valtr, P.
1998
Random polytopes in a convex polytope, independence of shape, and concentration of vertices. Zbl 0788.52003
Bárány, Imre; Buchta, Christian
1993
On the variance of random polytopes. Zbl 1204.52007
Bárány, Imre; Reitzner, Matthias
2010
The limit shape of convex lattice polygons. Zbl 0824.52001
Bárány, I.
1995
On a common generalization of Borsuk’s and Radon’s theorem. Zbl 0446.52010
Bajmoczy, E. G.; Barany, I.
1979
Random polytopes, convex bodies, and approximation. Zbl 1123.60006
Bárány, Imre
2007
Problems and results around the Erdős-Szekeres convex polygon theorem. Zbl 0998.52004
Bárány, Imre; Károlyi, Gyula
2001
The convex hull of the integer points in a large ball. Zbl 0927.52020
Bárány, Imre; Larman, David G.
1998
Packing and covering a tree by subtrees. Zbl 0642.05042
Bárány, I.; Edmonds, J.; Wolsey, L. A.
1986
Quantitative Helly-type theorems. Zbl 0511.52005
Barany, Imre; Katchalski, Meir; Pach, Janos
1982
Random points and lattice points in convex bodies. Zbl 1144.52004
Bárány, Imre
2008
On the number of convex lattice polytopes. Zbl 0772.52010
Bárány, I.; Vershik, A. M.
1992
Poisson polytopes. Zbl 1204.60018
Bárány, Imre; Reitzner, Matthias
2010
On 0-1 polytopes with many facets. Zbl 0988.52014
Bárány, Imre; Pór, Attila
2001
Sylvester’s question: The probability that $$n$$ points are in convex position. Zbl 0959.60006
Bárány, Imre
1999
Borsuk’s theorem and the number of facets of centrally symmetric polytopes. Zbl 0514.52003
Barany, I.; Lovász, László
1982
Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022
Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M.
2016
Strictly convex drawings of planar graphs. Zbl 1108.05065
Bárány, Imre; Rote, Günter
2006
Affine perimeter and limit shape. Zbl 0864.52010
Bárány, Imre
1997
Nearly optimum solution of multi-machine scheduling problems. Zbl 0506.90036
Barany, Imre; Fiala, Tibor
1982
A vector-sum theorem and its application to improving flow shop guarantees. Zbl 0489.90051
Barany, Imre
1981
Random points in halfspheres. Zbl 1362.52002
Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2017
Intrinsic volumes of inscribed random polytopes in smooth convex bodies. Zbl 1211.52005
Bárány, I.; Fodor, F.; Vígh, V.
2010
The minimum area of convex lattice $$n$$-gons. Zbl 1068.52022
Bárány, Imre; Norihide Tokushige
2004
A fractional Helly theorem for convex lattice sets. Zbl 1028.52003
Bárány, Imre; Matoušek, Jiří
2003
On the convex hull of the integer points in a disc. Zbl 0746.52017
Balog, Antal; Bárány, Imre
1991
Helly’s theorem with volumes. Zbl 0546.52005
Bárány, I.; Katchalski, M.; Pach, János
1984
Nash equilibria in random games. Zbl 1130.91312
Bárány, Imre; Vempala, Santosh; Vetta, Adrian
2007
Equipartition of two measures by a 4-fan. Zbl 1002.60006
Bárány, I.; Matoušek, J.
2002
A note on Sylvester’s four-point problem. Zbl 1002.60008
Bárány, I.
2001
On the minimal ring containing the boundary of a convex body. Zbl 0652.52005
Bárány, Imre
1988
Equipartitioning by a convex 3-fan. Zbl 1190.52001
Bárány, Imre; Blagojević, Pavle; Szűcs, András
2010
Few points to generate a random polytope. Zbl 0902.52002
Bárány, Imre; Dalla, Leoni
1997
A combinatorial result about points and balls in Euclidean space. Zbl 0673.52009
Bárány, I.; Schmerl, J. H.; Sidney, S. J.; Urrutia, J.
1989
Covering with Euclidean boxes. Zbl 0623.05041
Bárány, Imre; Lehel, Jenö
1987
Tverberg’s theorem is 50 years old: a survey. Zbl 1401.52012
Bárány, Imre; Soberón, Pablo
2018
Colourful and fractional $$(p,q)$$-theorems. Zbl 1298.52010
Bárány, I.; Fodor, F.; Montejano, L.; Oliveros, D.; Pór, A.
2014
Quadratically many colorful simplices. Zbl 1134.52003
Bárány, Imre; Matoušek, Jiří
2007
On the number of convex lattice polygons. Zbl 0798.52012
Bárány, Imre; Pach, János
1992
On integer points in polyhedra: A lower bound. Zbl 0754.52005
Bárány, Imre; Howe, Roger; Lovász, László
1992
Matrices with identical sets of neighbors. Zbl 0977.90023
Bárány, Imre; Scarf, Herbert
1998
Carathéodory’s theorem, colourful and applicable. Zbl 0883.52004
Bárány, I.; Onn, S.
1997
Diameters in typical convex bodies. Zbl 0715.52002
Bárány, Imre; Zamfirescu, Tudor
1990
Maximal volume enclosed by plates and proof of the chessboard conjecture. Zbl 0611.52012
Böröczky, K.; Bárány, I.; Makai, E. jun.; Pach, J.
1986
On the power of linear dependencies. Zbl 1160.15001
Bárány, Imre
2008
Extremal problems for convex lattice polytopes: a survey. Zbl 1154.52008
Bárány, Imre
2008
Covering lattice points by subspaces. Zbl 1062.11043
Bárány, Imre; Harcos, Gergely; Pach, János; Tardos, Gábor
2001
On the number of lattice free polytopes. Zbl 0954.52015
Bárány, Imre; Kantor, Jean-Michel
2000
A central limit theorem for convex chains in the square. Zbl 0954.52008
Bárány, I.; Rote, G.; Steiger, W.; Zhang, C.-H.
2000
Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006
Bárány, I.; Beardon, A. F.; Carne, T. K.
1996
The complex of maximal lattice free simplices. Zbl 0822.90104
Bárány, Imre; Howe, Roger; Scarf, Herbert E.
1994
On the shape of the convex hull of random points. Zbl 0639.60015
Bárány, Imre; Füredi, Zoltán
1988
Discrete convex functions and proof of the six circle conjecture of Fejes Toth. Zbl 0507.52001
Bárány, Imre; Füredi, Zoltán; Pach, János
1984
Borsuk’s theorem through complementary pivoting. Zbl 0445.90102
Barany, Imre
1980
Circles holding typical convex bodies. Zbl 1308.52002
Bárány, Imre; Zamfirescu, Tudor
2013
Notes about the Carathéodory number. Zbl 1258.52004
Bárány, Imre; Karasev, Roman
2012
Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame. Zbl 1242.52003
Bárány, Imre; Maehara, Hiroshi; Tokushige, Norihide
2012
Slicing convex sets and measures by a hyperplane. Zbl 1142.52004
Bárány, Imre; Hubard, Alfredo; Jerónimo, Jesús
2008
On maximal convex lattice polygons inscribed in a plane convex set. Zbl 1144.52007
Bárány, Imre; Prodromou, Maria
2006
Geometric and combinatorial applications of Borsuk’s theorem. Zbl 0788.52012
Bárány, Imre
1993
A vector-sum theorem in two-dimensional space. Zbl 0579.52005
Bárány, I.; Grinberg, V. S.
1985
Tverberg plus minus. Zbl 1401.52014
Bárány, Imre; Soberón, Pablo
2018
Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw. Zbl 1385.60021
Bárány, Imre; Thäle, Christoph
2017
Algebraic vertices of non-convex polyhedra. Zbl 1364.52011
Akopyan, Arseniy; Bárány, Imre; Robins, Sinai
2017
Block partitions of sequences. Zbl 1315.26017
Bárány, Imre; Grinberg, Victor S.
2015
Helly type theorems for the sum of vectors in a normed plane. Zbl 1312.52006
Bárány, Imre; Jerónimo-Castro, Jesús
2015
Homogeneous selections from hyperplanes. Zbl 1282.05170
Bárány, Imre; Pach, János
2014
Many empty triangles have a common edge. Zbl 1279.52009
Bárány, Imre; Marckert, Jean-François; Reitzner, Matthias
2013
Every point is critical. Zbl 1273.53061
Bárány, Imre; Itoh, Jin-Ichi; Vîlcu, Costin; Zamfirescu, Tudor
2013
Berge’s theorem, fractional Helly, and art galleries. Zbl 1103.52003
Bárány, Imre; Matoušek, Jiří
2006
Balanced partitions of vector sequences. Zbl 1091.15030
Bárány, Imre; Doerr, Benjamin
2006
The randomized integer convex hull. Zbl 1078.52005
Bárány, Imre; Matoušek, Jirí
2005
Reflecting a triangle in the plane. Zbl 0780.52018
Bárány, Imre; Frankl, Peter; Maehara, Hiroshi
1993
Classification of two-person ordinal bimatrix games. Zbl 0762.90092
Bárány, I.; Lee, J.; Shubik, M.
1992
Do projections go to infinity? Zbl 0739.51020
Bárány, Imre; Goodman, Jacob E.; Pollack, Richard
1991
An extension of the Erdős-Szekeres theorem on large angles. Zbl 0655.51007
Bárányi, I.
1987
Covering all secants of a square. Zbl 0629.52011
Bárány, I.; Füredi, Z.
1987
Gershgorin disks for multiple eigenvalues of non-negative matrices. Zbl 1385.15002
Bárány, Imre; Solymosi, József
2017
Small subset sums. Zbl 1337.52006
Ambrus, Gergely; Bárány, Imre; Grinberg, Victor
2016
Tverberg’s theorem is 50 years old: a survey. Zbl 1401.52012
Bárány, Imre; Soberón, Pablo
2018
Tverberg plus minus. Zbl 1401.52014
Bárány, Imre; Soberón, Pablo
2018
Random points in halfspheres. Zbl 1362.52002
Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2017
Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw. Zbl 1385.60021
Bárány, Imre; Thäle, Christoph
2017
Algebraic vertices of non-convex polyhedra. Zbl 1364.52011
Akopyan, Arseniy; Bárány, Imre; Robins, Sinai
2017
Gershgorin disks for multiple eigenvalues of non-negative matrices. Zbl 1385.15002
Bárány, Imre; Solymosi, József
2017
A Tverberg type theorem for matroids. Zbl 1387.05036
Bárány, Imre; Kalai, Gil; Meshulam, Roy
2017
Helge Tverberg is eighty: a personal tribute. Zbl 1372.01024
Bárány, Imre
2017
Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022
Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M.
2016
Small subset sums. Zbl 1337.52006
Ambrus, Gergely; Bárány, Imre; Grinberg, Victor
2016
Curves in $$\mathbb R^d$$ intersecting every hyperplane at most $$d+1$$ times. Zbl 1351.05219
Bárány, Imre; Matoušek, Jiří; Pór, Attila
2016
Affine diameters of convex bodies. Zbl 1335.52006
Bárány, Imre; Hug, Daniel; Schneider, Rolf
2016
Block partitions of sequences. Zbl 1315.26017
Bárány, Imre; Grinberg, Victor S.
2015
Helly type theorems for the sum of vectors in a normed plane. Zbl 1312.52006
Bárány, Imre; Jerónimo-Castro, Jesús
2015
Topology of geometric joins. Zbl 1408.52002
Bárány, Imre; Holmsen, Andreas F.; Karasev, Roman
2015
A fractional Helly theorem for boxes. Zbl 1305.52014
Bárány, I.; Fodor, F.; Martínez-Pérez, A.; Montejano, L.; Oliveros, D.; Pór, A.
2015
Tensors, colours, octahedra. Zbl 1352.52007
Bárány, Imre
2015
Erdős-Szekeres theorem for lines. Zbl 1326.52015
Bárány, Imre; Roldán-Pensado, Edgardo; Tóth, Géza
2015
Typical curvature behaviour of bodies of constant width. Zbl 1310.52002
Bárány, Imre; Schneider, Rolf
2015
Colourful and fractional $$(p,q)$$-theorems. Zbl 1298.52010
Bárány, I.; Fodor, F.; Montejano, L.; Oliveros, D.; Pór, A.
2014
Homogeneous selections from hyperplanes. Zbl 1282.05170
Bárány, Imre; Pach, János
2014
Universal points of convex bodies and bisectors in Minkowski spaces. Zbl 1294.52002
Bárány, Imre; Schneider, Rolf
2014
Circles holding typical convex bodies. Zbl 1308.52002
Bárány, Imre; Zamfirescu, Tudor
2013
Many empty triangles have a common edge. Zbl 1279.52009
Bárány, Imre; Marckert, Jean-François; Reitzner, Matthias
2013
Every point is critical. Zbl 1273.53061
Bárány, Imre; Itoh, Jin-Ichi; Vîlcu, Costin; Zamfirescu, Tudor
2013
Geometry – intuitive, discrete, and convex. A tribute to László Fejes Tóth. Zbl 1282.05006
Bárány, Imre (ed.); Böröczky, Károly jun. (ed.); Fejes Tóth, Gábor (ed.); Pach, János (ed.)
2013
Holding circles and fixing frames. Zbl 1283.52002
Bárány, Imre; Zamfirescu, Tudor
2013
On the variance of random polygons. Zbl 1257.52003
Bárány, Imre; Steiger, William
2013
2013 unit vectors in the plane. Zbl 1279.05009
Bárány, Imre; Ginzburg, Boris D.; Grinberg, Victor S.
2013
Functions, measures, and equipartitioning convex $$k$$-fans. Zbl 1263.60007
Bárány, Imre; Blagojević, Pavle; Dimitrijević Blagojević, Aleksandra
2013
Notes about the Carathéodory number. Zbl 1258.52004
Bárány, Imre; Karasev, Roman
2012
Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame. Zbl 1242.52003
Bárány, Imre; Maehara, Hiroshi; Tokushige, Norihide
2012
Jarník’s convex lattice $$n$$-gon for non-symmetric norms. Zbl 1243.52013
Bárány, Imre; Enriquez, Nathanaël
2012
On the variance of random polytopes. Zbl 1204.52007
Bárány, Imre; Reitzner, Matthias
2010
Poisson polytopes. Zbl 1204.60018
Bárány, Imre; Reitzner, Matthias
2010
Intrinsic volumes of inscribed random polytopes in smooth convex bodies. Zbl 1211.52005
Bárány, I.; Fodor, F.; Vígh, V.
2010
Equipartitioning by a convex 3-fan. Zbl 1190.52001
Bárány, Imre; Blagojević, Pavle; Szűcs, András
2010
An irregular mind. Szemerédi is 70. Dedicated to Endre Szemerédi on the occasion of his seventieth birthday. Zbl 1196.00042
Bárány, Imre (ed.); Solymosi, József (ed.)
2010
Very colorful theorems. Zbl 1173.52002
Arocha, Jorge L.; Bárány, Imre; Bracho, Javier; Fabila, Ruy; Montejano, Luis
2009
Paths with no small angles. Zbl 1204.52018
Bárány, Imre; Pór, Attila; Valtr, Pavel
2009
Longest convex chains. Zbl 1206.52009
Ambrus, Gergely; Bárány, Imre
2009
Slicing convex sets and measures by a hyperplane. Zbl 1184.52003
Bárány, Imre; Hubard, Alfredo; Jerónimo, Jesús
2009
Random points and lattice points in convex bodies. Zbl 1144.52004
Bárány, Imre
2008
On the power of linear dependencies. Zbl 1160.15001
Bárány, Imre
2008
Extremal problems for convex lattice polytopes: a survey. Zbl 1154.52008
Bárány, Imre
2008
Slicing convex sets and measures by a hyperplane. Zbl 1142.52004
Bárány, Imre; Hubard, Alfredo; Jerónimo, Jesús
2008
Paths with no small angles. Zbl 1136.68548
Bárány, Imre; Pór, Attila; Valtr, Pavel
2008
Central limit theorems for Gaussian polytopes. Zbl 1124.60014
Bárány, Imre; Vu, Van
2007
Random polytopes, convex bodies, and approximation. Zbl 1123.60006
Bárány, Imre
2007
Nash equilibria in random games. Zbl 1130.91312
Bárány, Imre; Vempala, Santosh; Vetta, Adrian
2007
Quadratically many colorful simplices. Zbl 1134.52003
Bárány, Imre; Matoušek, Jiří
2007
The chance that a convex body is lattice-point free: a relative of Buffon’s needle problem. Zbl 1141.52020
Bárány, Imre
2007
Strictly convex drawings of planar graphs. Zbl 1108.05065
Bárány, Imre; Rote, Günter
2006
On maximal convex lattice polygons inscribed in a plane convex set. Zbl 1144.52007
Bárány, Imre; Prodromou, Maria
2006
Berge’s theorem, fractional Helly, and art galleries. Zbl 1103.52003
Bárány, Imre; Matoušek, Jiří
2006
Balanced partitions of vector sequences. Zbl 1091.15030
Bárány, Imre; Doerr, Benjamin
2006
Discrete and convex geometry. Zbl 1114.52001
Bárány, Imre
2006
The randomized integer convex hull. Zbl 1078.52005
Bárány, Imre; Matoušek, Jirí
2005
A case when the union of polytopes is convex. Zbl 1072.52007
Bárány, Imre; Fukuda, Komei
2005
A note on the size of the largest ball inside a convex polytope. Zbl 1100.52003
Bárány, Imre; Simányi, Nándor
2005
Applications of graph and hypergraph theory in geometry. Zbl 1090.05066
Bárány, Imre
2005
Planar point sets with a small number of empty convex polygons. Zbl 1075.52008
Bárány, I.; Valtr, P.
2004
The minimum area of convex lattice $$n$$-gons. Zbl 1068.52022
Bárány, Imre; Norihide Tokushige
2004
A fractional Helly theorem for convex lattice sets. Zbl 1028.52003
Bárány, Imre; Matoušek, Jiří
2003
Total curvature and spiralling shortest paths. Zbl 1043.52004
Bárány, Imre; Kuperberg, Krystyna; Zamfirescu, Tudor
2003
Equipartition of two measures by a 4-fan. Zbl 1002.60006
Bárány, I.; Matoušek, J.
2002
Random points, convex bodies, lattices. Zbl 1010.52007
Bárány, Imre
2002
Simultaneous partitions of measures by $$k$$-fans. Zbl 0989.52009
Bárány, I.; Matoušek, J.
2001
Problems and results around the Erdős-Szekeres convex polygon theorem. Zbl 0998.52004
Bárány, Imre; Károlyi, Gyula
2001
On 0-1 polytopes with many facets. Zbl 0988.52014
Bárány, Imre; Pór, Attila
2001
A note on Sylvester’s four-point problem. Zbl 1002.60008
Bárány, I.
2001
Covering lattice points by subspaces. Zbl 1062.11043
Bárány, Imre; Harcos, Gergely; Pach, János; Tardos, Gábor
2001
On the lattice diameter of a convex polygon. Zbl 0999.52011
Bárány, Imre; Füredi, Zoltán
2001
On the number of lattice free polytopes. Zbl 0954.52015
Bárány, Imre; Kantor, Jean-Michel
2000
A central limit theorem for convex chains in the square. Zbl 0954.52008
Bárány, I.; Rote, G.; Steiger, W.; Zhang, C.-H.
2000
The technique of $$M$$-regions and cap coverings: A survey. Zbl 0986.52001
Bárány, Imre
2000
Sylvester’s question: The probability that $$n$$ points are in convex position. Zbl 0959.60006
Bárány, Imre
1999
Universal counting of lattice points in polytopes. Zbl 0954.52014
Bárány, Imre; Kantor, Jean-Michel
1999
A positive fraction Erdős-Szekeres theorem. Zbl 0914.52007
Bárány, I.; Valtr, P.
1998
The convex hull of the integer points in a large ball. Zbl 0927.52020
Bárány, Imre; Larman, David G.
1998
Matrices with identical sets of neighbors. Zbl 0977.90023
Bárány, Imre; Scarf, Herbert
1998
The topological structure of maximal lattice free convex bodies: The general case. Zbl 0894.90176
Bárány, I.; Scarf, H. E.; Shallcross, D.
1998
Colourful linear programming and its relatives. Zbl 0887.90111
Bárány, Imre; Onn, Shmuel
1997
Affine perimeter and limit shape. Zbl 0864.52010
Bárány, Imre
1997
Few points to generate a random polytope. Zbl 0902.52002
Bárány, Imre; Dalla, Leoni
1997
Carathéodory’s theorem, colourful and applicable. Zbl 0883.52004
Bárány, I.; Onn, S.
1997
Approximation by random polytopes is almost optimal. Zbl 0890.52006
Bárány, Imre
1997
Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006
Bárány, I.; Beardon, A. F.; Carne, T. K.
1996
The limit shape of convex lattice polygons. Zbl 0824.52001
Bárány, I.
1995
Rich cells in an arrangement of hyperplanes. Zbl 0831.52007
Bárány, I.; Bunting, H.; Larman, D. G.; Pach, J.
1995
The complex of maximal lattice free simplices. Zbl 0822.90104
Bárány, Imre; Howe, Roger; Scarf, Herbert E.
1994
On the exact constant in the quantitative Steinitz theorem in the plane. Zbl 0817.52011
Bárány, I.; Heppes, A.
1994
The densest $$(n+1)$$-set in $$\mathbb{R}^ n$$. Zbl 0829.52004
Bárány, I.
1994
Random polytopes in a convex polytope, independence of shape, and concentration of vertices. Zbl 0788.52003
Bárány, Imre; Buchta, Christian
1993
Geometric and combinatorial applications of Borsuk’s theorem. Zbl 0788.52012
Bárány, Imre
1993
Reflecting a triangle in the plane. Zbl 0780.52018
Bárány, Imre; Frankl, Peter; Maehara, Hiroshi
1993
The complex of maximal lattice free simplices. Zbl 0923.90117
Bárány, Imre; Howe, Roger; Scarf, Herbert E.
1993
Random convex hulls: Floating bodies and expectations. Zbl 0795.60008
Bárány, I.; Vitale, R. A.
1993
Point selections and weak $$\varepsilon$$-nets for convex hulls. Zbl 0797.52004
Alon, Noga; Bárány, Imre; Füredi, Zoltán; Kleitman, Daniel J.
1992
Fair distribution protocols or how the players replace fortune. Zbl 0764.90094
Bárány, Imre
1992
...and 43 more Documents
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#### Cited by 1,214 Authors

 63 Bárány, Imre 20 Thäle, Christoph 20 Wolsey, Laurence Alexander 17 Reitzner, Matthias 15 Karasev, Roman N. 14 Hug, Daniel 14 Matoušek, Jiří 14 Živaljević, Rade T. 13 Blagojević, Pavle V. M. 13 Soberón, Pablo 12 Fabila-Monroy, Ruy 12 Mustafa, Nabil Hassan 12 Pach, János 12 Valtr, Pavel 12 Werner, Elisabeth M. 11 Aichholzer, Oswin 11 Huemer, Clemens 11 Urrutia Galicia, Jorge L. 11 Ziegler, Günter Matthias 10 Hackl, Thomas 9 Alon, Noga M. 9 De Loera, Jesús A. 9 Holmsen, Andreas F. 9 Kabluchko, Zakhar A. 9 Vogtenhuber, Birgit 8 Böröczky, Karoly jun. 8 Fodor, Ferenc 8 Prochno, Joscha 8 Schneider, Rolf G. 8 Vrećica, Siniša T. 7 Akartunalı, Kerem 7 Deza, Antoine 7 Grote, Julian 7 Hurtado, Ferran 7 Montejano Peimbert, Luis 7 Ray, Saurabh 7 Schütt, Carsten 7 Zamfirescu, Tudor I. 6 Alonso-Gutiérrez, David 6 Brunel, Victor-Emmanuel 6 Calka, Pierre 6 Edelsbrunner, Herbert 6 Giannopoulos, Apostolos A. 6 Guan, Yongpei 6 Hubard, Alfredo 6 Károlyi, Gyula 6 Magnanti, Thomas L. 6 Miller, Andrew J. 6 Nivasch, Gabriel 6 Roldán-Pensado, Edgardo 6 Rote, Günter 6 Sharir, Micha 6 Steiger, William L. 6 Tancer, Martin 6 Vu, Van H. 6 Wu, Tao 5 Balko, Martin 5 Bereg, Sergey N. 5 Besau, Florian 5 Bukh, Boris 5 Furedi, Zoltan 5 Jans, Raf 5 Kalai, Gil 5 Kupavskii, Andrey 5 Kyncl, Jan 5 Litvak, Aleksandr Evgen’evich 5 Lovász, László 5 Maehara, Hiroshi 5 Meshulam, Roy 5 Oliveros, Deborah 5 Seara, Carlos 5 Sevastyanov, Sergeĭ Vasil’evich 5 Stephen, Tamon 5 Tardos, Gábor 5 Temesvari, Daniel 5 Tóth, Géza 5 Turchi, Nicola 5 Vempala, Santosh S. 5 Vígh, Viktor 5 Yukich, Joseph Elliott 4 Aghezzaf, El-Houssaine 4 Aronov, Boris 4 Buchta, Christian 4 Chasapis, Giorgos 4 Degraeve, Zeger 4 Dumitrescu, Adrian 4 Forges, Françoise 4 Goaoc, Xavier 4 Grinberg, Victor S. 4 Har-Peled, Sariel 4 Kim, Minki 4 Ludwig, Monika 4 Martini, Horst 4 Matschke, Benjamin 4 Merino, Bernardo González 4 Meunier, Frédéric 4 Nemhauser, George L. 4 Paouris, Grigoris 4 Pilz, Alexander 4 Pochet, Yves ...and 1,114 more Authors
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#### Cited in 200 Serials

 121 Discrete & Computational Geometry 38 Computational Geometry 38 European Journal of Operational Research 37 Journal of Combinatorial Theory. Series A 35 Advances in Mathematics 33 Discrete Mathematics 29 Israel Journal of Mathematics 25 Discrete Applied Mathematics 20 Mathematical Programming. Series A. Series B 17 Mathematika 17 European Journal of Combinatorics 17 Operations Research Letters 17 Graphs and Combinatorics 16 Proceedings of the American Mathematical Society 16 Computers & Operations Research 15 Combinatorica 14 Transactions of the American Mathematical Society 13 Annals of Operations Research 13 Games and Economic Behavior 11 Probability Theory and Related Fields 10 Journal of Economic Theory 10 Theoretical Computer Science 9 The Annals of Probability 9 Algorithmica 8 Advances in Applied Probability 8 Periodica Mathematica Hungarica 7 Journal of Geometry 7 SIAM Journal on Computing 7 Advances in Applied Mathematics 7 Bulletin of the American Mathematical Society. New Series 7 Combinatorics, Probability and Computing 7 Discrete Optimization 6 Information Processing Letters 6 Journal of Mathematical Analysis and Applications 6 Mathematical Notes 6 Journal of Combinatorial Theory. Series B 6 Journal of Functional Analysis 6 Monatshefte für Mathematik 6 Topology and its Applications 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 5 Geometriae Dedicata 5 Advances in Geometry 4 Mathematische Annalen 4 Acta Mathematica Hungarica 4 SIAM Journal on Discrete Mathematics 4 Journal of Global Optimization 4 Geometric and Functional Analysis. GAFA 4 Bernoulli 4 Communications in Contemporary Mathematics 4 Optimization Letters 3 Computers & Mathematics with Applications 3 Functional Analysis and its Applications 3 International Journal of Game Theory 3 Journal of Mathematical Economics 3 Manuscripta Mathematica 3 Mathematical Social Sciences 3 International Journal of Production Research 3 Order 3 Journal of Theoretical Probability 3 Journal of the American Mathematical Society 3 Random Structures & Algorithms 3 International Journal of Computational Geometry & Applications 3 The Annals of Applied Probability 3 Electronic Journal of Probability 3 INFORMS Journal on Computing 3 Journal of Scheduling 2 International Journal of Mathematical Education in Science and Technology 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Beiträge zur Algebra und Geometrie 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Journal of Algebra 2 Journal of Applied Probability 2 Journal of Approximation Theory 2 Journal of Multivariate Analysis 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Journal of Symbolic Computation 2 Journal of Complexity 2 Aequationes Mathematicae 2 Pattern Recognition 2 Stochastic Processes and their Applications 2 Journal of Mathematical Imaging and Vision 2 Russian Mathematics 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 Journal of Combinatorial Optimization 2 OR Spectrum 2 Journal of Statistical Mechanics: Theory and Experiment 2 Ars Mathematica Contemporanea 2 Japanese Journal of Mathematics. 3rd Series 1 Modern Physics Letters A 1 Artificial Intelligence 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Inverse Problems ...and 100 more Serials
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#### Cited in 52 Fields

 502 Convex and discrete geometry (52-XX) 206 Combinatorics (05-XX) 193 Operations research, mathematical programming (90-XX) 143 Probability theory and stochastic processes (60-XX) 122 Computer science (68-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Numerical analysis (65-XX) 34 Algebraic topology (55-XX) 30 Number theory (11-XX) 24 Geometry (51-XX) 24 Differential geometry (53-XX) 22 Functional analysis (46-XX) 17 Statistics (62-XX) 16 Algebraic geometry (14-XX) 14 Manifolds and cell complexes (57-XX) 13 Commutative algebra (13-XX) 13 Measure and integration (28-XX) 11 General topology (54-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Group theory and generalizations (20-XX) 7 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Abstract harmonic analysis (43-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX)

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