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Tverberg, Helge Arnulf

Author ID: tverberg.helge-a Recent zbMATH articles by "Tverberg, Helge Arnulf"
Published as: Tverberg, Helge; Tverberg, H.; Tverberg, Helge A.
External Links: Wikidata · ResearchGate · dblp · GND
Documents Indexed: 48 Publications since 1958
Biographic References: 5 Publications
Co-Authors: 12 Co-Authors with 7 Joint Publications
622 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 394 times in 323 Documents Cited by Year
A generalization of Radon’s theorem. Zbl 0131.20002
Tverberg, H.
134
1966
On the decomposition of \(K_ n \)into complete bipartite graphs. Zbl 0502.05048
Tverberg, H.
48
1982
Proof of Grünbaum’s conjecture on common transversals for translates. Zbl 0686.52008
Tverberg, Helge
24
1989
A generalization of Radon’s theorem. II. Zbl 0465.52002
Tverberg, H.
23
1981
On generalizations of Radon’s theorem and the Ham sandwich theorem. Zbl 0777.52005
Tverberg, Helge; Vrećica, Siniša
23
1993
Points surrounding the origin. Zbl 1199.52013
Holmsen, Andreas F.; Pach, János; Tverberg, Helge
23
2008
A proof of the Jordan curve theorem. Zbl 0432.54032
Tverberg, Helge
13
1980
A new derivation of the information function. Zbl 0089.13401
Tverberg, Helge
12
1958
On difference polynomials and hereditarily irreducible polynomials. Zbl 0435.12009
Rubel, L. A.; Schinzel, Andrzej; Tverberg, H.
11
1980
On the permanent of a bistochastic matrix. Zbl 0117.01502
Tverberg, H.
10
1963
A separation property of plane convex sets. Zbl 0421.52004
Tverberg, Helge
8
1979
On equal unions of sets. Zbl 0221.05007
Tverberg, H.
7
1971
On Dilworth’s decomposition theorem for partially ordered sets. Zbl 0153.02502
Tverberg, H.
6
1967
How to cut a convex polytope into simplices. Zbl 0288.52006
Tverberg, Helge
5
1974
A remark on Ehrenfeucht’s criterion for irreducibility of polynomials. Zbl 0125.28401
Tverberg, H.
5
1964
On the irreducibility of the trinomials \(x^n \pm x^m \pm 1\). Zbl 0097.00801
Tverberg, Helge
4
1960
On geometric permutations and the Katchalski-Lewis conjecture on partial transversals for translates. Zbl 0746.52004
Tverberg, Helge
4
1991
On Brooks’ theorem and some related results. Zbl 0512.05028
Tverberg, H.
4
1983
On the irreducibility of polynomials \(f(x)+g(y)+h(z)\). Zbl 0145.04803
Tverberg, H.
4
1966
Geometric permutations of large families of translates. Zbl 1077.52502
Asinowski, A.; Holmsen, A.; Katchalski, M.; Tverberg, H.
3
2003
A further generalization of Radon’s theorem. Zbl 0155.50001
Tverberg, H.
3
1968
A note on Toeplitz’ conjecture. Zbl 1309.51010
Pettersson, Ville H.; Tverberg, Helge A.; Östergård, Patric R. J.
3
2014
On Schmerl’s effective version of Brooks’ theorem. Zbl 0576.05022
Tverberg, Helge
3
1984
On Sinkhorn’s representation of nonnegative matrices. Zbl 0338.15011
Tverberg, Helge
2
1976
A combinatorial mathematician in Norway: Some personal reflections. Zbl 1016.01026
Tverberg, Helge
2
2001
On a coin tossing problem by G. Bennett. Zbl 0773.90108
Tverberg, Helge
2
1993
On some number-theoretic sums introduced by Jacobsthal. Zbl 1276.11011
Tverberg, Helge
2
2012
On the irreducibility of polynomials taking small values. Zbl 0269.10032
Tverberg, Helge
1
1973
On the Milner-Shelah condition for transversals. Zbl 0334.05005
Tverberg, Helge
1
1976
On a four-colour theorem. Zbl 0347.05104
Tverberg, Helge
1
1977
On a Lovász-type lemma, applied to Brooks’ theorem for list-colouring. Zbl 1223.05087
Tverberg, Helge
1
2011
On cubic factors of certain trinomials. Zbl 0513.12003
Tverberg, Helge
1
1983
Proof of Reay’s conjecture on certain positive-dimensional intersections. Zbl 0935.52004
Tverberg, Helge
1
1999
A note on Toeplitz’ conjecture. Zbl 1309.51010
Pettersson, Ville H.; Tverberg, Helge A.; Östergård, Patric R. J.
3
2014
On some number-theoretic sums introduced by Jacobsthal. Zbl 1276.11011
Tverberg, Helge
2
2012
On a Lovász-type lemma, applied to Brooks’ theorem for list-colouring. Zbl 1223.05087
Tverberg, Helge
1
2011
Points surrounding the origin. Zbl 1199.52013
Holmsen, Andreas F.; Pach, János; Tverberg, Helge
23
2008
Geometric permutations of large families of translates. Zbl 1077.52502
Asinowski, A.; Holmsen, A.; Katchalski, M.; Tverberg, H.
3
2003
A combinatorial mathematician in Norway: Some personal reflections. Zbl 1016.01026
Tverberg, Helge
2
2001
Proof of Reay’s conjecture on certain positive-dimensional intersections. Zbl 0935.52004
Tverberg, Helge
1
1999
On generalizations of Radon’s theorem and the Ham sandwich theorem. Zbl 0777.52005
Tverberg, Helge; Vrećica, Siniša
23
1993
On a coin tossing problem by G. Bennett. Zbl 0773.90108
Tverberg, Helge
2
1993
On geometric permutations and the Katchalski-Lewis conjecture on partial transversals for translates. Zbl 0746.52004
Tverberg, Helge
4
1991
Proof of Grünbaum’s conjecture on common transversals for translates. Zbl 0686.52008
Tverberg, Helge
24
1989
On Schmerl’s effective version of Brooks’ theorem. Zbl 0576.05022
Tverberg, Helge
3
1984
On Brooks’ theorem and some related results. Zbl 0512.05028
Tverberg, H.
4
1983
On cubic factors of certain trinomials. Zbl 0513.12003
Tverberg, Helge
1
1983
On the decomposition of \(K_ n \)into complete bipartite graphs. Zbl 0502.05048
Tverberg, H.
48
1982
A generalization of Radon’s theorem. II. Zbl 0465.52002
Tverberg, H.
23
1981
A proof of the Jordan curve theorem. Zbl 0432.54032
Tverberg, Helge
13
1980
On difference polynomials and hereditarily irreducible polynomials. Zbl 0435.12009
Rubel, L. A.; Schinzel, Andrzej; Tverberg, H.
11
1980
A separation property of plane convex sets. Zbl 0421.52004
Tverberg, Helge
8
1979
On a four-colour theorem. Zbl 0347.05104
Tverberg, Helge
1
1977
On Sinkhorn’s representation of nonnegative matrices. Zbl 0338.15011
Tverberg, Helge
2
1976
On the Milner-Shelah condition for transversals. Zbl 0334.05005
Tverberg, Helge
1
1976
How to cut a convex polytope into simplices. Zbl 0288.52006
Tverberg, Helge
5
1974
On the irreducibility of polynomials taking small values. Zbl 0269.10032
Tverberg, Helge
1
1973
On equal unions of sets. Zbl 0221.05007
Tverberg, H.
7
1971
A further generalization of Radon’s theorem. Zbl 0155.50001
Tverberg, H.
3
1968
On Dilworth’s decomposition theorem for partially ordered sets. Zbl 0153.02502
Tverberg, H.
6
1967
A generalization of Radon’s theorem. Zbl 0131.20002
Tverberg, H.
134
1966
On the irreducibility of polynomials \(f(x)+g(y)+h(z)\). Zbl 0145.04803
Tverberg, H.
4
1966
A remark on Ehrenfeucht’s criterion for irreducibility of polynomials. Zbl 0125.28401
Tverberg, H.
5
1964
On the permanent of a bistochastic matrix. Zbl 0117.01502
Tverberg, H.
10
1963
On the irreducibility of the trinomials \(x^n \pm x^m \pm 1\). Zbl 0097.00801
Tverberg, Helge
4
1960
A new derivation of the information function. Zbl 0089.13401
Tverberg, Helge
12
1958
all top 5

Cited by 431 Authors

16 Soberón, Pablo
15 Bárány, Imre
9 Alon, Noga
9 Goaoc, Xavier
8 Holmsen, Andreas F.
7 Blagojević, Pavle V. M.
7 De Loera, Jesús A.
7 Karasev, Roman N.
7 Ziegler, Günter Matthias
7 Živaljević, Rade T.
6 Frick, Florian
6 Matschke, Benjamin
6 Roldán-Pensado, Edgardo
5 Roudneff, Jean-Pierre
5 Vrećica, Siniša T.
4 Cheong, Otfried
4 McMullen, Peter
4 Meunier, Frédéric
4 Mulzer, Wolfgang Johann Heinrich
4 Mustafa, Nabil Hassan
3 Aharoni, Ron
3 Bisztriczky, Tibor
3 Briggs, Joseph
3 Hell, Stephan
3 Hogan, Thomas A.
3 Huemer, Clemens
3 Kalai, Gil
3 Kannappan, Palaniappan
3 Kleitman, Daniel J.
3 Li, Chi-Kwong
3 Oliveros, Deborah
3 Perles, Micha A.
3 Poon, Yiu-Tung
3 Reay, John R.
3 Rolnick, David
3 Shader, Bryan L.
3 Sierksma, Gerard
3 Tverberg, Helge Arnulf
3 Urrutia Galicia, Jorge L.
3 Vishwanathan, Sundar
3 Wagner, Uli
3 West, Douglas Brent
2 Amenta, Nina
2 Angermüller, Gerhard
2 Babu, Anand
2 Bereg, Sergey N.
2 Bergold, Helena
2 Böröczky, Karoly jun.
2 Bracho, Javier
2 Cioabă, Sebastian M.
2 Dourado, Mitre Costa
2 Duginov, Oleg Ivanovich
2 Engström, Alexander
2 Felsner, Stefan
2 Filaseta, Michael A.
2 Fried, Michael David
2 Friedland, Shmuel
2 Furedi, Zoltan
2 Garcia-Colin, Natalia
2 Gregory, David Allan
2 Győry, Kálmán
2 Haghpanah, Mohammadreza
2 Hajdu, Lajos
2 Heppes, Aladár
2 Huang, Hao
2 Hwang, Suk-Geun
2 Jerónimo-Castro, Jesús
2 Katchalski, Meir
2 Kim, Jaehoon
2 Kim, Jinha
2 Kopotun, Kirill A.
2 Kündgen, André
2 La Haye, Reuben N.
2 Lau, Pan-Shun
2 Leader, Imre
2 Lee, Seunghun
2 Lepin, V. V.
2 Martinez-Sandoval, Leonardo
2 Nathanson, Melvyn Bernard
2 Novick, Mordechai
2 Pach, János
2 Palisse, Renaud
2 Peng, Xing
2 Pérez-Lantero, Pablo
2 Polyanskiĭ, Aleksandr Andreevich
2 Rabern, Landon
2 Reznick, Bruce
2 Rubin, Natan
2 Sarkar, Sherry
2 Sarkaria, Karanbir Singh
2 Schauz, Uwe
2 Scheucher, Manfred
2 Schröder, Felix
2 Schwartz, Richard Evan
2 Setiabrata, Linus
2 Sigron, Moriah
2 Simon, Steven
2 Stein, Yannik
2 Steiner, Raphael
2 Strausz, Ricardo
...and 331 more Authors
all top 5

Cited in 99 Serials

48 Discrete & Computational Geometry
26 Discrete Mathematics
15 Journal of Combinatorial Theory. Series A
13 Israel Journal of Mathematics
11 European Journal of Combinatorics
8 Discrete Applied Mathematics
8 Combinatorica
7 Journal of Combinatorial Theory. Series B
7 Computational Geometry
7 Linear Algebra and its Applications
6 Advances in Mathematics
6 Bulletin of the London Mathematical Society
6 Mathematika
6 Bulletin of the American Mathematical Society. New Series
6 The Electronic Journal of Combinatorics
5 Linear and Multilinear Algebra
5 Proceedings of the American Mathematical Society
5 Graphs and Combinatorics
4 Transactions of the American Mathematical Society
4 Combinatorics, Probability and Computing
3 Mathematical Notes
3 Periodica Mathematica Hungarica
3 Archiv der Mathematik
3 Journal of Number Theory
3 Topology and its Applications
3 Acta Mathematica Hungarica
2 Bulletin of the Australian Mathematical Society
2 Communications in Algebra
2 Journal of Algebra
2 Journal of Geometry
2 Journal of Graph Theory
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Aequationes Mathematicae
2 Journal of Mathematical Sciences (New York)
2 Journal of the European Mathematical Society (JEMS)
2 Trudy Instituta Matematiki
2 The Art of Discrete and Applied Mathematics
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Metrika
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Annales de l’Institut Fourier
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Manuscripta Mathematica
1 Pacific Journal of Mathematics
1 SIAM Journal on Computing
1 Tôhoku Mathematical Journal. Second Series
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Advances in Applied Mathematics
1 Journal of Information & Optimization Sciences
1 Annals of Pure and Applied Logic
1 Journal of Symbolic Computation
1 Constructive Approximation
1 Applied Mathematics Letters
1 SIAM Journal on Discrete Mathematics
1 International Journal of Computational Geometry & Applications
1 Expositiones Mathematicae
1 Distributed Computing
1 Archive for Mathematical Logic
1 The Australasian Journal of Combinatorics
1 Journal of Mathematical Imaging and Vision
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 SIAM Journal on Scientific Computing
1 Applied Mathematics. Series B (English Edition)
1 Journal de Théorie des Nombres de Bordeaux
1 St. Petersburg Mathematical Journal
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discussiones Mathematicae. Graph Theory
1 Annals of Combinatorics
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Journal of Integer Sequences
1 Physical Review Letters
1 JP Journal of Algebra, Number Theory and Applications
1 Journal of Discrete Algorithms
1 Kodai Mathematical Seminar Reports
1 Complex Variables and Elliptic Equations
1 Journal of Fixed Point Theory and Applications
1 Journal of Mathematical Inequalities
1 Journal of Topology and Analysis
1 Revista Brasileira de História da Matemática
1 Discrete Mathematics, Algorithms and Applications
1 Science China. Mathematics
1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
1 Numerical Algebra, Control and Optimization
1 Forum of Mathematics, Sigma
1 Journal of Discrete Mathematics
1 Journal of Function Spaces
1 Advances in Operator Theory
1 Foundations of Data Science
1 SIAM Journal on Mathematics of Data Science
all top 5

Cited in 39 Fields

155 Convex and discrete geometry (52-XX)
125 Combinatorics (05-XX)
27 Computer science (68-XX)
21 Algebraic topology (55-XX)
18 Number theory (11-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
13 Information and communication theory, circuits (94-XX)
11 Geometry (51-XX)
10 Field theory and polynomials (12-XX)
10 Manifolds and cell complexes (57-XX)
8 Algebraic geometry (14-XX)
7 Mathematical logic and foundations (03-XX)
6 History and biography (01-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Difference and functional equations (39-XX)
6 Operations research, mathematical programming (90-XX)
5 Real functions (26-XX)
5 Quantum theory (81-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Commutative algebra (13-XX)
4 Differential geometry (53-XX)
4 General topology (54-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
3 Numerical analysis (65-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
1 Category theory; homological algebra (18-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)

Citations by Year

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