Edit Profile (opens in new tab) Kalai, Gil Co-Author Distance Author ID: kalai.gil Published as: Kalai, Gil; Kalai, G.; Kalai, Gill more...less Homepage: https://gilkalai.wordpress.com/ External Links: MGP · ORCID · Wikidata · Google Scholar · MathOverflow · Twitter · dblp · GND · IdRef Videos: carmin.tv Documents Indexed: 103 Publications since 1975, including 1 Book and 8 Additional arXiv Preprints 9 Contributions as Editor · 1 Further Contribution Software Indexed: 2 Packages Biographic References: 1 Publication Co-Authors: 58 Co-Authors with 74 Joint Publications 3,178 Co-Co-Authors all top 5 Co-Authors 38 single-authored 8 Alon, Noga 8 Kahn, Jeff D. 7 Friedgut, Ehud 7 Novik, Isabella 6 Björner, Anders 6 Meshulam, Roy 5 Bourgain, Jean 4 Bárány, Imre 3 Benjamini, Itai 3 Keller, Nathan 3 Mossel, Elchanan 3 Nevo, Eran 3 Santos, Francisco 3 Welker, Volkmar 3 Ziegler, Günter Matthias 2 Chudnovsky, Maria 2 Friedland, Shmuel 2 Kindler, Guy 2 Kleinschmidt, Peter 2 Lifshitz, Noam 2 Linial, Nathan 2 Matoušek, Jiří 2 Meisinger, Günter 2 Naor, Assaf 2 Pór, Attila 2 Ricklin, Moty 2 Schramm, Oded 2 Stockmeyer, Larry J. 1 Avni, Nir 1 Barcelo, Hélène 1 Breuer, Jonathan 1 Frankl, Péter 1 Friedman, Greg 1 Furedi, Zoltan 1 Häggström, Olle 1 Katznelson, Yitzhak 1 Klee, Victor LaRue 1 Kleitman, Daniel J. 1 Mansour, Toufik 1 Maschler, Michael Bahir 1 Meir, Reshef 1 Minzer, Dor 1 Mohar, Bojan 1 Narayanan, Bhargav P. 1 Nisan, Noam 1 Owen, Guillermo 1 Patáková, Zuzana 1 Rinott, Yosef 1 Rubinstein, Ariel 1 Safra, Muli 1 Schulman, Leonard J. 1 Seymour, Paul D. 1 Shoham, Tomer 1 Simon, Barry 1 Spiegler, Ran 1 Tennenholtz, Moshe 1 Wigderson, Avi 1 Zeilberger, Doron 1 Ziegler, Tamar all top 5 Serials 9 Discrete & Computational Geometry 8 Israel Journal of Mathematics 8 Journal of Combinatorial Theory. Series A 5 Oberwolfach Reports 4 Advances in Applied Mathematics 3 Journal of Combinatorial Theory. Series B 3 Graphs and Combinatorics 3 Bulletin of the American Mathematical Society. New Series 2 Econometrica 2 European Journal of Combinatorics 2 Notices of the American Mathematical Society 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Acta Mathematica 1 Advances in Mathematics 1 The Annals of Probability 1 Publications Mathématiques 1 International Journal of Game Theory 1 Inventiones Mathematicae 1 Journal of Economic Theory 1 Mathematics of Operations Research 1 Mathematica Scandinavica 1 Mathematika 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Combinatorica 1 Statistical Science 1 SIAM Journal on Discrete Mathematics 1 Geometric and Functional Analysis. GAFA 1 Games and Economic Behavior 1 Mathematical Programming. Series A. Series B 1 Combinatorics, Probability and Computing 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics 1 DMV Seminar 1 Journal of Topology 1 Theory of Computing 1 Mathematics and Mechanics of Complex Systems 1 Pure and Applied Functional Analysis 1 Algebraic Combinatorics 1 Enumerative Combinatorics and Applications all top 5 Fields 46 Combinatorics (05-XX) 42 Convex and discrete geometry (52-XX) 14 Manifolds and cell complexes (57-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Operations research, mathematical programming (90-XX) 12 Computer science (68-XX) 11 General and overarching topics; collections (00-XX) 10 Algebraic topology (55-XX) 9 Probability theory and stochastic processes (60-XX) 8 Commutative algebra (13-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,956 times in 1,394 Documents Cited by ▼ Year ▼ Every monotone graph property has a sharp threshold. Zbl 0864.05078 Friedgut, Ehud; Kalai, Gil 136 1996 Rigidity and the lower bound theorem. I. Zbl 0624.52004 Kalai, Gil 101 1987 Noise sensitivity of Boolean functions and applications to percolation. Zbl 0986.60002 Benjamini, Itai; Kalai, Gil; Schramm, Oded 100 1999 A counterexample to Borsuk’s conjecture. Zbl 0786.52002 Kahn, Jeff; Kalai, Gil 78 1993 Enumeration of \({\mathbb{Q}}\)-acyclic simplicial complexes. Zbl 0535.57011 Kalai, Gil 75 1983 Intersection patterns of convex sets. Zbl 0557.52005 Kalai, Gil 67 1984 Algebraic shifting. Zbl 1034.57021 Kalai, Gil 65 2001 The influence of variables in product spaces. Zbl 0771.60002 Bourgain, Jean; Kahn, Jeff; Kalai, Gil; Katznelson, Yitzhak; Linial, Nathan 62 1992 First passage percolation has sublinear distance variance. Zbl 1087.60070 Benjamini, Itai; Kalai, Gil; Schramm, Oded 61 2003 Rationalizing choice functions by multiple rationales. Zbl 1130.91326 Kalai, Gil; Rubinstein, Ariel; Spiegler, Ran 54 2002 A quasi-polynomial bound for the diameter of graphs of polyhedra. Zbl 0751.52006 Kalai, Gil; Kleitman, Daniel J. 53 1992 An extended Euler-Poincaré theorem. Zbl 0667.52008 Björner, Anders; Kalai, Gil 51 1988 A topological colorful Helly theorem. Zbl 1064.52008 Kalai, Gil; Meshulam, Roy 47 2005 Regular subgraphs of almost regular graphs. Zbl 0527.05059 Alon, N.; Friedland, S.; Kalai, G. 47 1984 Boolean functions whose Fourier transform is concentrated on the first two levels. Zbl 1039.91014 Friedgut, Ehud; Kalai, Gil; Naor, Assaf 45 2002 Thresholds and expectation thresholds. Zbl 1118.05093 Kahn, Jeff; Kalai, Gil 45 2007 Transversal numbers for hypergraphs arising in geometry. Zbl 1027.52003 Alon, Noga; Kalai, Gil; Matoušek, Jiří; Meshulam, Roy 43 2002 Many triangulated spheres. Zbl 0631.52009 Kalai, Gil 39 1988 Shadows of colored complexes. Zbl 0651.05003 Frankl, Peter; Füredi, Zoltán; Kalai, Gil 38 1988 A Fourier-theoretic perspective on the Condorcet paradox and Arrow’s theorem. Zbl 1038.91027 Kalai, Gil 38 2002 A simple way to tell a simple polytope from its graph. Zbl 0673.05087 Kalai, Gil 37 1988 Intersections of Leray complexes and regularity of monomial ideals. Zbl 1105.13026 Kalai, Gil; Meshulam, Roy 36 2006 Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). I: Necessity of Eckhoff’s conditions. Zbl 0572.52006 Kalai, Gil 33 1984 Hyperconnectivity of graphs. Zbl 0609.05051 Kalai, Gil 33 1985 The diameter of graphs of convex polytopes and \(f\)-vector theory. Zbl 0739.52017 Kalai, Gil 32 1991 Influences of variables and threshold intervals under group symmetries. Zbl 0982.20004 Bourgain, J.; Kalai, G. 30 1997 Threshold phenomena and influence: perspectives from mathematics, computer science, and economics. Zbl 1156.82317 Kalai, Gil; Safra, Shmuel 29 2006 Weakly saturated graphs are rigid. Zbl 0576.05018 Kalai, Gil 28 1984 A simple proof of the upper bound theorem. Zbl 0582.52003 Alon, N.; Kalai, G. 24 1985 Some aspects of the combinatorial theory of convex polytopes. Zbl 0804.52006 Kalai, Gil 22 1994 Bounding the piercing number. Zbl 0826.52006 Alon, N.; Kalai, G. 22 1995 A new basis of polytopes. Zbl 0691.05006 Kalai, Gil 19 1988 Linear programming, the simplex algorithm and simple polytopes. Zbl 0887.90116 Kalai, Gil 19 1997 The number of faces of centrally-symmetric polytopes. Zbl 1168.52303 Kalai, Gil 18 1989 Upper bounds for the diameter and height of graphs of convex polyhedra. Zbl 0764.52003 Kalai, Gil 16 1992 Social indeterminacy. Zbl 1141.91373 Kalai, Gil 16 2004 Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). II: Sufficiency of Eckhoff’s conditions. Zbl 0599.52003 Kalai, Gil 15 1986 Leray numbers of projections and a topological Helly-type theorem. Zbl 1148.55014 Kalai, Gil; Meshulam, Roy 13 2008 Learnability and rationality of choice. Zbl 1069.91028 Kalai, Gil 11 2003 Polytope skeletons and paths. Zbl 0910.52005 Kalai, Gil 11 1997 Guarding galleries where every point sees a large area. Zbl 0953.68137 Kalai, Gil; Matoušek, Jiří 11 1997 A quantitative version of the Gibbard-Satterthwaite theorem for three alternatives. Zbl 1229.05264 Friedgut, Ehud; Kalai, Gil; Keller, Nathan; Nisan, Noam 11 2011 Every 4-regular graph plus an edge contains a 3-regular subgraph. Zbl 0546.05054 Alon, N.; Friedland, S.; Kalai, G. 10 1984 On \(f\)-vectors and homology. Zbl 0747.52001 Björner, Anders; Kalai, Gil 10 1989 Lower bounds on the competitive ratio for mobile user tracking and distributed job scheduling. Zbl 0834.68042 Alon, Noga; Kalai, Gil; Ricklin, Moty; Stockmeyer, Larry 10 1994 Bipartite rigidity. Zbl 1332.05040 Kalai, Gil; Nevo, Eran; Novik, Isabella 10 2016 Helly-type problems. Zbl 1503.52009 Bárány, Imre; Kalai, Gil 9 2022 On low-dimensional faces that high-dimensional polytopes must have. Zbl 0721.52008 Kalai, G. 9 1990 On the distance distribution of codes. Zbl 0831.94019 Kalai, Gil; Linial, Nathan 9 1995 f-vectors of acyclic complexes. Zbl 0579.57015 Kalai, Gil 8 1985 Asymptotic stability and other properties of trajectories and transfer sequences leading to the bargaining sets. Zbl 0395.90100 Kalai, G.; Maschler, M.; Owen, G. 8 1975 Bidding games and efficient allocations. Zbl 1419.91072 Meir, Reshef; Kalai, Gil; Tennenholtz, Moshe 8 2018 Some old and new problems in combinatorial geometry. I: Around Borsuk’s problem. Zbl 1361.51008 Kalai, Gil 8 2015 Polytopes - combinatorics and computation. DMV-seminar Oberwolfach, Germany, November 1997. Zbl 0944.00089 7 2000 Bipartite minors. Zbl 1327.05315 Chudnovsky, Maria; Kalai, Gil; Nevo, Eran; Novik, Isabella; Seymour, Paul 7 2016 The quantum computer puzzle. Zbl 1354.81009 Kalai, Gil 7 2016 Combinatorics with a geometric flavor. Zbl 0989.05001 Kalai, Gil 6 2000 A new approach to Turán’s conjecture. Zbl 0579.05003 Kalai, Gil 5 1985 Extended Euler-Poincaré relations for cell complexes. Zbl 0733.55002 Björner, Anders; Kalai, Gil 5 1991 Neighborly embedded manifolds. Zbl 1153.53303 Kalai, G.; Wigderson, A. 5 2008 Boolean functions: influence, threshold and noise. Zbl 1485.94174 Kalai, Gil 5 2018 Combinatorics and convexity. Zbl 0843.52002 Kalai, Gil 4 1995 On the correlation of increasing families. Zbl 1343.05034 Kalai, Gil; Keller, Nathan; Mossel, Elchanan 4 2016 A law of large numbers for weighted majority. Zbl 1142.60006 Häggström, Olle; Kalai, Gil; Mossel, Elchanan 4 2006 On symmetric intersecting families. Zbl 1437.05229 Ellis, David; Kalai, Gil; Narayanan, Bhargav 4 2020 Noise sensitivity and chaos in social choice theory. Zbl 1206.91033 Kalai, Gil 3 2010 A Tverberg type theorem for matroids. Zbl 1387.05036 Bárány, Imre; Kalai, Gil; Meshulam, Roy 3 2017 Three puzzles on mathematics, computation, and games. Zbl 1398.00015 Kalai, Gil 3 2018 Periodic boundary conditions for periodic Jacobi matrices on trees. Zbl 1507.47074 Avni, Nir; Breuer, Jonathan; Kalai, Gil; Simon, Barry 2 2022 Erdős-Szekeres theorem for \(k\)-flats. Zbl 1516.52013 Bárány, Imre; Kalai, Gil; Pór, Attila 2 2023 A problem of Füredi and Seymour on covering intersecting families by pairs. Zbl 0810.05051 Kahn, Jeff; Kalai, Gil 2 1994 Lower bounds on the competitive ratio for mobile user tracking and distributed job scheduling. (Extended abstract). Zbl 0919.68071 Alon, Noga; Kalai, Gil; Ricklin, Moty; Stockmeyer, Larry 2 1992 Flag numbers and FLAGTOOL. Zbl 0960.68184 Kalai, Gil; Kleinschmidt, Peter; Meisinger, Günter 2 2000 Three puzzles on mathematics, computation, and games. Zbl 1490.68092 Kalai, Gil 2 2018 Chvátal’s conjecture and correlation inequalities. Zbl 1381.05079 Friedgut, Ehud; Kahn, Jeff; Kalai, Gil; Keller, Nathan 2 2018 Quasi-random multilinear polynomials. Zbl 1454.26018 Kalai, Gil; Schulman, Leonard J. 2 2019 Geometric and algebraic combinatorics. Abstracts from the workshop held February 1–7, 2015. Zbl 1349.00204 2 2015 Designs exist! [after Peter Keevash]. Zbl 1470.05002 Kalai, Gil 2 2016 Statistical aspects of the quantum supremacy demonstration. Zbl 07569964 Rinott, Yosef; Shoham, Tomer; Kalai, Gil 1 2022 The work of June Huh. Zbl 1536.01025 Kalai, Gil 1 2023 Three theorems, with computer-aided proofs, on three-dimensional faces and quotients of polytopes. Zbl 0961.52003 Meisinger, G.; Kleinschmidt, P.; Kalai, G. 1 2000 Threshold intervals under group symmetries. Zbl 0929.60015 Bourgain, Jean; Kalai, Gil 1 1999 The argument against quantum computers. Zbl 1499.81032 Kalai, Gil 1 2020 Erdős-Szekeres theorem for \(k\)-flats. Zbl 1516.52013 Bárány, Imre; Kalai, Gil; Pór, Attila 2 2023 The work of June Huh. Zbl 1536.01025 Kalai, Gil 1 2023 Helly-type problems. Zbl 1503.52009 Bárány, Imre; Kalai, Gil 9 2022 Periodic boundary conditions for periodic Jacobi matrices on trees. Zbl 1507.47074 Avni, Nir; Breuer, Jonathan; Kalai, Gil; Simon, Barry 2 2022 Statistical aspects of the quantum supremacy demonstration. Zbl 07569964 Rinott, Yosef; Shoham, Tomer; Kalai, Gil 1 2022 On symmetric intersecting families. Zbl 1437.05229 Ellis, David; Kalai, Gil; Narayanan, Bhargav 4 2020 The argument against quantum computers. Zbl 1499.81032 Kalai, Gil 1 2020 Quasi-random multilinear polynomials. Zbl 1454.26018 Kalai, Gil; Schulman, Leonard J. 2 2019 Bidding games and efficient allocations. Zbl 1419.91072 Meir, Reshef; Kalai, Gil; Tennenholtz, Moshe 8 2018 Boolean functions: influence, threshold and noise. Zbl 1485.94174 Kalai, Gil 5 2018 Three puzzles on mathematics, computation, and games. Zbl 1398.00015 Kalai, Gil 3 2018 Three puzzles on mathematics, computation, and games. Zbl 1490.68092 Kalai, Gil 2 2018 Chvátal’s conjecture and correlation inequalities. Zbl 1381.05079 Friedgut, Ehud; Kahn, Jeff; Kalai, Gil; Keller, Nathan 2 2018 A Tverberg type theorem for matroids. Zbl 1387.05036 Bárány, Imre; Kalai, Gil; Meshulam, Roy 3 2017 Bipartite rigidity. Zbl 1332.05040 Kalai, Gil; Nevo, Eran; Novik, Isabella 10 2016 Bipartite minors. Zbl 1327.05315 Chudnovsky, Maria; Kalai, Gil; Nevo, Eran; Novik, Isabella; Seymour, Paul 7 2016 The quantum computer puzzle. Zbl 1354.81009 Kalai, Gil 7 2016 On the correlation of increasing families. Zbl 1343.05034 Kalai, Gil; Keller, Nathan; Mossel, Elchanan 4 2016 Designs exist! [after Peter Keevash]. Zbl 1470.05002 Kalai, Gil 2 2016 Some old and new problems in combinatorial geometry. I: Around Borsuk’s problem. Zbl 1361.51008 Kalai, Gil 8 2015 Geometric and algebraic combinatorics. Abstracts from the workshop held February 1–7, 2015. Zbl 1349.00204 2 2015 A quantitative version of the Gibbard-Satterthwaite theorem for three alternatives. Zbl 1229.05264 Friedgut, Ehud; Kalai, Gil; Keller, Nathan; Nisan, Noam 11 2011 Noise sensitivity and chaos in social choice theory. Zbl 1206.91033 Kalai, Gil 3 2010 Leray numbers of projections and a topological Helly-type theorem. Zbl 1148.55014 Kalai, Gil; Meshulam, Roy 13 2008 Neighborly embedded manifolds. Zbl 1153.53303 Kalai, G.; Wigderson, A. 5 2008 Thresholds and expectation thresholds. Zbl 1118.05093 Kahn, Jeff; Kalai, Gil 45 2007 Intersections of Leray complexes and regularity of monomial ideals. Zbl 1105.13026 Kalai, Gil; Meshulam, Roy 36 2006 Threshold phenomena and influence: perspectives from mathematics, computer science, and economics. Zbl 1156.82317 Kalai, Gil; Safra, Shmuel 29 2006 A law of large numbers for weighted majority. Zbl 1142.60006 Häggström, Olle; Kalai, Gil; Mossel, Elchanan 4 2006 A topological colorful Helly theorem. Zbl 1064.52008 Kalai, Gil; Meshulam, Roy 47 2005 Social indeterminacy. Zbl 1141.91373 Kalai, Gil 16 2004 First passage percolation has sublinear distance variance. Zbl 1087.60070 Benjamini, Itai; Kalai, Gil; Schramm, Oded 61 2003 Learnability and rationality of choice. Zbl 1069.91028 Kalai, Gil 11 2003 Rationalizing choice functions by multiple rationales. Zbl 1130.91326 Kalai, Gil; Rubinstein, Ariel; Spiegler, Ran 54 2002 Boolean functions whose Fourier transform is concentrated on the first two levels. Zbl 1039.91014 Friedgut, Ehud; Kalai, Gil; Naor, Assaf 45 2002 Transversal numbers for hypergraphs arising in geometry. Zbl 1027.52003 Alon, Noga; Kalai, Gil; Matoušek, Jiří; Meshulam, Roy 43 2002 A Fourier-theoretic perspective on the Condorcet paradox and Arrow’s theorem. Zbl 1038.91027 Kalai, Gil 38 2002 Algebraic shifting. Zbl 1034.57021 Kalai, Gil 65 2001 Polytopes - combinatorics and computation. DMV-seminar Oberwolfach, Germany, November 1997. Zbl 0944.00089 7 2000 Combinatorics with a geometric flavor. Zbl 0989.05001 Kalai, Gil 6 2000 Flag numbers and FLAGTOOL. Zbl 0960.68184 Kalai, Gil; Kleinschmidt, Peter; Meisinger, Günter 2 2000 Three theorems, with computer-aided proofs, on three-dimensional faces and quotients of polytopes. Zbl 0961.52003 Meisinger, G.; Kleinschmidt, P.; Kalai, G. 1 2000 Noise sensitivity of Boolean functions and applications to percolation. Zbl 0986.60002 Benjamini, Itai; Kalai, Gil; Schramm, Oded 100 1999 Threshold intervals under group symmetries. Zbl 0929.60015 Bourgain, Jean; Kalai, Gil 1 1999 Influences of variables and threshold intervals under group symmetries. Zbl 0982.20004 Bourgain, J.; Kalai, G. 30 1997 Linear programming, the simplex algorithm and simple polytopes. Zbl 0887.90116 Kalai, Gil 19 1997 Polytope skeletons and paths. Zbl 0910.52005 Kalai, Gil 11 1997 Guarding galleries where every point sees a large area. Zbl 0953.68137 Kalai, Gil; Matoušek, Jiří 11 1997 Every monotone graph property has a sharp threshold. Zbl 0864.05078 Friedgut, Ehud; Kalai, Gil 136 1996 Bounding the piercing number. Zbl 0826.52006 Alon, N.; Kalai, G. 22 1995 On the distance distribution of codes. Zbl 0831.94019 Kalai, Gil; Linial, Nathan 9 1995 Combinatorics and convexity. Zbl 0843.52002 Kalai, Gil 4 1995 Some aspects of the combinatorial theory of convex polytopes. Zbl 0804.52006 Kalai, Gil 22 1994 Lower bounds on the competitive ratio for mobile user tracking and distributed job scheduling. Zbl 0834.68042 Alon, Noga; Kalai, Gil; Ricklin, Moty; Stockmeyer, Larry 10 1994 A problem of Füredi and Seymour on covering intersecting families by pairs. Zbl 0810.05051 Kahn, Jeff; Kalai, Gil 2 1994 A counterexample to Borsuk’s conjecture. Zbl 0786.52002 Kahn, Jeff; Kalai, Gil 78 1993 The influence of variables in product spaces. Zbl 0771.60002 Bourgain, Jean; Kahn, Jeff; Kalai, Gil; Katznelson, Yitzhak; Linial, Nathan 62 1992 A quasi-polynomial bound for the diameter of graphs of polyhedra. Zbl 0751.52006 Kalai, Gil; Kleitman, Daniel J. 53 1992 Upper bounds for the diameter and height of graphs of convex polyhedra. Zbl 0764.52003 Kalai, Gil 16 1992 Lower bounds on the competitive ratio for mobile user tracking and distributed job scheduling. (Extended abstract). Zbl 0919.68071 Alon, Noga; Kalai, Gil; Ricklin, Moty; Stockmeyer, Larry 2 1992 The diameter of graphs of convex polytopes and \(f\)-vector theory. Zbl 0739.52017 Kalai, Gil 32 1991 Extended Euler-Poincaré relations for cell complexes. Zbl 0733.55002 Björner, Anders; Kalai, Gil 5 1991 On low-dimensional faces that high-dimensional polytopes must have. Zbl 0721.52008 Kalai, G. 9 1990 The number of faces of centrally-symmetric polytopes. Zbl 1168.52303 Kalai, Gil 18 1989 On \(f\)-vectors and homology. Zbl 0747.52001 Björner, Anders; Kalai, Gil 10 1989 An extended Euler-Poincaré theorem. Zbl 0667.52008 Björner, Anders; Kalai, Gil 51 1988 Many triangulated spheres. Zbl 0631.52009 Kalai, Gil 39 1988 Shadows of colored complexes. Zbl 0651.05003 Frankl, Peter; Füredi, Zoltán; Kalai, Gil 38 1988 A simple way to tell a simple polytope from its graph. Zbl 0673.05087 Kalai, Gil 37 1988 A new basis of polytopes. Zbl 0691.05006 Kalai, Gil 19 1988 Rigidity and the lower bound theorem. I. Zbl 0624.52004 Kalai, Gil 101 1987 Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). II: Sufficiency of Eckhoff’s conditions. Zbl 0599.52003 Kalai, Gil 15 1986 Hyperconnectivity of graphs. Zbl 0609.05051 Kalai, Gil 33 1985 A simple proof of the upper bound theorem. Zbl 0582.52003 Alon, N.; Kalai, G. 24 1985 f-vectors of acyclic complexes. Zbl 0579.57015 Kalai, Gil 8 1985 A new approach to Turán’s conjecture. Zbl 0579.05003 Kalai, Gil 5 1985 Intersection patterns of convex sets. Zbl 0557.52005 Kalai, Gil 67 1984 Regular subgraphs of almost regular graphs. Zbl 0527.05059 Alon, N.; Friedland, S.; Kalai, G. 47 1984 Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). I: Necessity of Eckhoff’s conditions. Zbl 0572.52006 Kalai, Gil 33 1984 Weakly saturated graphs are rigid. Zbl 0576.05018 Kalai, Gil 28 1984 Every 4-regular graph plus an edge contains a 3-regular subgraph. Zbl 0546.05054 Alon, N.; Friedland, S.; Kalai, G. 10 1984 Enumeration of \({\mathbb{Q}}\)-acyclic simplicial complexes. Zbl 0535.57011 Kalai, Gil 75 1983 Asymptotic stability and other properties of trajectories and transfer sequences leading to the bargaining sets. Zbl 0395.90100 Kalai, G.; Maschler, M.; Owen, G. 8 1975 all cited Publications top 5 cited Publications all top 5 Cited by 1,579 Authors 43 Kalai, Gil 33 Nevo, Eran 29 Mossel, Elchanan 25 Novik, Isabella 23 Keller, Nathan 20 Murai, Satoshi 17 Alon, Noga 17 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 15 Friedgut, Ehud 15 Ziegler, Günter Matthias 14 Bollobás, Béla 13 Filmus, Yuval 13 Lifshitz, Noam 12 Duval, Art M. 12 Kahn, Jeff D. 12 O’Donnell, Ryan 11 Adiprasito, Karim Alexander 11 Ellis, David Christopher 11 Holmsen, Andreas F. 11 Zheng, Hailun 10 Ahlberg, Daniel 10 Benjamini, Itai 10 Björner, Anders 10 Datta, Basudeb 10 Kim, Minki 10 Meshulam, Roy 10 Morris, Robert D. 10 Santos, Francisco 9 Duminil-Copin, Hugo 9 Furedi, Zoltan 9 Herzog, Jürgen 9 Klee, Steven 8 Balogh, József 8 Bárány, Imre 8 Deza, Antoine 8 Eckhoff, Jürgen 8 Frankl, Péter 8 Klivans, Caroline Jane 8 Kook, Woong 8 Kupavskii, Andrey 8 Martin, Jeremy L. 8 Riordan, Oliver Maxim 8 Steif, Jeffrey E. 8 Swartz, Edward 8 Tancer, Martin 8 Tassion, Vincent 7 Avni, Guy 7 De Loera, Jesús A. 7 Dinur, Irit 7 Garban, Christophe 7 Henzinger, Thomas A. 7 Hibi, Takayuki 7 Koshelev, Mikhail M. 7 Matoušek, Jiří 7 Narayanan, Bhargav P. 7 Pineda-Villavicencio, Guillermo 7 Rossignol, Raphaël 7 Schramm, Oded 7 Servedio, Rocco A. 6 Bagchi, Bhaskar 6 Billera, Louis J. 6 Ehrenborg, Richard 6 Goaoc, Xavier 6 Kim, Jinha 6 Linial, Nathan 6 Minzer, Dor 6 Montejano Peimbert, Luis 6 Peled, Yuval 6 Sanyal, Raman 6 Soberón, Pablo 6 Ugon, Julien 6 Vanneuville, Hugo 6 Yost, David T. 5 Babson, Eric K. 5 Bayer, Margaret M. 5 Chudnovsky, Maria 5 Dadush, Daniel 5 Frieze, Alan Michael 5 Gao, Weidong 5 Giarlotta, Alfio 5 Goeckner, Bennet 5 Grimmett, Geoffrey R. 5 Hoffman, Christopher 5 Kahle, Matthew 5 Keevash, Peter 5 Kim, Jaehoon 5 Kindler, Guy 5 Lee, Kang-Ju 5 Lew, Alan 5 Li, Xueliang 5 Marichal, Jean-Luc 5 Morrison, Natasha 5 Nagel, Uwe 5 Neeman, Joe 5 Newman, Andrew F. 5 Noel, Jonathan Andrew 5 Park, Jinyoung 5 Pete, Gábor 5 Pfeifle, Julian 5 Pournin, Lionel ...and 1,479 more Authors all top 5 Cited in 241 Serials 88 Discrete & Computational Geometry 72 Journal of Combinatorial Theory. Series A 63 Discrete Mathematics 54 Israel Journal of Mathematics 39 European Journal of Combinatorics 38 The Electronic Journal of Combinatorics 30 Advances in Mathematics 30 Combinatorica 29 Random Structures & Algorithms 25 The Annals of Probability 23 Proceedings of the American Mathematical Society 22 Journal of Algebraic Combinatorics 20 Discrete Applied Mathematics 19 Probability Theory and Related Fields 19 SIAM Journal on Discrete Mathematics 18 Transactions of the American Mathematical Society 18 Combinatorics, Probability and Computing 16 Journal of Combinatorial Theory. Series B 16 Advances in Applied Mathematics 12 Electronic Journal of Probability 11 Journal of Mathematical Economics 11 Social Choice and Welfare 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Journal of Economic Theory 10 Journal of Graph Theory 10 Mathematika 10 Theoretical Computer Science 10 Journal of the American Mathematical Society 10 The Annals of Applied Probability 10 Bulletin of the American Mathematical Society. New Series 10 Mathematical Programming. Series A. Series B 9 International Journal of Game Theory 9 Graphs and Combinatorics 9 Computational Geometry 9 Games and Economic Behavior 8 Journal of Statistical Physics 8 Bulletin of the London Mathematical Society 8 Journal of Computer and System Sciences 8 Stochastic Processes and their Applications 8 Annals of Mathematics. Second Series 8 Journal of Commutative Algebra 8 Algebraic Combinatorics 7 Mathematical Notes 7 Topology and its Applications 7 Geometric and Functional Analysis. GAFA 7 Experimental Mathematics 7 Oberwolfach Reports 6 Communications in Algebra 6 Communications in Mathematical Physics 6 Information Processing Letters 6 Problems of Information Transmission 6 Journal of Pure and Applied Algebra 6 Mathematische Annalen 6 Theory and Decision 6 Linear Algebra and its Applications 6 Séminaire Lotharingien de Combinatoire 6 Doklady Mathematics 6 Journal of the European Mathematical Society (JEMS) 5 Journal of Algebra 5 Journal of Mathematical Sciences (New York) 5 Economic Theory 5 Electronic Communications in Probability 5 Annals of Combinatorics 5 Discrete Analysis 4 Arkiv för Matematik 4 Acta Mathematica 4 Inventiones Mathematicae 4 Proceedings of the London Mathematical Society. Third Series 4 SIAM Journal on Computing 4 Order 4 Algorithmica 4 Advances in Geometry 4 Algebraic & Geometric Topology 4 Theory of Computing 4 Moscow Journal of Combinatorics and Number Theory 4 Computer Science Review 4 Journal of Applied and Computational Topology 3 Artificial Intelligence 3 Beiträge zur Algebra und Geometrie 3 Applied Mathematics and Computation 3 Collectanea Mathematica 3 Duke Mathematical Journal 3 Publications Mathématiques 3 Mathematics of Operations Research 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Results in Mathematics 3 Mathematical Social Sciences 3 Operations Research Letters 3 Acta Mathematica Hungarica 3 Information and Computation 3 Journal of Theoretical Probability 3 Computational Complexity 3 Top 3 Annals of Mathematics and Artificial Intelligence 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Forum of Mathematics, Sigma 3 Combinatorial Theory 2 Advances in Applied Probability 2 Computers & Mathematics with Applications ...and 141 more Serials all top 5 Cited in 50 Fields 625 Combinatorics (05-XX) 400 Convex and discrete geometry (52-XX) 237 Probability theory and stochastic processes (60-XX) 164 Computer science (68-XX) 124 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Commutative algebra (13-XX) 92 Statistical mechanics, structure of matter (82-XX) 91 Operations research, mathematical programming (90-XX) 90 Manifolds and cell complexes (57-XX) 84 Order, lattices, ordered algebraic structures (06-XX) 63 Algebraic topology (55-XX) 63 Information and communication theory, circuits (94-XX) 39 Number theory (11-XX) 35 Geometry (51-XX) 33 Group theory and generalizations (20-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Algebraic geometry (14-XX) 20 Measure and integration (28-XX) 17 Quantum theory (81-XX) 12 General and overarching topics; collections (00-XX) 12 Differential geometry (53-XX) 11 Statistics (62-XX) 10 Associative rings and algebras (16-XX) 10 Functional analysis (46-XX) 10 General topology (54-XX) 10 Numerical analysis (65-XX) 10 Biology and other natural sciences (92-XX) 9 Real functions (26-XX) 8 Operator theory (47-XX) 7 Partial differential equations (35-XX) 6 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 4 Mathematical logic and foundations (03-XX) 4 Functions of a complex variable (30-XX) 4 Abstract harmonic analysis (43-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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