Edit Profile (opens in new tab) Bárány, Imre Co-Author Distance Author ID: barany.imre Published as: Bárány, Imre; Bárány, I.; Barany, Imre; Barany, I.; Bárányi, I. more...less Homepage: https://users.renyi.hu/~barany/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 197 Publications since 1978, including 1 Book and 5 Additional arXiv Preprints 12 Contributions as Editor · 1 Further Contribution Reviewing Activity: 24 Reviews Co-Authors: 122 Co-Authors with 171 Joint Publications 4,640 Co-Co-Authors all top 5 Co-Authors 39 single-authored 15 Pach, János 14 Pór, Attila 12 Matoušek, Jiří 11 Furedi, Zoltan 6 Rote, Günter 6 Valtr, Pavel 5 Böröczky, Karoly jun. 5 Grinberg, Victor S. 5 Larman, David G. 5 Montejano Peimbert, Luis 5 Scarf, Herbert E. 5 Zamfirescu, Tudor I. 4 Ambrus, Gergely 4 Fejes Tóth, Gábor 4 Fodor, Ferenc 4 Frankl, Péter 4 Kalai, Gil 4 Oliveros, Deborah 4 Reitzner, Matthias 4 Roldán-Pensado, Edgardo 4 Schneider, Rolf G. 4 Steiger, William L. 3 Adiprasito, Karim Alexander 3 Blagojević, Pavle V. M. 3 Howe, Roger Evans 3 Hubard, Alfredo 3 Jerónimo-Castro, Jesús 3 Károlyi, Gyula 3 Lovász, László 3 Mustafa, Nabil Hassan 3 Onn, Shmuel 3 Solymosi, József 3 Wolsey, Laurence Alexander 2 Buchta, Christian 2 Goaoc, Xavier 2 Hug, Daniel 2 Kantor, Jean-Michel 2 Karasev, Roman N. 2 Katchalski, Meir 2 Kincses, János 2 Maehara, Hiroshi 2 Makai, Endre jun. 2 Martínez-Pérez, Álvaro 2 Meshulam, Roy 2 Robins, Sinai 2 Shallcross, David F. 2 Soberón, Pablo 2 Szűcs, András 2 Tokushige, Norihide 2 van Roy, Tony J. 2 Varga, Dániel 2 Vîlcu, Costin 2 Vũ Hà Văn 1 Akopyan, Arseniy V. 1 Alon, Noga 1 Arocha, Jorge Luis 1 Bajmoczy, E. G. 1 Balog, Antal 1 Beardon, Alan Frank 1 Böröczky, Karoly 1 Bracho, Javier 1 Bunting, H. 1 Bureaux, Julien 1 Carne, Thomas Keith 1 Csóka, Endre 1 Dalla, Leoni 1 Dillon, Travis 1 Dimitrijević Blagojević, Aleksandra S. 1 Doerr, Benjamin 1 Dolbilin, Nikolaĭ Petrovich 1 Domokos, Gábor 1 Edmonds, Jack R. 1 Enriquez, Nathanaël 1 Fabila-Monroy, Ruy 1 Fabila, Ruy 1 Fary, Istvan 1 Fiala, Tibor 1 Fradelizi, Matthieu 1 Fukuda, Komei 1 Ginzburg, Boris D. 1 Goodman, Jacob Eli 1 Guy, Richard Kenneth 1 Harcos, Gergely 1 Heppes, Aladár 1 Holmsen, Andreas F. 1 Itoh, Jin-ichi 1 Katona, Gyula O. H. 1 Kleitman, Daniel J. 1 Kuperberg, Krystyna Maria 1 Kuperberg, Wlodzimierz 1 Laczkovich, Miklós 1 Lee, Jon 1 Lehel, Jeno 1 Linderholm, Carl E. 1 Lund, Ben D. 1 Marckert, Jean-François 1 Martin, Greg 1 Naslund, Eric 1 Nevo, Eran 1 Pálvölgyi, Dömötör ...and 27 more Co-Authors all top 5 Serials 32 Discrete & Computational Geometry 8 Advances in Mathematics 6 Combinatorica 6 Computational Geometry 6 Linear Algebra and its Applications 5 Discrete Mathematics 5 Mathematika 5 Acta Mathematica Hungarica 5 Bolyai Society Mathematical Studies 4 The Annals of Probability 4 Mathematics of Operations Research 4 Studia Scientiarum Mathematicarum Hungarica 4 Random Structures & Algorithms 3 Israel Journal of Mathematics 3 Periodica Mathematica Hungarica 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 European Journal of Combinatorics 3 SIAM Journal on Discrete Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Oberwolfach Reports 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 American Mathematical Monthly 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 Journal für die Reine und Angewandte Mathematik 2 Mathematical Programming. Series A. Series B 2 Combinatorics, Probability and Computing 2 Documenta Mathematica 2 Journal of the European Mathematical Society (JEMS) 1 Advances in Applied Probability 1 Acta Scientiarum Mathematicarum 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Information and Control 1 International Journal of Game Theory 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Management Science 1 Mathematical Programming Study 1 Mathematical Programming 1 Mathematica Slovaca 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 Advances in Geometry 1 Proceedings of the Steklov Institute of Mathematics 1 University Lecture Series 1 Journal of Computational Geometry 1 Springer Proceedings in Mathematics & Statistics 1 Libertas Mathematica. New Series 1 Bulletin of the Hellenic Mathematical Society 1 Annales Henri Lebesgue all top 5 Fields 168 Convex and discrete geometry (52-XX) 33 Combinatorics (05-XX) 31 Probability theory and stochastic processes (60-XX) 21 Number theory (11-XX) 17 Operations research, mathematical programming (90-XX) 12 General and overarching topics; collections (00-XX) 10 Computer science (68-XX) 9 Geometry (51-XX) 8 History and biography (01-XX) 7 General topology (54-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Differential geometry (53-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 Operator theory (47-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 162 Publications have been cited 2,184 times in 1,381 Documents Cited by ▼ Year ▼ A generalization of Caratheodory’s theorem. Zbl 0492.52005 Barany, Imre 143 1982 Strong formulations for multi-item capacitated lot sizing. Zbl 0601.90037 Barany, Imre; van Roy, Tony J.; Wolsey, Laurence A. 86 1984 Convex bodies, economic cap coverings, random polytopes. Zbl 0674.52003 Bárány, I.; Larman, D. G. 76 1988 Uncapacitated lot-sizing: The convex hull of solutions. Zbl 0551.90068 Barany, Imre; van Roy, Tony; Wolsey, Laurence A. 69 1984 On a topological generalization of a theorem of Tverberg. Zbl 0453.55003 Barany, I.; Shlosman, S. B.; Szűcs, András 67 1981 A short proof of Kneser’s conjecture. Zbl 0404.05028 Barany, I. 61 1978 Point selections and weak \(\varepsilon\)-nets for convex hulls. Zbl 0797.52004 Alon, Noga; Bárány, Imre; Füredi, Zoltán; Kleitman, Daniel J. 54 1992 Computing the volume is difficult. Zbl 0628.68041 Bárány, Imre; Füredi, Zoltán 50 1987 Fair distribution protocols or how the players replace fortune. Zbl 0764.90094 Bárány, Imre 43 1992 On the number of halving planes. Zbl 0718.52009 Bárány, I.; Füredi, Z.; Lovász, László 39 1990 Planar point sets with a small number of empty convex polygons. Zbl 1075.52008 Bárány, I.; Valtr, P. 38 2004 A colored version of Tverberg’s theorem. Zbl 0769.52008 Bárány, I.; Larman, D. G. 35 1992 Empty simplices in Euclidean space. Zbl 0639.52006 Bárány, Imre; Füredi, Zoltán 35 1987 Intrinsic volumes and f-vectors of random polytopes. Zbl 0696.52005 Bárány, Imre 35 1989 Random polytopes, convex bodies, and approximation. Zbl 1123.60006 Bárány, Imre 35 2007 A positive fraction Erdős-Szekeres theorem. Zbl 0914.52007 Bárány, I.; Valtr, P. 34 1998 Tverberg’s theorem is 50 years old: a survey. Zbl 1401.52012 Bárány, Imre; Soberón, Pablo 33 2018 Quantitative Helly-type theorems. Zbl 0511.52005 Barany, Imre; Katchalski, Meir; Pach, Janos 33 1982 Random polytopes in smooth convex bodies. Zbl 0765.52009 Bárány, Imre 33 1992 Simultaneous partitions of measures by \(k\)-fans. Zbl 0989.52009 Bárány, I.; Matoušek, J. 32 2001 Approximation of the sphere by polytopes having few vertices. Zbl 0669.52003 Bárány, I.; Füredi, Z. 32 1988 Very colorful theorems. Zbl 1173.52002 Arocha, Jorge L.; Bárány, Imre; Bracho, Javier; Fabila, Ruy; Montejano, Luis 30 2009 Random points and lattice points in convex bodies. Zbl 1144.52004 Bárány, Imre 28 2008 Colourful linear programming and its relatives. Zbl 0887.90111 Bárány, Imre; Onn, Shmuel 28 1997 Central limit theorems for Gaussian polytopes. Zbl 1124.60014 Bárány, Imre; Vu, Van 28 2007 On a common generalization of Borsuk’s and Radon’s theorem. Zbl 0446.52010 Bajmoczy, E. G.; Barany, I. 27 1979 On the variance of random polytopes. Zbl 1204.52007 Bárány, Imre; Reitzner, Matthias 26 2010 Random points in halfspheres. Zbl 1362.52002 Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 26 2017 Random polytopes in a convex polytope, independence of shape, and concentration of vertices. Zbl 0788.52003 Bárány, Imre; Buchta, Christian 26 1993 On some combinatorial questions in finite-dimensional spaces. Zbl 0467.90079 Barany, I.; Grinberg, V. S. 26 1981 Problems and results around the Erdős-Szekeres convex polygon theorem. Zbl 0998.52004 Bárány, Imre; Károlyi, Gyula 25 2001 Strictly convex drawings of planar graphs. Zbl 1108.05065 Bárány, Imre; Rote, Günter 23 2006 The convex hull of the integer points in a large ball. Zbl 0927.52020 Bárány, Imre; Larman, David G. 23 1998 On the number of convex lattice polytopes. Zbl 0772.52010 Bárány, I.; Vershik, A. M. 23 1992 Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022 Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M. 22 2016 Nearly optimum solution of multi-machine scheduling problems. Zbl 0506.90036 Barany, Imre; Fiala, Tibor 22 1982 Poisson polytopes. Zbl 1204.60018 Bárány, Imre; Reitzner, Matthias 21 2010 The limit shape of convex lattice polygons. Zbl 0824.52001 Bárány, I. 20 1995 Packing and covering a tree by subtrees. Zbl 0642.05042 Bárány, I.; Edmonds, J.; Wolsey, L. A. 20 1986 On the power of linear dependencies. Zbl 1160.15001 Bárány, Imre 19 2008 On 0-1 polytopes with many facets. Zbl 0988.52014 Bárány, Imre; Pór, Attila 19 2001 Intrinsic volumes of inscribed random polytopes in smooth convex bodies. Zbl 1211.52005 Bárány, I.; Fodor, F.; Vígh, V. 18 2010 Sylvester’s question: The probability that \(n\) points are in convex position. Zbl 0959.60006 Bárány, Imre 17 1999 Helly’s theorem with volumes. Zbl 0546.52005 Bárány, I.; Katchalski, M.; Pach, János 17 1984 Nash equilibria in random games. Zbl 1130.91312 Bárány, Imre; Vempala, Santosh; Vetta, Adrian 16 2007 Borsuk’s theorem and the number of facets of centrally symmetric polytopes. Zbl 0514.52003 Barany, I.; Lovász, László 16 1982 Equipartitioning by a convex 3-fan. Zbl 1190.52001 Bárány, Imre; Blagojević, Pavle; Szűcs, András 15 2010 On the convex hull of the integer points in a disc. Zbl 0746.52017 Balog, Antal; Bárány, Imre 15 1991 A fractional Helly theorem for convex lattice sets. Zbl 1028.52003 Bárány, Imre; Matoušek, Jiří 14 2003 Affine perimeter and limit shape. Zbl 0864.52010 Bárány, Imre 14 1997 On the number of convex lattice polygons. Zbl 0798.52012 Bárány, Imre; Pach, János 14 1992 Equipartition of two measures by a 4-fan. Zbl 1002.60006 Bárány, I.; Matoušek, J. 13 2002 On the minimal ring containing the boundary of a convex body. Zbl 0652.52005 Bárány, Imre 13 1988 A vector-sum theorem and its application to improving flow shop guarantees. Zbl 0489.90051 Barany, Imre 13 1981 Slicing convex sets and measures by a hyperplane. Zbl 1142.52004 Bárány, Imre; Hubard, Alfredo; Jerónimo, Jesús 13 2008 The minimum area of convex lattice \(n\)-gons. Zbl 1068.52022 Bárány, Imre; Tokushige, Norihide 12 2004 Few points to generate a random polytope. Zbl 0902.52002 Bárány, Imre; Dalla, Leoni 12 1997 Colourful and fractional \((p,q)\)-theorems. Zbl 1298.52010 Bárány, I.; Fodor, F.; Montejano, L.; Oliveros, D.; Pór, A. 11 2014 A note on Sylvester’s four-point problem. Zbl 1002.60008 Bárány, I. 11 2001 Covering with Euclidean boxes. Zbl 0623.05041 Bárány, Imre; Lehel, Jenö 11 1987 A combinatorial result about points and balls in Euclidean space. Zbl 0673.52009 Bárány, I.; Schmerl, J. H.; Sidney, S. J.; Urrutia, J. 11 1989 Covering lattice points by subspaces. Zbl 1062.11043 Bárány, Imre; Harcos, Gergely; Pach, János; Tardos, Gábor 9 2001 On integer points in polyhedra: A lower bound. Zbl 0754.52005 Bárány, Imre; Howe, Roger; Lovász, László 9 1992 Extremal problems for convex lattice polytopes: a survey. Zbl 1154.52008 Bárány, Imre 9 2008 Helly-type problems. Zbl 1503.52009 Bárány, Imre; Kalai, Gil 9 2022 Gershgorin disks for multiple eigenvalues of non-negative matrices. Zbl 1385.15002 Bárány, Imre; Solymosi, József 8 2017 Maximal volume enclosed by plates and proof of the chessboard conjecture. Zbl 0611.52012 Böröczky, K.; Bárány, I.; Makai, E. jun.; Pach, J. 8 1986 Carathéodory’s theorem, colourful and applicable. Zbl 0883.52004 Bárány, I.; Onn, S. 8 1997 On the shape of the convex hull of random points. Zbl 0639.60015 Bárány, Imre; Füredi, Zoltán 8 1988 Quadratically many colorful simplices. Zbl 1134.52003 Bárány, Imre; Matoušek, Jiří 8 2007 On the number of lattice free polytopes. Zbl 0954.52015 Bárány, Imre; Kantor, Jean-Michel 7 2000 Matrices with identical sets of neighbors. Zbl 0977.90023 Bárány, Imre; Scarf, Herbert 7 1998 Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006 Bárány, I.; Beardon, A. F.; Carne, T. K. 7 1996 Diameters in typical convex bodies. Zbl 0715.52002 Bárány, Imre; Zamfirescu, Tudor 7 1990 Notes about the Carathéodory number. Zbl 1258.52004 Bárány, Imre; Karasev, Roman 6 2012 A central limit theorem for convex chains in the square. Zbl 0954.52008 Bárány, I.; Rote, G.; Steiger, W.; Zhang, C.-H. 6 2000 The technique of \(M\)-regions and cap coverings: A survey. Zbl 0986.52001 Bárány, Imre 6 2000 Theorems of Carathéodory, Helly, and Tverberg without dimension. Zbl 1432.52013 Adiprasito, Karim; Bárány, Imre; Mustafa, Nabil H. 6 2019 Geometric and combinatorial applications of Borsuk’s theorem. Zbl 0788.52012 Bárány, Imre 6 1993 The complex of maximal lattice free simplices. Zbl 0822.90104 Bárány, Imre; Howe, Roger; Scarf, Herbert E. 6 1994 Borsuk’s theorem through complementary pivoting. Zbl 0445.90102 Barany, Imre 6 1980 On a class of balancing games. Zbl 0405.90086 Barany, I. 5 1979 Many empty triangles have a common edge. Zbl 1279.52009 Bárány, Imre; Marckert, Jean-François; Reitzner, Matthias 5 2013 Longest convex chains. Zbl 1206.52009 Ambrus, Gergely; Bárány, Imre 5 2009 Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw. Zbl 1385.60021 Bárány, Imre; Thäle, Christoph 5 2017 An extension of the Erdős-Szekeres theorem on large angles. Zbl 0655.51007 Bárányi, I. 5 1987 Balanced partitions of vector sequences. Zbl 1091.15030 Bárány, Imre; Doerr, Benjamin 5 2006 Discrete convex functions and proof of the six circle conjecture of Fejes Toth. Zbl 0507.52001 Bárány, Imre; Füredi, Zoltán; Pach, János 5 1984 On maximal convex lattice polygons inscribed in a plane convex set. Zbl 1144.52007 Bárány, Imre; Prodromou, Maria 5 2006 Paths with no small angles. Zbl 1204.52018 Bárány, Imre; Pór, Attila; Valtr, Pavel 4 2009 Circles holding typical convex bodies. Zbl 1308.52002 Bárány, Imre; Zamfirescu, Tudor 4 2013 Berge’s theorem, fractional Helly, and art galleries. Zbl 1103.52003 Bárány, Imre; Matoušek, Jiří 4 2006 Every point is critical. Zbl 1273.53061 Bárány, Imre; Itoh, Jin-Ichi; Vîlcu, Costin; Zamfirescu, Tudor 4 2013 Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame. Zbl 1242.52003 Bárány, Imre; Maehara, Hiroshi; Tokushige, Norihide 4 2012 Geometry – intuitive, discrete, and convex. A tribute to László Fejes Tóth. Zbl 1282.05006 4 2013 Homogeneous selections from hyperplanes. Zbl 1282.05170 Bárány, Imre; Pach, János 4 2014 On the lattice diameter of a convex polygon. Zbl 0999.52011 Bárány, Imre; Füredi, Zoltán 4 2001 The randomized integer convex hull. Zbl 1078.52005 Bárány, Imre; Matoušek, Jirí 4 2005 Classification of two-person ordinal bimatrix games. Zbl 0762.90092 Bárány, I.; Lee, J.; Shubik, M. 4 1992 Tensors, colours, octahedra. Zbl 1352.52007 Bárány, Imre 4 2015 Erdős-Szekeres theorem for \(k\)-flats. Zbl 1516.52013 Bárány, Imre; Kalai, Gil; Pór, Attila 2 2023 Cells in the box and a hyperplane. Zbl 1519.52008 Bárány, Imre; Frankl, Péter 1 2023 Helly-type problems. Zbl 1503.52009 Bárány, Imre; Kalai, Gil 9 2022 Orientation preserving maps of the square grid. Zbl 07610225 Bárány, Imre; Pór, Attila; Valtr, Pavel 1 2022 How (not) to cut your cheese. Zbl 1475.52020 Bárány, Imre; Frankl, Péter 4 2021 Combinatorial convexity. Zbl 1528.52001 Bárány, Imre 3 2021 Pairwise intersecting convex sets and cylinders in \(\mathbb{R}^3\). Zbl 1513.52010 Bárány, Imre 1 2021 Theorems of Carathéodory, Helly, and Tverberg without dimension. Zbl 1452.52006 Adiprasito, Karim; Bárány, Imre; Mustafa, Nabil H.; Terpai, Tamás 3 2020 Random polytopes and the wet part for arbitrary probability distributions. (Polytopes aléatoires et partiesimmergées de mesures deprobabilités arbitraires.) Zbl 1454.52006 Bárány, Imre; Fradelizi, Matthieu; Goaoc, Xavier; Hubard, Alfredo; Rote, Günter 2 2020 Primitive points in rational polygons. Zbl 1462.11053 Bárány, Imre; Martin, Greg; Naslund, Eric; Robins, Sinai 2 2020 Theorems of Carathéodory, Helly, and Tverberg without dimension. Zbl 1432.52013 Adiprasito, Karim; Bárány, Imre; Mustafa, Nabil H. 6 2019 Almost similar configurations. Zbl 1430.51031 Bárány, Imre; Füredi, Zoltán 1 2019 Tverberg’s theorem is 50 years old: a survey. Zbl 1401.52012 Bárány, Imre; Soberón, Pablo 33 2018 Tverberg plus minus. Zbl 1401.52014 Bárány, Imre; Soberón, Pablo 4 2018 Pach’s selection theorem does not admit a topological extension. Zbl 1401.52011 Bárány, Imre; Meshulam, Roy; Nevo, Eran; Tancer, Martin 2 2018 New trends in intuitive geometry. Zbl 1411.52002 2 2018 Random points in halfspheres. Zbl 1362.52002 Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 26 2017 Gershgorin disks for multiple eigenvalues of non-negative matrices. Zbl 1385.15002 Bárány, Imre; Solymosi, József 8 2017 Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw. Zbl 1385.60021 Bárány, Imre; Thäle, Christoph 5 2017 Algebraic vertices of non-convex polyhedra. Zbl 1364.52011 Akopyan, Arseniy; Bárány, Imre; Robins, Sinai 4 2017 A Tverberg type theorem for matroids. Zbl 1387.05036 Bárány, Imre; Kalai, Gil; Meshulam, Roy 3 2017 Helge Tverberg is eighty: a personal tribute. Zbl 1372.01024 Bárány, Imre 1 2017 Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022 Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M. 22 2016 Small subset sums. Zbl 1337.52006 Ambrus, Gergely; Bárány, Imre; Grinberg, Victor 4 2016 Affine diameters of convex bodies. Zbl 1335.52006 Bárány, Imre; Hug, Daniel; Schneider, Rolf 4 2016 Curves in \(\mathbb R^d\) intersecting every hyperplane at most \(d+1\) times. Zbl 1351.05219 Bárány, Imre; Matoušek, Jiří; Pór, Attila 2 2016 Tensors, colours, octahedra. Zbl 1352.52007 Bárány, Imre 4 2015 Block partitions of sequences. Zbl 1315.26017 Bárány, Imre; Grinberg, Victor S. 4 2015 Helly type theorems for the sum of vectors in a normed plane. Zbl 1312.52006 Bárány, Imre; Jerónimo-Castro, Jesús 3 2015 Topology of geometric joins. Zbl 1408.52002 Bárány, Imre; Holmsen, Andreas F.; Karasev, Roman 2 2015 Erdős-Szekeres theorem for lines. Zbl 1326.52015 Bárány, Imre; Roldán-Pensado, Edgardo; Tóth, Géza 2 2015 A fractional Helly theorem for boxes. Zbl 1305.52014 Bárány, I.; Fodor, F.; Martínez-Pérez, A.; Montejano, L.; Oliveros, D.; Pór, A. 2 2015 Typical curvature behaviour of bodies of constant width. Zbl 1310.52002 Bárány, Imre; Schneider, Rolf 1 2015 Colourful and fractional \((p,q)\)-theorems. Zbl 1298.52010 Bárány, I.; Fodor, F.; Montejano, L.; Oliveros, D.; Pór, A. 11 2014 Homogeneous selections from hyperplanes. Zbl 1282.05170 Bárány, Imre; Pach, János 4 2014 Curves in \(\mathbb{R}^d\) intersecting every hyperplane at most \(d+1\) times. Zbl 1395.05178 Bárány, Imre; Matoušek, Jiří; Pór, Attila 3 2014 Universal points of convex bodies and bisectors in Minkowski spaces. Zbl 1294.52002 Bárány, Imre; Schneider, Rolf 2 2014 Volumes of convex lattice polytopes and a question of V. I. Arnold. Zbl 1340.52021 Bárány, I.; Yuan, L. 1 2014 Many empty triangles have a common edge. Zbl 1279.52009 Bárány, Imre; Marckert, Jean-François; Reitzner, Matthias 5 2013 Circles holding typical convex bodies. Zbl 1308.52002 Bárány, Imre; Zamfirescu, Tudor 4 2013 Every point is critical. Zbl 1273.53061 Bárány, Imre; Itoh, Jin-Ichi; Vîlcu, Costin; Zamfirescu, Tudor 4 2013 Geometry – intuitive, discrete, and convex. A tribute to László Fejes Tóth. Zbl 1282.05006 4 2013 On the variance of random polygons. Zbl 1257.52003 Bárány, Imre; Steiger, William 3 2013 Holding circles and fixing frames. Zbl 1283.52002 Bárány, Imre; Zamfirescu, Tudor 3 2013 Functions, measures, and equipartitioning convex \(k\)-fans. Zbl 1263.60007 Bárány, Imre; Blagojević, Pavle; Dimitrijević Blagojević, Aleksandra 2 2013 2013 unit vectors in the plane. Zbl 1279.05009 Bárány, Imre; Ginzburg, Boris D.; Grinberg, Victor S. 1 2013 Notes about the Carathéodory number. Zbl 1258.52004 Bárány, Imre; Karasev, Roman 6 2012 Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame. Zbl 1242.52003 Bárány, Imre; Maehara, Hiroshi; Tokushige, Norihide 4 2012 Jarník’s convex lattice \(n\)-gon for non-symmetric norms. Zbl 1243.52013 Bárány, Imre; Enriquez, Nathanaël 1 2012 Discrete geometry. Abstracts from the workshop held September 4–10, 2011. Zbl 1349.00224 1 2011 On the variance of random polytopes. Zbl 1204.52007 Bárány, Imre; Reitzner, Matthias 26 2010 Poisson polytopes. Zbl 1204.60018 Bárány, Imre; Reitzner, Matthias 21 2010 Intrinsic volumes of inscribed random polytopes in smooth convex bodies. Zbl 1211.52005 Bárány, I.; Fodor, F.; Vígh, V. 18 2010 Equipartitioning by a convex 3-fan. Zbl 1190.52001 Bárány, Imre; Blagojević, Pavle; Szűcs, András 15 2010 An irregular mind. Szemerédi is 70. Dedicated to Endre Szemerédi on the occasion of his seventieth birthday. Zbl 1196.00042 1 2010 Very colorful theorems. Zbl 1173.52002 Arocha, Jorge L.; Bárány, Imre; Bracho, Javier; Fabila, Ruy; Montejano, Luis 30 2009 Longest convex chains. Zbl 1206.52009 Ambrus, Gergely; Bárány, Imre 5 2009 Paths with no small angles. Zbl 1204.52018 Bárány, Imre; Pór, Attila; Valtr, Pavel 4 2009 Slicing convex sets and measures by a hyperplane. Zbl 1184.52003 Bárány, Imre; Hubard, Alfredo; Jerónimo, Jesús 1 2009 Random points and lattice points in convex bodies. Zbl 1144.52004 Bárány, Imre 28 2008 On the power of linear dependencies. Zbl 1160.15001 Bárány, Imre 19 2008 Slicing convex sets and measures by a hyperplane. Zbl 1142.52004 Bárány, Imre; Hubard, Alfredo; Jerónimo, Jesús 13 2008 Extremal problems for convex lattice polytopes: a survey. Zbl 1154.52008 Bárány, Imre 9 2008 Paths with no small angles. Zbl 1136.68548 Bárány, Imre; Pór, Attila; Valtr, Pavel 2 2008 Random polytopes, convex bodies, and approximation. Zbl 1123.60006 Bárány, Imre 35 2007 Central limit theorems for Gaussian polytopes. Zbl 1124.60014 Bárány, Imre; Vu, Van 28 2007 Nash equilibria in random games. Zbl 1130.91312 Bárány, Imre; Vempala, Santosh; Vetta, Adrian 16 2007 Quadratically many colorful simplices. Zbl 1134.52003 Bárány, Imre; Matoušek, Jiří 8 2007 The chance that a convex body is lattice-point free: a relative of Buffon’s needle problem. Zbl 1141.52020 Bárány, Imre 2 2007 Strictly convex drawings of planar graphs. Zbl 1108.05065 Bárány, Imre; Rote, Günter 23 2006 Balanced partitions of vector sequences. Zbl 1091.15030 Bárány, Imre; Doerr, Benjamin 5 2006 On maximal convex lattice polygons inscribed in a plane convex set. Zbl 1144.52007 Bárány, Imre; Prodromou, Maria 5 2006 Berge’s theorem, fractional Helly, and art galleries. Zbl 1103.52003 Bárány, Imre; Matoušek, Jiří 4 2006 Discrete and convex geometry. Zbl 1114.52001 Bárány, Imre 1 2006 The randomized integer convex hull. Zbl 1078.52005 Bárány, Imre; Matoušek, Jirí 4 2005 A case when the union of polytopes is convex. Zbl 1072.52007 Bárány, Imre; Fukuda, Komei 2 2005 A note on the size of the largest ball inside a convex polytope. Zbl 1100.52003 Bárány, Imre; Simányi, Nándor 1 2005 Applications of graph and hypergraph theory in geometry. Zbl 1090.05066 Bárány, Imre 1 2005 Planar point sets with a small number of empty convex polygons. Zbl 1075.52008 Bárány, I.; Valtr, P. 38 2004 The minimum area of convex lattice \(n\)-gons. Zbl 1068.52022 Bárány, Imre; Tokushige, Norihide 12 2004 A fractional Helly theorem for convex lattice sets. Zbl 1028.52003 Bárány, Imre; Matoušek, Jiří 14 2003 Total curvature and spiralling shortest paths. Zbl 1043.52004 Bárány, Imre; Kuperberg, Krystyna; Zamfirescu, Tudor 1 2003 Equipartition of two measures by a 4-fan. Zbl 1002.60006 Bárány, I.; Matoušek, J. 13 2002 Random points, convex bodies, lattices. Zbl 1010.52007 Bárány, Imre 2 2002 Simultaneous partitions of measures by \(k\)-fans. Zbl 0989.52009 Bárány, I.; Matoušek, J. 32 2001 Problems and results around the Erdős-Szekeres convex polygon theorem. Zbl 0998.52004 Bárány, Imre; Károlyi, Gyula 25 2001 On 0-1 polytopes with many facets. Zbl 0988.52014 Bárány, Imre; Pór, Attila 19 2001 A note on Sylvester’s four-point problem. Zbl 1002.60008 Bárány, I. 11 2001 Covering lattice points by subspaces. Zbl 1062.11043 Bárány, Imre; Harcos, Gergely; Pach, János; Tardos, Gábor 9 2001 On the lattice diameter of a convex polygon. Zbl 0999.52011 Bárány, Imre; Füredi, Zoltán 4 2001 On the number of lattice free polytopes. Zbl 0954.52015 Bárány, Imre; Kantor, Jean-Michel 7 2000 A central limit theorem for convex chains in the square. Zbl 0954.52008 Bárány, I.; Rote, G.; Steiger, W.; Zhang, C.-H. 6 2000 The technique of \(M\)-regions and cap coverings: A survey. Zbl 0986.52001 Bárány, Imre 6 2000 Sylvester’s question: The probability that \(n\) points are in convex position. Zbl 0959.60006 Bárány, Imre 17 1999 Universal counting of lattice points in polytopes. Zbl 0954.52014 Bárány, Imre; Kantor, Jean-Michel 1 1999 A positive fraction Erdős-Szekeres theorem. Zbl 0914.52007 Bárány, I.; Valtr, P. 34 1998 The convex hull of the integer points in a large ball. Zbl 0927.52020 Bárány, Imre; Larman, David G. 23 1998 Matrices with identical sets of neighbors. Zbl 0977.90023 Bárány, Imre; Scarf, Herbert 7 1998 The topological structure of maximal lattice free convex bodies: The general case. Zbl 0894.90176 Bárány, I.; Scarf, H. E.; Shallcross, D. 2 1998 Colourful linear programming and its relatives. Zbl 0887.90111 Bárány, Imre; Onn, Shmuel 28 1997 ...and 62 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,674 Authors 74 Bárány, Imre 31 Thäle, Christoph 25 Reitzner, Matthias 23 Soberón, Pablo 23 Werner, Elisabeth M. 21 Valtr, Pavel 20 Wolsey, Laurence Alexander 18 Kabluchko, Zakhar A. 18 Karasev, Roman N. 16 Hug, Daniel 15 Blagojević, Pavle V. M. 15 Živaljević, Rade T. 14 Huemer, Clemens 14 Matoušek, Jiří 14 Pach, János 14 Vogtenhuber, Birgit 14 Ziegler, Günter Matthias 13 De Loera, Jesús A. 13 Fodor, Ferenc 13 Holmsen, Andreas F. 13 Mustafa, Nabil Hassan 13 Schütt, Carsten 13 Urrutia Galicia, Jorge L. 12 Aichholzer, Oswin 12 Fabila-Monroy, Ruy 10 Hackl, Thomas 10 Kalai, Gil 10 Prochno, Joscha 10 Roldán-Pensado, Edgardo 9 Akartunalı, Kerem 9 Alon, Noga 9 Balko, Martin 9 Böröczky, Karoly jun. 9 Hubard, Alfredo 9 Scheucher, Manfred 9 Schneider, Rolf G. 8 Besau, Florian 8 Bukh, Boris 8 Calka, Pierre 8 Frick, Florian 8 Grote, Julian 8 Kupavskii, Andrey 8 Montejano Peimbert, Luis 8 Naszódi, Márton 8 Vígh, Viktor 8 Vrećica, Siniša T. 8 Wu, Tao 7 Bereg, Sergey N. 7 Deza, Antoine 7 Edelsbrunner, Herbert 7 Furedi, Zoltan 7 Goaoc, Xavier 7 Har-Peled, Sariel 7 Hurtado, Ferran 7 Károlyi, Gyula 7 Kim, Minki 7 Nivasch, Gabriel 7 Pór, Attila 7 Ray, Saurabh 7 Sharir, Micha 7 Smorodinsky, Shakhar 7 Tardos, Gábor 7 Temesvari, Daniel 7 Wagner, Uli 7 Zamfirescu, Tudor I. 6 Alonso-Gutiérrez, David 6 Ambrus, Gergely 6 Brunel, Victor-Emmanuel 6 Forges, Françoise 6 Giannopoulos, Apostolos A. 6 González Merino, Bernardo 6 Guan, Yongpei 6 Litvak, Aleksandr Evgen’evich 6 Magnanti, Thomas L. 6 Meshulam, Roy 6 Miller, Andrew J. 6 Oliveros, Deborah 6 Rote, Günter 6 Seara, Carlos 6 Steiger, William L. 6 Stephen, Tamon 6 Tancer, Martin 6 Turchi, Nicola 6 Vempala, Santosh S. 6 Vũ Hà Văn 6 Yukich, Joseph Elliott 5 Ando, Ei 5 Bansal, Nikhil 5 Buchta, Christian 5 Dumitrescu, Adrian 5 Felsner, Stefan 5 Frankl, Péter 5 Ivanov, Grigory M. 5 Jans, Raf 5 Keller, Chaya 5 Kyncl, Jan 5 Lovász, László 5 Ludwig, Monika 5 Maehara, Hiroshi 5 Martinez-Sandoval, Leonardo ...and 1,574 more Authors all top 5 Cited in 267 Serials 161 Discrete & Computational Geometry 46 Computational Geometry 46 European Journal of Operational Research 40 Discrete Mathematics 39 Journal of Combinatorial Theory. Series A 37 Advances in Mathematics 32 Israel Journal of Mathematics 28 Discrete Applied Mathematics 26 Mathematika 22 Proceedings of the American Mathematical Society 22 Mathematical Programming. Series A. Series B 21 Computers & Operations Research 20 European Journal of Combinatorics 20 Combinatorica 19 Graphs and Combinatorics 18 Operations Research Letters 16 Transactions of the American Mathematical Society 16 SIAM Journal on Discrete Mathematics 14 SIAM Journal on Computing 14 Annals of Operations Research 14 Random Structures & Algorithms 13 Theoretical Computer Science 13 Games and Economic Behavior 12 Journal of Economic Theory 12 Probability Theory and Related Fields 12 Algorithmica 11 Advances in Applied Mathematics 11 The Electronic Journal of Combinatorics 10 Periodica Mathematica Hungarica 10 The Annals of Probability 10 Journal of Combinatorial Theory. 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New Series 9 Combinatorics, Probability and Computing 8 Advances in Applied Probability 8 Topology and its Applications 8 Acta Mathematica Hungarica 7 Information Processing Letters 7 Journal of Mathematical Analysis and Applications 7 Geometriae Dedicata 7 Journal of Geometry 7 Mathematische Annalen 7 Linear Algebra and its Applications 7 Discrete Optimization 6 Mathematical Notes 6 Monatshefte für Mathematik 6 Journal of Global Optimization 6 Journal of Mathematical Sciences (New York) 6 Electronic Journal of Probability 6 Communications in Contemporary Mathematics 5 Journal of Mathematical Economics 5 Bernoulli 5 INFORMS Journal on Computing 5 Journal of Scheduling 5 Advances in Geometry 4 Beiträge zur Algebra und Geometrie 4 International Journal of Game Theory 4 Order 4 Journal of Theoretical Probability 4 Journal of the American Mathematical Society 4 The Journal of Geometric Analysis 4 Geometric and Functional Analysis. GAFA 4 Stochastic Processes and their Applications 4 Journal of Mathematical Imaging and Vision 4 Journal of the European Mathematical Society (JEMS) 4 Oberwolfach Reports 4 Optimization Letters 4 Ars Mathematica Contemporanea 3 Computers & Mathematics with Applications 3 Functional Analysis and its Applications 3 Journal of Applied Probability 3 Journal of Graph Theory 3 Journal of the London Mathematical Society. Second Series 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Mathematical Social Sciences 3 International Journal of Production Research 3 Journal of Symbolic Computation 3 Journal of Complexity 3 International Journal of Computational Geometry & Applications 3 The Annals of Applied Probability 3 Aequationes Mathematicae 3 Documenta Mathematica 3 Annals of Combinatorics 3 Japanese Journal of Mathematics. 3rd Series 3 Theoretical Economics 3 Forum of Mathematics, Sigma 2 Artificial Intelligence 2 International Journal of Mathematical Education in Science and Technology 2 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Journal of Algebra 2 Journal of Approximation Theory 2 Journal of Multivariate Analysis 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik ...and 167 more Serials all top 5 Cited in 53 Fields 724 Convex and discrete geometry (52-XX) 314 Combinatorics (05-XX) 245 Operations research, mathematical programming (90-XX) 219 Computer science (68-XX) 201 Probability theory and stochastic processes (60-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Algebraic topology (55-XX) 51 Numerical analysis (65-XX) 46 Number theory (11-XX) 45 Geometry (51-XX) 31 Functional analysis (46-XX) 31 Differential geometry (53-XX) 27 Statistics (62-XX) 26 Algebraic geometry (14-XX) 23 Manifolds and cell complexes (57-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 17 Measure and integration (28-XX) 16 General topology (54-XX) 15 Commutative algebra (13-XX) 12 Information and communication theory, circuits (94-XX) 10 Real functions (26-XX) 8 Group theory and generalizations (20-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 History and biography (01-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 4 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Field theory and polynomials (12-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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