Compute Distance To:
 Documents Indexed: 129 Publications since 1931, including 1 Book 1 Contribution as Editor Biographic References: 5 Publications Co-Authors: 19 Co-Authors with 31 Joint Publications 771 Co-Co-Authors
all top 5

### Co-Authors

 99 single-authored 17 Erdős, Pál 4 Milner, Eric Charles 3 Hajnal, András 2 Hilton, Anthony J. W. 2 Klarner, David Anthony 2 Scott, Sidney H. 1 Artzner, Philippe 1 Berge, Claude Jacques Roger 1 Besicovitch, Abram S. 1 Cremer, Hubert 1 Galvin, Fred 1 Harrop, Ronald 1 Ke, Zhao 1 Máté, Attila 1 Mirsky, Leon 1 Neumann, Bernhard Hermann 1 Sós, Vera Turán 1 Toeplitz, Otto 1 Wilkie, Alex James
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### Serials

 38 Journal of the London Mathematical Society 9 The Quarterly Journal of Mathematics. Oxford Series 8 Proceedings of the London Mathematical Society. Second Series 5 Journal of the London Mathematical Society. Second Series 3 Mathematische Zeitschrift 3 Proceedings of the London Mathematical Society. Third Series 3 The Quarterly Journal of Mathematics. Oxford Second Series 2 American Mathematical Monthly 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Arithmetica 2 Bayerische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte 2 Bulletin of the London Mathematical Society 2 Journal of Combinatorial Theory. Series B 2 Philosophical Transactions of the Royal Society of London. Ser. A 2 Combinatorica 2 Erkenntnis 2 Journal of the Australian Mathematical Society 2 Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of Combinatorial Theory. Series A 1 Mathematika 1 Nanta Mathematica 1 Pacific Journal of Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Annals of Mathematics. Second Series 1 Proceedings of the Cambridge Philosophical Society 1 Bulletin of the American Mathematical Society 1 Colloquia Mathematica Societatis János Bolyai 1 Studies in Logic and the Foundations of Mathematics 1 Semesterberichte zur Pflege des Zusammenhangs von Universität und Schule aus den Mathematischen Seminaren
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### Fields

 43 Combinatorics (05-XX) 32 Mathematical logic and foundations (03-XX) 8 Number theory (11-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Measure and integration (28-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

72 Publications have been cited 2,158 times in 1,873 Documents Cited by Year
Intersection theorems for systems of finite sets. Zbl 0100.01902
Erdős, Pál; Ko, Chao; Rado, R.
1961
A partition calculus in set theory. Zbl 0071.05105
1956
Intersection theorems for systems of sets. Zbl 0103.27901
1960
Studien zur Kombinatorik. Zbl 0006.14603
1933
Partition relations for cardinal numbers. Zbl 0158.26603
Erdős, Pál; Hajnal, András; Rado, R.
1965
Combinatorial set theory: Partition relations for cardinals. Zbl 0573.03019
Erdős, Paul; Hajnal, András; Máté, Attila; Rado, Richard
1984
Universal graphs and universal functions. Zbl 0139.17303
1964
Combinatorial theorems on classifications of subsets of a given set. Zbl 0048.28203
1952
A combinatorial theorem. Zbl 0038.15301
1950
An inequality. Zbl 0047.29701
1952
Note on independence functions. Zbl 0083.02302
1957
A theorem on independence relations. Zbl 0063.06369
1942
Note on combinatorial analysis. Zbl 0028.33801
1943
A theorem on general measure. Zbl 0061.09606
1947
Axiomatic treatment of rank in infinite sets. Zbl 0033.25302
1949
Partial well-ordering of sets of vectors. Zbl 0057.04302
1954
A $$(<5)$$-colour theorem for planar graphs. Zbl 0278.05103
Hilton, A. J. W.; Rado, R.; Scott, S. H.
1973
Note on the transfinite case of Hall’s theorem on representatives. Zbl 0159.01803
1967
Monochromatic paths in graphs. Zbl 0388.05031
1978
Factorization of even graphs. Zbl 0032.31601
1949
Intersection theorems for systems of sets. II. Zbl 0172.29601
1969
A construction of graphs without triangles having preassigned order and chromatic number. Zbl 0097.16402
1960
The pigeon-hole principle for ordinal numbers. Zbl 0145.24501
1965
A plane set of measure zero containing circumferences of every radius. Zbl 0172.32902
1968
A problem on ordered sets. Zbl 0051.04003
1953
Note on generalized inverses of matrices. Zbl 0071.24702
1956
Abstract linear dependence. Zbl 0136.26203
1966
Note on isomorphic hypergraphs and some extensions of Whitney’s theorem to families of sets. Zbl 0275.05128
1972
A combinatorial theorem on vector spaces. Zbl 0106.01203
1962
A theorem on general measure functions. Zbl 0019.05501
1938
The cardinal module and some theorems on families of sets. Zbl 0304.04002
1975
On the number of systems of distinct representatives of sets. Zbl 0147.26702
1967
A selection lemma. Zbl 0227.04002
1971
Partition relations and transitivity domains of binary relations. Zbl 0204.00905
1967
Arithmetic properties of certain recursively defined sets. Zbl 0321.05004
1974
Some covering theorems (I). Zbl 0040.25103
1949
Direct decomposition of partitions. Zbl 0055.04903
1954
Note on canonical partitions. Zbl 0584.05006
1986
Intersection theorems for systems of sets. III. Zbl 0331.04002
Erdős, Paul; Milner, E. C.; Rado, R.
1974
Multicolouring graphs and hypergraphs. Zbl 0395.05036
Hilton, A. J. W.; Rado, R.; Scott, S. H.
1976
A theorem on chains of finite sets. II. Zbl 0227.05006
1971
Some recent results in combinatorial analysis. JFM 63.0040.02
1937
A theorem on the geometry of numbers. Zbl 0060.11502
1946
Theorems on linear combinatorial topology and general measure. Zbl 0061.09702
1943
Partition relations connected with the chromatic number of graphs. Zbl 0084.19701
1959
A theorem on partial well-ordering of sets of vectors. Zbl 0085.03802
1959
A theorem on infinite series. Zbl 0098.26703
1960
Some elementary Tauberian theorems. I. Zbl 0020.01704
1938
Verallgemeinerung eines Satzes von van der Waerden mit Anwendungen auf ein Problem der Zahlentheorie. Zbl 0007.19801
1933
Covering theorems for ordered sets. Zbl 0032.14803
1949
Some covering theorems. II. Zbl 0054.06904
1951
Some covering theorems. III. Zbl 0157.52701
1968
Weak versions of Ramsey’s theorem. Zbl 0382.05042
1977
Some partition theorems. Zbl 0216.29804
1970
A theorem on chains of finite sets. Zbl 0145.24502
1967
Bemerkungen zur Kombinatorik im Anschluß an Untersuchungen von Herrn D. König. JFM 59.0105.07
1933
Studien zur Kombinatorik. JFM 59.0896.13
1934
Verallgemeinerung eines Satzes von der Waerden mit Anwendungen auf ein Problem der Zahlentheorie. JFM 59.0898.01
1933
Atoms of families of sets. Zbl 0509.05004
1982
Theorems on intervals of ordered sets. Zbl 0463.06001
1981
Partition relations for $$\eta_\alpha$$-sets. Zbl 0212.02204
Erdős, Paul; Milner, E. C.; Rado, R.
1971
A new proof of a theorem of v. Staudt. JFM 60.0115.02
1934
A note on matrix polynomials. Zbl 0077.24403
1957
A new proof of a theorem of Hardy and Littlewood. Zbl 0014.01105
1936
Selective families of sets. Zbl 0471.04007
1980
Linear combinations of sets of consecutive integers. Zbl 0278.10014
1973
Infinite and finite sets. To Paul Erdős on his 60th birthday. Vols. I, II, III. Zbl 0293.00009
1975
A proof of Minkowski’s theorem on homogeneous linear forms. Zbl 0009.24501
1934
Some elementary Tauberian theorems. I. JFM 64.0177.02
1938
A theorem on general measure functions. JFM 64.0191.01
1938
A sequence of polyhedra having intersections of specified dimensions. Zbl 0030.26502
1947
Theorems on the intersection of convex sets of points. Zbl 0047.15703
1952
Note on canonical partitions. Zbl 0584.05006
1986
Combinatorial set theory: Partition relations for cardinals. Zbl 0573.03019
Erdős, Paul; Hajnal, András; Máté, Attila; Rado, Richard
1984
Atoms of families of sets. Zbl 0509.05004
1982
Theorems on intervals of ordered sets. Zbl 0463.06001
1981
Selective families of sets. Zbl 0471.04007
1980
Monochromatic paths in graphs. Zbl 0388.05031
1978
Weak versions of Ramsey’s theorem. Zbl 0382.05042
1977
Multicolouring graphs and hypergraphs. Zbl 0395.05036
Hilton, A. J. W.; Rado, R.; Scott, S. H.
1976
The cardinal module and some theorems on families of sets. Zbl 0304.04002
1975
Infinite and finite sets. To Paul Erdős on his 60th birthday. Vols. I, II, III. Zbl 0293.00009
1975
Arithmetic properties of certain recursively defined sets. Zbl 0321.05004
1974
Intersection theorems for systems of sets. III. Zbl 0331.04002
Erdős, Paul; Milner, E. C.; Rado, R.
1974
A $$(<5)$$-colour theorem for planar graphs. Zbl 0278.05103
Hilton, A. J. W.; Rado, R.; Scott, S. H.
1973
Linear combinations of sets of consecutive integers. Zbl 0278.10014
1973
Note on isomorphic hypergraphs and some extensions of Whitney’s theorem to families of sets. Zbl 0275.05128
1972
A selection lemma. Zbl 0227.04002
1971
A theorem on chains of finite sets. II. Zbl 0227.05006
1971
Partition relations for $$\eta_\alpha$$-sets. Zbl 0212.02204
Erdős, Paul; Milner, E. C.; Rado, R.
1971
Some partition theorems. Zbl 0216.29804
1970
Intersection theorems for systems of sets. II. Zbl 0172.29601
1969
A plane set of measure zero containing circumferences of every radius. Zbl 0172.32902
1968
Some covering theorems. III. Zbl 0157.52701
1968
Note on the transfinite case of Hall’s theorem on representatives. Zbl 0159.01803
1967
On the number of systems of distinct representatives of sets. Zbl 0147.26702
1967
Partition relations and transitivity domains of binary relations. Zbl 0204.00905
1967
A theorem on chains of finite sets. Zbl 0145.24502
1967
Abstract linear dependence. Zbl 0136.26203
1966
Partition relations for cardinal numbers. Zbl 0158.26603
Erdős, Pál; Hajnal, András; Rado, R.
1965
The pigeon-hole principle for ordinal numbers. Zbl 0145.24501
1965
Universal graphs and universal functions. Zbl 0139.17303
1964
A combinatorial theorem on vector spaces. Zbl 0106.01203
1962
Intersection theorems for systems of finite sets. Zbl 0100.01902
Erdős, Pál; Ko, Chao; Rado, R.
1961
Intersection theorems for systems of sets. Zbl 0103.27901
1960
A construction of graphs without triangles having preassigned order and chromatic number. Zbl 0097.16402
1960
A theorem on infinite series. Zbl 0098.26703
1960
Partition relations connected with the chromatic number of graphs. Zbl 0084.19701
1959
A theorem on partial well-ordering of sets of vectors. Zbl 0085.03802
1959
Note on independence functions. Zbl 0083.02302
1957
A note on matrix polynomials. Zbl 0077.24403
1957
A partition calculus in set theory. Zbl 0071.05105
1956
Note on generalized inverses of matrices. Zbl 0071.24702
1956
Partial well-ordering of sets of vectors. Zbl 0057.04302
1954
Direct decomposition of partitions. Zbl 0055.04903
1954
A problem on ordered sets. Zbl 0051.04003
1953
Combinatorial theorems on classifications of subsets of a given set. Zbl 0048.28203
1952
An inequality. Zbl 0047.29701
1952
Theorems on the intersection of convex sets of points. Zbl 0047.15703
1952
Some covering theorems. II. Zbl 0054.06904
1951
A combinatorial theorem. Zbl 0038.15301
1950
Axiomatic treatment of rank in infinite sets. Zbl 0033.25302
1949
Factorization of even graphs. Zbl 0032.31601
1949
Some covering theorems (I). Zbl 0040.25103
1949
Covering theorems for ordered sets. Zbl 0032.14803
1949
A theorem on general measure. Zbl 0061.09606
1947
A sequence of polyhedra having intersections of specified dimensions. Zbl 0030.26502
1947
A theorem on the geometry of numbers. Zbl 0060.11502
1946
Note on combinatorial analysis. Zbl 0028.33801
1943
Theorems on linear combinatorial topology and general measure. Zbl 0061.09702
1943
A theorem on independence relations. Zbl 0063.06369
1942
A theorem on general measure functions. Zbl 0019.05501
1938
Some elementary Tauberian theorems. I. Zbl 0020.01704
1938
Some elementary Tauberian theorems. I. JFM 64.0177.02
1938
A theorem on general measure functions. JFM 64.0191.01
1938
Some recent results in combinatorial analysis. JFM 63.0040.02
1937
A new proof of a theorem of Hardy and Littlewood. Zbl 0014.01105
1936
Studien zur Kombinatorik. JFM 59.0896.13
1934
A new proof of a theorem of v. Staudt. JFM 60.0115.02
1934
A proof of Minkowski’s theorem on homogeneous linear forms. Zbl 0009.24501
1934
Studien zur Kombinatorik. Zbl 0006.14603
1933
Verallgemeinerung eines Satzes von van der Waerden mit Anwendungen auf ein Problem der Zahlentheorie. Zbl 0007.19801
1933
Bemerkungen zur Kombinatorik im Anschluß an Untersuchungen von Herrn D. König. JFM 59.0105.07
1933
Verallgemeinerung eines Satzes von der Waerden mit Anwendungen auf ein Problem der Zahlentheorie. JFM 59.0898.01
1933
all top 5

### Cited by 1,830 Authors

 110 Frankl, Péter 55 Shelah, Saharon 38 Erdős, Pál 35 Rodl, Vojtech 34 Furedi, Zoltan 29 Hindman, Neil 27 Mubayi, Dhruv 26 Borg, Peter 26 Sudakov, Benny 25 Hajnal, András 23 Tokushige, Norihide 22 Komjáth, Péter 21 Kupavskii, Andrey 19 Leader, Imre 19 Todorcevic, Stevo B. 17 Alon, Noga M. 17 Lefmann, Hanno 15 Meagher, Karen 15 Milner, Eric Charles 13 Fox, Jacob 13 Graham, Ronald Lewis 12 Bergelson, Vitaly 12 Katona, Gyula O. H. 12 Pach, János 12 Prömel, Hans Jürgen 11 Voigt, Bernd 10 Garti, Shimon 10 Strauss, Dona 9 Conlon, David 9 Das, Shagnik 9 Deuber, Walter A. 9 Di Prisco, Carlos Augusto 9 Mirsky, Leon 9 Nešetřil, Jaroslav 9 Wang, Kaishun 8 Abbott, Harvey Leslie 8 Bollobás, Béla 8 Cameron, Peter Jephson 8 Ihringer, Ferdinand 8 Kleitman, Daniel J. 8 Kohayakawa, Yoshiharu 8 Liu, Jiuqiang 8 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 8 Revuelta, M. Pastora 8 Sanz Domínguez, María Isabel 8 Scheepers, Marion 8 Suk, Andrew 8 Verstraëte, Jacques 7 Ahlswede, Rudolf 7 Balogh, József 7 Baumgartner, James Earl 7 Boza, L. 7 Diestel, Reinhard 7 Eliahou, Shalom 7 Jones, Albin L. 7 Keevash, Peter 7 Kostochka, Aleksandr Vasil’evich 7 Ku, Cheng Yeaw 7 Lv, Benjian 7 Metsch, Klaus 7 Narayanan, Bhargav P. 7 Niezgoda, Marek 7 Rado, Richard 7 Rothschild, Bruce L. 7 Schmerl, James H. 7 Wang, Jun 7 Zhang, Huajun 6 Dobrinen, Natasha L. 6 Feghali, Carl 6 Friedgut, Ehud 6 Guo, Jun 6 Jiang, Tao 6 Matet, Pierre 6 Patkós, Balázs 6 Polcyn, Joanna 6 Prikry, Karel 6 Schaal, Daniel J. 6 Zhao, Yi 5 Adhikari, Sukumar Das 5 Aharoni, Ron 5 Aigner, Martin 5 De Boeck, Maarten 5 Deza, Michel Marie 5 Džamonja, Mirna 5 Eisworth, Todd 5 Ellis, David Christopher 5 Galvin, Fred 5 Hilton, Anthony J. W. 5 Hoppen, Carlos 5 Huang, Hao 5 Hurlbert, Glenn H. 5 Kahn, Jeff D. 5 Kamat, Vikram 5 Kanamori, Akihiro 5 Karasev, Roman N. 5 Khachatrian, Levon H. 5 Körner, János 5 Larson, Jean A. 5 Lehel, Jeno 5 Montejano Peimbert, Luis ...and 1,730 more Authors
all top 5

### Cited in 250 Serials

 228 Discrete Mathematics 217 Journal of Combinatorial Theory. Series A 107 European Journal of Combinatorics 67 Journal of Combinatorial Theory. Series B 56 Combinatorica 49 Israel Journal of Mathematics 46 Discrete Applied Mathematics 46 Transactions of the American Mathematical Society 45 Proceedings of the American Mathematical Society 45 Graphs and Combinatorics 44 The Electronic Journal of Combinatorics 43 The Journal of Symbolic Logic 30 Combinatorics, Probability and Computing 26 Annals of Pure and Applied Logic 26 Linear Algebra and its Applications 25 Advances in Mathematics 24 Topology and its Applications 21 Acta Mathematica Academiae Scientiarum Hungaricae 19 SIAM Journal on Discrete Mathematics 17 Discrete & Computational Geometry 16 Algebra Universalis 16 Order 15 Theoretical Computer Science 15 Acta Mathematica Hungarica 15 Archive for Mathematical Logic 13 Journal of Mathematical Analysis and Applications 13 Journal of Graph Theory 12 Mathematika 11 Periodica Mathematica Hungarica 11 Advances in Applied Mathematics 9 Journal of Computer and System Sciences 9 Algorithmica 9 Random Structures & Algorithms 8 Archiv der Mathematik 8 Journal of Algebra 8 Designs, Codes and Cryptography 8 Journal of Combinatorial Optimization 7 Bulletin of the Australian Mathematical Society 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Algebraic Combinatorics 7 The Bulletin of Symbolic Logic 6 Mathematical Notes 6 Mathematische Annalen 6 SIAM Journal on Algebraic and Discrete Methods 6 Mathematical Programming. Series A. Series B 6 Annals of Combinatorics 6 Integers 6 Bulletin of the American Mathematical Society 5 Information Processing Letters 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Information and Computation 5 Journal of the American Mathematical Society 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Fundamenta Mathematicae 4 Journal of Number Theory 4 Notre Dame Journal of Formal Logic 4 Semigroup Forum 4 Studies in Applied Mathematics 4 Operations Research Letters 4 Acta Mathematicae Applicatae Sinica. English Series 4 Computational Complexity 4 Journal of Mathematical Sciences (New York) 4 Discussiones Mathematicae. Graph Theory 4 Journal of the European Mathematical Society (JEMS) 4 Journal of Mathematical Logic 4 Moscow Journal of Combinatorics and Number Theory 4 Algebraic Combinatorics 3 Journal d’Analyse Mathématique 3 Linear and Multilinear Algebra 3 Annales de l’Institut Fourier 3 Czechoslovak Mathematical Journal 3 Duke Mathematical Journal 3 Journal of Economic Theory 3 Mathematica Slovaca 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Mathematical Social Sciences 3 History and Philosophy of Logic 3 Journal of Symbolic Computation 3 Computational Geometry 3 Aequationes Mathematicae 3 The Australasian Journal of Combinatorics 3 Experimental Mathematics 3 Journal of Combinatorial Designs 3 Doklady Mathematics 3 Positivity 3 Acta Mathematica Sinica. English Series 3 Journal of Algebra and its Applications 3 Discrete Optimization 3 Science China. Mathematics 2 American Mathematical Monthly 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 The Mathematical Intelligencer 2 Acta Mathematica ...and 150 more Serials
all top 5

### Cited in 50 Fields

 1,301 Combinatorics (05-XX) 367 Mathematical logic and foundations (03-XX) 115 Computer science (68-XX) 111 Convex and discrete geometry (52-XX) 109 Number theory (11-XX) 98 Order, lattices, ordered algebraic structures (06-XX) 69 General topology (54-XX) 66 Group theory and generalizations (20-XX) 58 Linear and multilinear algebra; matrix theory (15-XX) 56 Operations research, mathematical programming (90-XX) 44 Geometry (51-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Information and communication theory, circuits (94-XX) 26 General algebraic systems (08-XX) 26 Probability theory and stochastic processes (60-XX) 21 Commutative algebra (13-XX) 20 Measure and integration (28-XX) 20 Functional analysis (46-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 History and biography (01-XX) 14 Numerical analysis (65-XX) 13 Algebraic geometry (14-XX) 13 Topological groups, Lie groups (22-XX) 13 Real functions (26-XX) 11 Statistics (62-XX) 9 Category theory; homological algebra (18-XX) 9 Algebraic topology (55-XX) 8 Associative rings and algebras (16-XX) 7 Partial differential equations (35-XX) 7 Abstract harmonic analysis (43-XX) 7 Manifolds and cell complexes (57-XX) 6 Field theory and polynomials (12-XX) 6 Operator theory (47-XX) 5 General and overarching topics; collections (00-XX) 5 Sequences, series, summability (40-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Systems theory; control (93-XX) 3 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX)

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