Edit Profile (opens in new tab) Frankl, Péter Co-Author Distance Author ID: frankl.peter Published as: Frankl, Peter; Frankl, P.; Frankl, Péter more...less Homepage: http://www.renyi.hu/~pfrankl/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 340 Publications since 1975, including 1 Book and 11 Additional arXiv Preprints 2 Contributions as Editor · 2 Further Contributions Co-Authors: 113 Co-Authors with 241 Joint Publications 4,926 Co-Co-Authors all top 5 Co-Authors 101 single-authored 33 Rodl, Vojtech 28 Kupavskii, Andrey 27 Furedi, Zoltan 27 Tokushige, Norihide 20 Deza, Michel Marie 18 Wang, Jian 13 Graham, Ronald Lewis 12 Pach, János 9 Katona, Gyula O. H. 9 Maehara, Hiroshi 7 Cohen, Gérard Denis 7 Daykin, David E. 6 Babai, László 6 Erdős, Pál 5 Alon, Noga 4 Bárány, Imre 4 Ota, Katsuhiro 3 Bermond, Jean-Claude 3 Cameron, Peter Jephson 3 Erdős, Péter L. 3 Hilton, Anthony J. W. 3 Huang, Hao 3 Katona, Gyula Y. 3 Liu, Erica L. L. 3 Rosenberg, Ivo G. 3 Ruciński, Andrzej 3 Stechkin, Boris Sergeevich 3 Wilson, Richard Michael 2 Bouchon, Bernadette 2 Brouwer, Andries Evert 2 Calderbank, Arthur Robert 2 Chung, Fan 2 Dudek, Andrzej 2 Duffus, Dwight 2 Hirschfeld, James William Peter 2 Kiselev, Sergei 2 Lovász, László 2 Odlyzko, Andrew M. 2 Pálvölgyi, Dömötör 2 Singhi, Navin Madhavprasad 2 Sós, Vera Turán 1 Akiyama, Jin 1 Ambrus, Gergely 1 Artmann, Benno 1 Artzy, Rafael 1 Bannai, Eiichi 1 Békéssy, András 1 Bichara, Alessandro 1 Björner, Anders 1 Blokhuis, Aart 1 Bonetti, Flavio 1 Burr, Stefan A. 1 Calderbrank, A. R. 1 Charit, Y. 1 Chowdhury, Ameera 1 Civolani, Nino 1 Daykin, D. K. 1 de Resmini, Marialuisa Joyce 1 Dellamonica, Domingos jun. 1 Demetrovics, János 1 Ellers, Erich Werner 1 Engel, Konrad 1 Enomoto, Hikoe 1 Fiedler, Miroslav 1 Fishburn, Peter Clingerman 1 Freed, Daniel Stuart 1 Geréb, Mihály 1 Greene, Curtis 1 Grünbaum, Branko 1 Gutman, Ivan M. 1 Gyárfás, András 1 Győri, Ervin 1 Häggkvist, Roland 1 Han, Jie 1 Hannák, L. 1 Harborth, Heiko 1 He, Zhen 1 Hegedűs, Gábor 1 Heise, Werner 1 Hergesell, Gerhard A. 1 Hoede, Cornelis 1 Holmsen, Andreas F. 1 Hotja, H. 1 Hurlbert, Glenn H. 1 Ito, Noboru 1 Johnson, David Stifler 1 Junkers, Wilhelm 1 Kaerlein, Gerd 1 Kalai, Gil 1 Kantor, William M. 1 Karzel, Helmut 1 Kato, Mitsuo 1 Kim, Ann Chi 1 Kleitman, Daniel J. 1 Knüppel, Frieder 1 Kohayakawa, Yoshiharu 1 Kollár, János 1 Kroll, Hans-Joachim 1 Kurepa, Đuro R. 1 Kutin, Samuel A. ...and 73 more Co-Authors all top 5 Serials 48 Journal of Combinatorial Theory. Series A 38 European Journal of Combinatorics 32 Discrete Mathematics 25 Combinatorica 15 Journal of Combinatorial Theory. Series B 15 Graphs and Combinatorics 12 Moscow Journal of Combinatorics and Number Theory 10 Combinatorics, Probability and Computing 7 Studia Scientiarum Mathematicarum Hungarica 6 Discrete Applied Mathematics 6 Acta Mathematica Hungarica 6 The Electronic Journal of Combinatorics 5 Acta Mathematica Academiae Scientiarum Hungaricae 4 SIAM Journal on Algebraic and Discrete Methods 3 Bulletin of the Australian Mathematical Society 3 Israel Journal of Mathematics 3 Ars Combinatoria 3 Journal of Graph Theory 3 Proceedings of the London Mathematical Society. Third Series 3 Transactions of the American Mathematical Society 3 Discrete & Computational Geometry 3 SIAM Journal on Discrete Mathematics 2 American Mathematical Monthly 2 Periodica Mathematica Hungarica 2 Journal of the London Mathematical Society. Second Series 2 Mathematika 2 Proceedings of the American Mathematical Society 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Matematicheskie Zametki 1 Algebra Universalis 1 Annals of the Institute of Statistical Mathematics 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of Geometry 1 Journal of Number Theory 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Bulletin pour les Sous Ensembles Flous et Leurs Applications 1 Journal of the American Mathematical Society 1 Random Structures & Algorithms 1 Ryukyu Mathematical Journal 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Journal of the Australian Mathematical Society. Series A 1 Problems of Control and Information Theory 1 Journal of Algebraic Combinatorics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Revue du CETHEDEC 1 Bolyai Society Mathematical Studies 1 London Mathematical Society Lecture Note Series 1 Student Mathematical Library 1 Optimization Letters 1 Science China. Mathematics 1 Journal of Computational Geometry 1 Discrete Analysis all top 5 Fields 314 Combinatorics (05-XX) 16 Convex and discrete geometry (52-XX) 14 Geometry (51-XX) 13 Mathematical logic and foundations (03-XX) 9 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 8 Information and communication theory, circuits (94-XX) 5 Probability theory and stochastic processes (60-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 273 Publications have been cited 4,411 times in 2,418 Documents Cited by ▼ Year ▼ Intersection theorems with geometric consequences. Zbl 0498.05048 Frankl, P.; Wilson, R. M. 224 1981 The asymptotic number of graphs not containing a fixed subgraph and a problem for hypergraphs having no exponent. Zbl 0593.05038 Erdős, Paul; Frankl, Peter; Rödl, Vojtěch 124 1986 Families of finite sets in which no set is covered by the union of \(r\) others. Zbl 0587.05021 Erdős, Paul; Frankl, P.; Füredi, Z. 110 1985 On the maximum number of permutations with given maximal or minimal distance. Zbl 0352.05003 Frankl, Peter; Deza, Mikhail 102 1977 An extremal problem for two families of sets. Zbl 0488.05004 Frankl, P. 97 1982 Erdős-Ko-Rado theorem - 22 years later. Zbl 0526.05001 Deza, M.; Frankl, P. 95 1983 The Erdős-Ko-Rado theorem for vector spaces. Zbl 0609.05055 Frankl, P.; Wilson, R. M. 87 1986 Improved bounds for Erdős’ matching conjecture. Zbl 1277.05123 Frankl, Peter 87 2013 Some intersection theorems for ordered sets and graphs. Zbl 0655.05001 Chung, F. R. K.; Graham, R. L.; Frankl, P.; Shearer, J. B. 77 1986 Near perfect coverings in graphs and hypergraphs. Zbl 0624.05055 Frankl, Peter; Rödl, Vojtěch 76 1985 Forbidden intersections. Zbl 0611.05002 Frankl, Peter; Rödl, Vojtěch 73 1987 The Erdős-Ko-Rado theorem is true for \(n = ckt\). Zbl 0401.05001 Frankl, P. 72 1978 Hypergraphs do not jump. Zbl 0663.05047 Frankl, Peter; Rödl, Vojtěch 68 1984 Extremal problems on set systems. Zbl 0995.05141 Frankl, Peter; Rödl, Vojtěch 66 2002 On intersecting families of finite sets. Zbl 0384.05002 Frankl, Peter 65 1978 Large matchings in uniform hypergraphs and the conjectures of Erdős and samuels. Zbl 1242.05189 Alon, Noga; Frankl, Peter; Huang, Hao; Rödl, Vojtech; Ruciński, Andrzej; Sudakov, Benny 65 2012 The shifting technique in extremal set theory. Zbl 0633.05038 Frankl, Peter 64 1987 The chromatic number of Kneser hypergraphs. Zbl 0605.05033 Alon, N.; Frankl, P.; Lovász, László 60 1986 Extremal problems whose solutions are the blowups of the small Witt- designs. Zbl 0731.05030 Frankl, P.; Füredi, Z. 59 1989 Forbidding just one intersection. Zbl 0573.05001 Frankl, Peter; Füredi, Zoltán 58 1985 Cops and robbers in graphs with large girth and Cayley graphs. Zbl 0624.05041 Frankl, Peter 58 1987 On Sperner families satisfying an additional condition. Zbl 0328.05002 Frankl, P. 57 1976 Exact solution of some Turán-type problems. Zbl 0661.05003 Frankl, P.; Füredi, Z. 54 1987 On the maximum number of edges in a hypergraph with given matching number. Zbl 1358.05202 Frankl, Peter 52 2017 Extremal set systems. Zbl 0844.05094 Frankl, P. 49 1995 A new generalization of the Erdős-Ko-Rado theorem. Zbl 0529.05001 Frankl, Peter; Fueredi, Zoltan 48 1983 Intersection properties of systems of finite sets. Zbl 0407.05006 Deza, M.; Erdős, Paul; Frankl, P. 46 1978 Large triangle-free subgraphs in graphs without \(K_ 4\). Zbl 0596.05037 Frankl, Peter; Rödl, Vojtěch 46 1986 Erdős-Ko-Rado theorem with conditions on the maximal degree. Zbl 0661.05002 Frankl, Peter 46 1987 Families of finite sets in which no set is covered by the union of two others. Zbl 0489.05003 Erdős, Paul; Frankl, P.; Fueredi, Z. 44 1982 Non-trivial intersecting families. Zbl 0583.05002 Frankl, P.; Füredi, Z. 43 1986 On the trace of finite sets. Zbl 0505.05001 Frankl, Peter 42 1983 A new short proof for the Kruskal-Katona theorem. Zbl 0539.05006 Frankl, P. 38 1984 Shadows of colored complexes. Zbl 0651.05003 Frankl, Peter; Füredi, Zoltán; Kalai, Gil 37 1988 The Johnson-Lindenstrauss lemma and the sphericity of some graphs. Zbl 0675.05049 Frankl, P.; Maehara, H. 37 1988 A Hilton-Milner theorem for vector spaces. Zbl 1189.05171 Blokhuis, A.; Brouwer, A. E.; Chowdhury, A.; Frankl, P.; Mussche, T.; Patkós, B.; Szönyi, T. 36 2010 Some best possible inequalities concerning cross-intersecting families. Zbl 0767.05093 Frankl, Peter; Tokushige, Norihide 35 1992 An exact result for 3-graphs. Zbl 0538.05050 Frankl, P.; Füredi, Z. 34 1984 Invitation to intersection problems for finite sets. Zbl 1343.05153 Frankl, Peter; Tokushige, Norihide 32 2016 A partition property of simplices in Euclidean space. Zbl 0696.05014 Frankl, Peter; Rödl, Vojtěch 31 1990 The Erdoes-Ko-Rado theorem for integer sequences. Zbl 0506.05001 Frankl, Peter; Fueredi, Zoltan 29 1980 Intersection theorems and mod \(p\) rank of inclusion matrices. Zbl 0744.05008 Frankl, P. 29 1990 Two problems on matchings in set families – in the footsteps of Erdős and Kleitman. Zbl 1415.05175 Frankl, Peter; Kupavskii, Andrey 29 2019 The uniformity lemma for hypergraphs. Zbl 0777.05084 Frankl, Peter; Rödl, Vojtěch 29 1992 The Erdős-Ko-Rado theorem for integer sequences. Zbl 0959.05115 Frankl, Peter; Tokushige, Norihide 27 1999 Quantitative theorems for regular systems of equations. Zbl 0654.05002 Frankl, Peter; Graham, Ronald L.; Rödl, Vojtěch 27 1988 On families of finite sets no two of which intersect in a singleton. Zbl 0385.05003 Frankl, Peter 26 1977 The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Zbl 0651.05010 Björner, A.; Frankl, P.; Stanley, R. 26 1987 On matchings in hypergraphs. Zbl 1252.05092 Frankl, Peter; Łuczak, Tomasz; Mieczkowska, Katarzyna 25 2012 On the number of sets in a null t-design. Zbl 0508.05018 Frankl, Peter; Pach, Janos 24 1983 Beyond the Erdős-Ko-Rado theorem. Zbl 0742.05080 Frankl, Peter; Füredi, Zoltán 24 1991 Extremal problems concerning Kneser-graphs. Zbl 0564.05002 Frankl, P.; Füredi, Z. 23 1986 Finite projective spaces and intersecting hypergraphs. Zbl 0643.05018 Frankl, P.; Füredi, Z. 23 1986 A short proof for a theorem of Harper about Hamming-spheres. Zbl 0482.05002 Frankl, P.; Fueredi, Z. 23 1981 On the maximum number of edges in a triple system not containing a disjoint family of a given size. Zbl 1241.05053 Frankl, Peter; Rödl, Vojtech; Ruciński, Andrzej 23 2012 A new short proof of the EKR theorem. Zbl 1244.05008 Frankl, Peter; Füredi, Zoltán 23 2012 Isomorphisms of Cayley graphs. I. Zbl 0404.05029 Babai, L.; Frankl, P. 22 1978 Extremal problems for finite sets. Zbl 1416.05001 Frankl, Peter; Tokushige, Norihide 22 2018 An Erdös-Ko-Rado theorem for direct products. Zbl 0860.05068 Frankl, P. 21 1996 On the size of graphs with complete-factors. Zbl 0593.05042 Akiyama, Jin; Frankl, Peter 21 1985 An Erdős-Ko-Rado theorem for cross \(t\)-intersecting families. Zbl 1301.05316 Frankl, Peter; Lee, Sang June; Siggers, Mark; Tokushige, Norihide 21 2014 The Erdős matching conjecture and concentration inequalities. Zbl 1497.05253 Frankl, Peter; Kupavskii, Andrey 21 2022 Extremal hypergraph problems and convex hulls. Zbl 0579.05033 Erdös, Péter L.; Frankl, P.; Katona, G. O. H. 20 1985 All triangles are Ramsey. Zbl 0598.05003 Frankl, Peter; Rödl, Vojtěch 19 1986 Weighted multiply intersecting families. Zbl 1045.05084 Frankl, P.; Tokushige, N. 19 2003 Intersecting Sperner families and their convex hulls. Zbl 0544.05001 Erdös, Péter L.; Frankl, Peter; Katona, Gyula O. H. 19 1984 A note on the jumping constant conjecture of Erdős. Zbl 1110.05052 Frankl, Peter; Peng, Yuejian; Rödl, Vojtech; Talbot, John 19 2007 Proof of the Erdős matching conjecture in a new range. Zbl 1376.05122 Frankl, Peter 18 2017 The number of submatrices of a given type in a Hadamard matrix and related results. Zbl 0658.05015 Frankl, Peter; Rödl, Vojtěch; Wilson, R. M. 18 1988 Union-free hypergraphs and probability theory. Zbl 0546.05049 Frankl, Peter; Füredi, Zoltan 18 1984 On \(r\)-cross intersecting families of sets. Zbl 1283.05259 Frankl, Peter; Tokushige, Norihide 18 2011 On disjointly representable sets. Zbl 0534.05003 Frankl, Peter; Pach, János 18 1984 Erdős-Ko-Rado theorem for \(\{0,\pm 1\}\)-vectors. Zbl 1441.05215 Frankl, Peter; Kupavskii, Andrey 17 2018 On a pursuit game on Cayley graphs. Zbl 0621.05017 Frankl, P. 17 1987 Covers in uniform intersecting families and a counterexample to a conjecture of Lovász. Zbl 0846.05094 Frankl, Peter; Ota, Katsuhiro; Tokushige, Norihide 17 1996 On intersecting families of finite sets. Zbl 0425.05002 Frankl, Peter 16 1980 Solution of the Littlewood-Offord problem in high dimensions. Zbl 0667.05017 Frankl, P.; Füredi, Z. 16 1988 A constructive lower bound for some Ramsey numbers. Zbl 0397.05036 Frankl, Peter 15 1977 Intersection theorems for vector spaces. Zbl 0577.15002 Frankl, P.; Graham, R. L. 15 1985 On subsets of abelian groups with no 3-term arithmetic progression. Zbl 0613.10043 Frankl, Peter; Graham, Ronald L.; Rödl, Vojtěch 15 1987 Codes with given distances. Zbl 0629.94014 Enomoto, H.; Frankl, P.; Ito, N.; Nomura, K. 15 1987 Minimum shadows in uniform hypergraphs and a generalization of the Takagi function. Zbl 0820.05059 Frankl, Peter; Matsumoto, Makoto; Ruzsa, Imre Z.; Tokushige, Norihide 14 1995 Orthogonal vectors in the \(n\)-dimensional cube and codes with missing distances. Zbl 0648.05031 Frankl, P. 14 1986 Sharp sets of permutations. Zbl 0648.20005 Cameron, P. J.; Deza, M.; Frankl, P. 14 1987 On functions of strength t. Zbl 0528.05012 Deza, M.; Frankl, P.; Singhi, N. M. 14 1983 On hypergraphs without two edges intersecting in a given number of vertices. Zbl 0529.05045 Frankl, P.; Fueredi, Z. 14 1984 Multiply-intersecting families. Zbl 0755.05093 Frankl, P. 14 1991 Extremal problems and coverings of the space. Zbl 0463.05043 Frankl, P. 13 1980 Families of finite sets satisfying an intersection condition. Zbl 0324.05005 Frankl, Peter 13 1976 Families with no \(s\) pairwise disjoint sets. Zbl 1370.05214 Frankl, Peter; Kupavskii, Andrey 13 2017 Intersecting families of finite sets and fixed-point-free 2-elements. Zbl 0722.05002 Cameron, P. J.; Frankl, P.; Kantor, W. M. 13 1989 Families of sets with no matchings of sizes 3 and 4. Zbl 1400.05252 Frankl, Peter; Kupavskii, Andrey 13 2019 Some Ramsey-Turán type results for hypergraphs. Zbl 0658.05041 Frankl, Peter; Rödl, Vojtěch 13 1988 Counting intersecting and pairs of cross-intersecting families. Zbl 1378.05202 Frankl, Peter; Kupavskii, Andrey 12 2018 Isomorphisms of Cayley graphs. II. Zbl 0449.05029 Babai, L.; Frankl, P. 12 1979 Every large set of equidistant (0,+1,-1)-vectors forms a sunflower. Zbl 0491.05045 Deza, M.; Frankl, P. 12 1981 Extremal \(k\)-edge-Hamiltonian hypergraphs. Zbl 1137.05051 Frankl, Péter; Katona, Gyula Y. 12 2008 Families of finite sets satisfying a union condition. Zbl 0397.05004 Frankl, Peter 11 1979 On the chromatic number of the general Kneser-graph. Zbl 0574.05022 Frankl, P. 11 1985 Lower bounds for Turán’s problem. Zbl 0577.05039 Frankl, Peter; Rödl, Vojtěch 11 1985 A product version of the Hilton-Milner theorem. Zbl 1519.05240 Frankl, Peter; Wang, Jian 2 2023 Best possible bounds on the number of distinct differences in intersecting families. Zbl 1498.05266 Frankl, Peter; Kiselev, Sergei; Kupavskii, Andrey 1 2023 Cells in the box and a hyperplane. Zbl 1519.52008 Bárány, Imre; Frankl, Péter 1 2023 Some inequalities concerning cross-intersecting families of integer sequences. Zbl 1522.05479 Frankl, Peter; Liu, Erica L. L.; Wang, Jian; Yang, Zhe 1 2023 The Erdős matching conjecture and concentration inequalities. Zbl 1497.05253 Frankl, Peter; Kupavskii, Andrey 21 2022 On the maximum number of distinct intersections in an intersecting family. Zbl 1482.05327 Frankl, Peter; Kiselev, Sergei; Kupavskii, Andrey 3 2022 On well-connected sets of strings. Zbl 1486.05330 Frankl, Peter; Pach, János 2 2022 On the sum of sizes of overlapping families. Zbl 1495.05254 Frankl, Peter; Wang, Jian 1 2022 Exchange properties of finite set-systems. Zbl 1496.05183 Frankl, Peter; Pach, János; Pálvölgyi, Dömötör 1 2022 Pseudo sunflowers. Zbl 1490.05264 Frankl, P. 1 2022 Old and new applications of Katona’s circle. Zbl 1466.05205 Frankl, Peter 4 2021 How (not) to cut your cheese. Zbl 1475.52020 Bárány, Imre; Frankl, Péter 3 2021 Beyond the Erdős matching conjecture. Zbl 1466.05206 Frankl, Peter; Kupavskii, Andrey 3 2021 Diversity. Zbl 1487.05260 Frankl, Peter; Kupavskii, Andrey 3 2021 Analogues of Katona’s and Milner’s theorems for two families. Zbl 1460.05186 Frankl, Peter; Wong, H. W. Willie 2 2021 Almost intersecting families. Zbl 1461.05231 Frankl, Peter; Kupavskii, Andrey 2 2021 Analogues of Milner’s theorem for families without long chains and of vector spaces. Zbl 1459.05323 Frankl, Peter 2 2021 On the number of distinct differences in an intersecting family. Zbl 1482.05326 Frankl, Peter 2 2021 On local Turán problems. Zbl 1448.05148 Frankl, Peter; Huang, Hao; Rödl, Vojtěch 1 2021 On the arithmetic mean of the size of cross-union families. Zbl 1488.05478 Frankl, P. 1 2021 Simple juntas for shifted families. Zbl 1450.05091 Frankl, Peter; Kupavskii, Andrey 10 2020 Sharp results concerning disjoint cross-intersecting families. Zbl 1437.05230 Frankl, Peter; Kupavskii, Andrey 6 2020 Maximum degree and diversity in intersecting hypergraphs. Zbl 1443.05178 Frankl, Peter 3 2020 On non-trivial families without a perfect matching. Zbl 1428.05244 Frankl, Peter 2 2020 Erdős-Ko-Rado theorem for a restricted universe. Zbl 1441.05214 Frankl, Peter 2 2020 Extremal set theory for the binomial norm. Zbl 1428.05303 Frankl, Peter 1 2020 An improved universal bound for \(t\)-intersecting families. Zbl 1439.05216 Frankl, Peter 1 2020 Two problems on matchings in set families – in the footsteps of Erdős and Kleitman. Zbl 1415.05175 Frankl, Peter; Kupavskii, Andrey 29 2019 Families of sets with no matchings of sizes 3 and 4. Zbl 1400.05252 Frankl, Peter; Kupavskii, Andrey 13 2019 Partition-free families of sets. Zbl 1422.05102 Frankl, Peter; Kupavskii, Andrey 8 2019 A simple proof of the Hilton-Milner theorem. Zbl 1414.05289 Frankl, Peter 6 2019 A near-exponential improvement of a bound of Erdős and Lovász on maximal intersecting families. Zbl 1436.05081 Frankl, Peter 4 2019 Incompatible intersection properties. Zbl 1449.05236 Frankl, Peter; Kupavskii, Andrey 3 2019 Some exact results for multiply intersecting families. Zbl 1414.05290 Frankl, Peter 2 2019 Correction to the article: “Intersection theorems for \((0,\pm1)\)-vectors and \(s\)-cross-intersecting families”. Zbl 1426.05171 Frankl, Peter; Kupavskii, Andrey 1 2019 Extremal problems for finite sets. Zbl 1416.05001 Frankl, Peter; Tokushige, Norihide 22 2018 Erdős-Ko-Rado theorem for \(\{0,\pm 1\}\)-vectors. Zbl 1441.05215 Frankl, Peter; Kupavskii, Andrey 17 2018 Counting intersecting and pairs of cross-intersecting families. Zbl 1378.05202 Frankl, Peter; Kupavskii, Andrey 12 2018 A degree version of the Hilton-Milner theorem. Zbl 1377.05189 Frankl, Peter; Han, Jie; Huang, Hao; Zhao, Yi 8 2018 Families of vectors without antipodal pairs. Zbl 1413.05369 Frankl, Peter; Kupavskii, Andrey 7 2018 New inequalities for families without \(k\) pairwise disjoint members. Zbl 1385.05069 Frankl, Peter; Kupavskii, Andrey 7 2018 A short proof for an extension of the Erdős-Ko-Rado theorem. Zbl 1398.05211 Frankl, Peter; Kupavskii, Andrey 3 2018 Borsuk and Ramsey type questions in Euclidean space. Zbl 1400.05257 Frankl, Peter; Pach, János; Reiher, Christian; Rödl, Vojtěch 3 2018 On families of sets without \(k\) pairwise disjoint members. Zbl 1384.05150 Frankl, Peter 2 2018 An exact result for \((0, \pm 1)\)-vectors. Zbl 1394.05135 Frankl, Peter 1 2018 Resilient hypergraphs with fixed matching number. Zbl 1424.05279 Frankl, Peter 1 2018 On the maximum number of edges in a hypergraph with given matching number. Zbl 1358.05202 Frankl, Peter 52 2017 Proof of the Erdős matching conjecture in a new range. Zbl 1376.05122 Frankl, Peter 18 2017 Families with no \(s\) pairwise disjoint sets. Zbl 1370.05214 Frankl, Peter; Kupavskii, Andrey 13 2017 A size-sensitive inequality for cross-intersecting families. Zbl 1358.05295 Frankl, Peter; Kupavskii, Andrey 10 2017 A note on Huang-Zhao theorem on intersecting families with large minimum degree. Zbl 1357.05064 Frankl, Peter; Tokushige, Norihide 6 2017 Families with no matchings of size \(s\). Zbl 1378.05201 Frankl, Peter; Kupavskii, Andrey 4 2017 Intersection theorems for \(\{0,\pm1\}\)-vectors and \(s\)-cross-intersecting families. Zbl 1395.05177 Frankl, Peter; Kupavskii, Andrey 4 2017 A stability result for the Katona theorem. Zbl 1350.05067 Frankl, P. 3 2017 Uniform \(s\)-cross-intersecting families. Zbl 1371.05298 Frankl, Peter; Kupavskii, Andrey 3 2017 Antichains of fixed diameter. Zbl 1456.05166 Frankl, Peter 2 2017 A short proof of Erdős’ conjecture for triple systems. Zbl 1399.05219 Frankl, P.; Rödl, V.; Ruciński, A. 1 2017 A stability result for families with fixed diameter. Zbl 1371.05297 Frankl, Peter 1 2017 A structural result for 3-graphs. Zbl 1357.05108 Frankl, P. 1 2017 Invitation to intersection problems for finite sets. Zbl 1343.05153 Frankl, Peter; Tokushige, Norihide 32 2016 Uniform eventown problems. Zbl 1321.05015 Frankl, Peter; Tokushige, Norihide 4 2016 Intersection problems in the \(q\)-ary cube. Zbl 1334.05174 Frankl, Peter; Tokushige, Norihide 4 2016 A note on supersaturated set systems. Zbl 1321.05284 Frankl, Peter; Kohayakawa, Yoshiharu; Rödl, Vojtěch 3 2016 Multiply union families in \(\mathbb{N}^n\). Zbl 1343.05152 Frankl, Peter; Shinohara, Masashi; Tokushige, Norihide 3 2016 New inequalities for cross-intersecting families. Zbl 1373.05194 Frankl, Peter 1 2016 Linear independence, a unifying approach to shadow theorems. Zbl 1339.05411 Frankl, Peter 1 2016 An Erdős-Ko-Rado theorem for cross \(t\)-intersecting families. Zbl 1301.05316 Frankl, Peter; Lee, Sang June; Siggers, Mark; Tokushige, Norihide 21 2014 Improved bounds for Erdős’ matching conjecture. Zbl 1277.05123 Frankl, Peter 87 2013 On the number of nonnegative sums. Zbl 1360.05179 Frankl, Peter 6 2013 Maximal independent sets in the covering graph of the cube. Zbl 1277.05087 Duffus, Dwight; Frankl, Peter; Rödl, Vojtěch 5 2013 Some recent results on Ramsey-type numbers. Zbl 1277.05163 Dudek, Andrzej; Frankl, Peter; Rödl, Vojtěch 3 2013 Two-colorings with many monochromatic cliques in both colors. Zbl 1301.05123 Frankl, Peter; Kato, Mitsuo; Katona, Gyula O. H.; Tokushige, Norihide 2 2013 The Katona theorem for vector spaces. Zbl 1314.05004 Frankl, Peter; Tokushige, Norihide 2 2013 Large matchings in uniform hypergraphs and the conjectures of Erdős and samuels. Zbl 1242.05189 Alon, Noga; Frankl, Peter; Huang, Hao; Rödl, Vojtech; Ruciński, Andrzej; Sudakov, Benny 65 2012 On matchings in hypergraphs. Zbl 1252.05092 Frankl, Peter; Łuczak, Tomasz; Mieczkowska, Katarzyna 25 2012 On the maximum number of edges in a triple system not containing a disjoint family of a given size. Zbl 1241.05053 Frankl, Peter; Rödl, Vojtech; Ruciński, Andrzej 23 2012 A new short proof of the EKR theorem. Zbl 1244.05008 Frankl, Peter; Füredi, Zoltán 23 2012 Disjoint edges in separated hypergraphs. Zbl 1293.05244 Frankl, Péter 1 2012 On \(r\)-cross intersecting families of sets. Zbl 1283.05259 Frankl, Peter; Tokushige, Norihide 18 2011 Maximal independent sets in bipartite graphs obtained from Boolean lattices. Zbl 1203.05075 Duffus, Dwight; Frankl, Peter; Rödl, Vojtěch 10 2011 A Hilton-Milner theorem for vector spaces. Zbl 1189.05171 Blokhuis, A.; Brouwer, A. E.; Chowdhury, A.; Frankl, P.; Mussche, T.; Patkós, B.; Szönyi, T. 36 2010 A note on universal and canonically coloured sequences. Zbl 1200.68138 Dudek, Andrzej; Frankl, Peter; Rödl, Vojtěch 1 2009 Extremal \(k\)-edge-Hamiltonian hypergraphs. Zbl 1137.05051 Frankl, Péter; Katona, Gyula Y. 12 2008 A note on the jumping constant conjecture of Erdős. Zbl 1110.05052 Frankl, Peter; Peng, Yuejian; Rödl, Vojtech; Talbot, John 19 2007 Weighted non-trivial multiply intersecting families. Zbl 1108.05088 Frankl, Peter; Tokushige, Norihide 7 2006 The maximum size of 3-wise intersecting and 3-wise union families. Zbl 1098.05077 Frankl, Peter; Tokushige, Norihide 3 2006 Random walks and multiply intersecting families. Zbl 1057.05076 Frankl, Peter; Tokushige, Norihide 7 2005 Strong Ramsey properties of simplices. Zbl 1054.05098 Frankl, Peter; Rödl, Vojtěch 3 2004 Weighted multiply intersecting families. Zbl 1045.05084 Frankl, P.; Tokushige, N. 19 2003 Extremal problems on set systems. Zbl 0995.05141 Frankl, Peter; Rödl, Vojtěch 66 2002 Weighted 3-wise 2-intersecting families. Zbl 1013.05084 Frankl, Peter; Tokushige, Norihide 9 2002 Set systems with restricted intersections modulo prime powers. Zbl 0971.05107 Babai, László; Frankl, Péter; Kutin, Samuel; Štefanković, Daniel 8 2001 Extremal \(k\)-edge-Hamiltonian hypergraphs. Zbl 1182.05089 Frankl, Péter; Katona, Gyula Y. 1 2001 Extremal \(k\)-edge-Hamiltonian hypergraphs. Zbl 1412.05141 Frankl, Péter; Katona, Gyula Y. 2 2000 The Erdős-Ko-Rado theorem for integer sequences. Zbl 0959.05115 Frankl, Peter; Tokushige, Norihide 27 1999 Some inequalities concerning cross-intersecting families. Zbl 0915.05108 Frankl, P.; Tokushige, N. 4 1998 Uniform intersecting families with covering number restrictions. Zbl 0892.05049 Frankl, P.; Ota, K.; Tokushige, N. 3 1998 An Erdös-Ko-Rado theorem for direct products. Zbl 0860.05068 Frankl, P. 21 1996 Covers in uniform intersecting families and a counterexample to a conjecture of Lovász. Zbl 0846.05094 Frankl, Peter; Ota, Katsuhiro; Tokushige, Norihide 17 1996 Exponents of uniform \(L\)-systems. Zbl 0858.05096 Frankl, Peter; Ota, Katsuhiro; Tokushige, Norihide 5 1996 ...and 173 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,188 Authors 176 Frankl, Péter 79 Rodl, Vojtech 72 Furedi, Zoltan 47 Alon, Noga 44 Balogh, József 44 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 43 Peng, Yuejian 41 Mubayi, Dhruv 39 Kupavskii, Andrey 37 Tokushige, Norihide 32 Sudakov, Benny 27 Schacht, Mathias 24 Borg, Peter 23 Bollobás, Béla 22 Kahn, Jeff D. 21 Han, Jie 21 Kohayakawa, Yoshiharu 20 Gerbner, Dániel 20 Keevash, Peter 20 Zhao, Yi 19 Wang, Jian 18 Katona, Gyula O. H. 18 Ruciński, Andrzej 16 Morris, Robert D. 16 Patkós, Balázs 16 Tuza, Zsolt 16 Verstraëte, Jacques 15 Deza, Michel Marie 15 Leader, Imre 15 Pikhurko, Oleg 14 Ellis, David Christopher 14 Erdős, Pál 14 Lu, Hongliang 14 Yuster, Raphael 13 Körner, János 13 Ku, Cheng Yeaw 13 Lefmann, Hanno 13 Lifshitz, Noam 13 Pach, János 12 Conlon, David 12 Friedgut, Ehud 12 Graham, Ronald Lewis 12 Jiang, Tao 12 Łuczak, Tomasz 12 Meagher, Karen 12 Nagle, Brendan 12 Sagdeev, Arsenii 11 Cameron, Peter Jephson 11 Das, Shagnik 11 Kostochka, Aleksandr Vasil’evich 11 Metsch, Klaus 11 Zhang, Huajun 11 Zhao, Cheng 10 Ahlswede, Rudolf 10 Alishahi, Meysam 10 Anstee, Richard P. 10 Dudek, Andrzej 10 Erdős, Péter L. 10 Fox, Jacob 10 Kalai, Gil 10 Liu, Jiuqiang 10 Maehara, Hiroshi 10 Polcyn, Joanna 10 Samotij, Wojciech 10 Simonovits, Miklós 10 Treglown, Andrew 10 Volkov, Mikhail Vladimirovich 10 Wang, Kaishun 10 Wong, Kok Bin 10 Wu, Biao 9 Chung, Fan 9 Ge, Gennian 9 Győri, Ervin 9 Kwan, Matthew 9 Methuku, Abhishek 9 Rónyai, Lajos 9 Serra, Oriol 9 Sidorenko, Alexander 9 Skokan, Jozef 9 Szemerédi, Endre 9 Talbot, John 9 Tang, Qingsong 8 Babai, László 8 Blokhuis, Aart 8 Bobu, Andrei V. 8 Demetrovics, János 8 Guo, Jun 8 Gyárfás, András 8 Haxell, Penny E. 8 Huang, Hao 8 Ihringer, Ferdinand 8 Keller, Nathan 8 Kiselev, Sergei 8 Koshelev, Mikhail M. 8 Kühn, Daniela 8 Kupriyanov, Aleksandr Èduardovich 8 Leck, Uwe 8 Liu, Hong 8 Liu, Xizhi 8 Long, Eoin ...and 2,088 more Authors all top 5 Cited in 235 Serials 262 Journal of Combinatorial Theory. Series A 243 Discrete Mathematics 172 European Journal of Combinatorics 99 The Electronic Journal of Combinatorics 96 Journal of Combinatorial Theory. Series B 96 Graphs and Combinatorics 88 Combinatorica 87 Discrete Applied Mathematics 63 Combinatorics, Probability and Computing 61 SIAM Journal on Discrete Mathematics 51 Random Structures & Algorithms 47 Israel Journal of Mathematics 44 Theoretical Computer Science 44 Designs, Codes and Cryptography 39 Journal of Graph Theory 27 Journal of Algebraic Combinatorics 25 Problems of Information Transmission 24 Mathematical Notes 20 Journal of Combinatorial Optimization 19 Transactions of the American Mathematical Society 19 Discrete & Computational Geometry 19 Doklady Mathematics 18 Advances in Mathematics 18 Proceedings of the American Mathematical Society 18 Linear Algebra and its Applications 15 Journal of Combinatorial Designs 13 Acta Mathematica Hungarica 12 Journal of the London Mathematical Society. Second Series 12 Moscow Journal of Combinatorics and Number Theory 12 Discrete Analysis 11 Applied Mathematics and Computation 10 Mathematika 10 Order 10 International Journal of Foundations of Computer Science 9 Annals of Combinatorics 8 Communications in Algebra 8 Information Processing Letters 8 Bulletin of the London Mathematical Society 8 Acta Mathematicae Applicatae Sinica. English Series 8 Journal of the American Mathematical Society 8 Journal of Mathematical Sciences (New York) 8 Acta Mathematica Sinica. English Series 8 Science China. Mathematics 8 Forum of Mathematics, Sigma 8 Algebraic Combinatorics 7 Journal of Computer and System Sciences 7 Information and Computation 7 The Australasian Journal of Combinatorics 7 Annals of Mathematics. Second Series 6 SIAM Journal on Computing 6 Bulletin of the Korean Mathematical Society 6 Algorithmica 6 Sbornik: Mathematics 6 Ars Mathematica Contemporanea 5 Journal of Algebra 5 Journal of Optimization Theory and Applications 5 Computational Geometry 5 Geometric and Functional Analysis. GAFA 5 Bulletin of the American Mathematical Society. New Series 5 Distributed Computing 5 Journal of the European Mathematical Society (JEMS) 5 Oberwolfach Reports 5 Optimization Letters 4 Bulletin of the Australian Mathematical Society 4 Linear and Multilinear Algebra 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 The Mathematical Intelligencer 4 Czechoslovak Mathematical Journal 4 Journal of Geometry 4 Journal of Soviet Mathematics 4 Journal of Statistical Planning and Inference 4 Advances in Applied Mathematics 4 Discussiones Mathematicae. Graph Theory 4 Theory of Computing Systems 4 The Art of Discrete and Applied Mathematics 4 Combinatorial Theory 3 Journal d’Analyse Mathématique 3 Periodica Mathematica Hungarica 3 Duke Mathematical Journal 3 Journal of Number Theory 3 Journal of Pure and Applied Algebra 3 Memoirs of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Cybernetics 3 SIAM Journal on Algebraic and Discrete Methods 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Cryptology 3 Proceedings of the National Academy of Sciences of the United States of America 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Mathematical Programming. Series A. Series B 3 Computational Complexity 3 Applied Mathematics. Series B (English Edition) 3 Finite Fields and their Applications 3 Annals of Mathematics and Artificial Intelligence 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Machine Learning Research (JMLR) 3 Journal of Algebra and its Applications 3 Contributions to Discrete Mathematics 3 Advances in Mathematics of Communications 2 Acta Mathematica Academiae Scientiarum Hungaricae ...and 135 more Serials all top 5 Cited in 46 Fields 2,004 Combinatorics (05-XX) 251 Computer science (68-XX) 173 Information and communication theory, circuits (94-XX) 118 Convex and discrete geometry (52-XX) 101 Number theory (11-XX) 100 Group theory and generalizations (20-XX) 81 Probability theory and stochastic processes (60-XX) 79 Order, lattices, ordered algebraic structures (06-XX) 77 Geometry (51-XX) 73 Operations research, mathematical programming (90-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 39 Commutative algebra (13-XX) 35 Mathematical logic and foundations (03-XX) 19 Statistics (62-XX) 12 Algebraic topology (55-XX) 11 General topology (54-XX) 11 Numerical analysis (65-XX) 10 General and overarching topics; collections (00-XX) 10 Manifolds and cell complexes (57-XX) 9 Algebraic geometry (14-XX) 9 Measure and integration (28-XX) 9 Quantum theory (81-XX) 9 Biology and other natural sciences (92-XX) 8 Real functions (26-XX) 8 Functional analysis (46-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Field theory and polynomials (12-XX) 5 Abstract harmonic analysis (43-XX) 5 Differential geometry (53-XX) 4 History and biography (01-XX) 4 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Topological groups, Lie groups (22-XX) 3 Integral transforms, operational calculus (44-XX) 3 Systems theory; control (93-XX) 2 Sequences, series, summability (40-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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