Helge Tverberg's papers

We list below the papers by Helge Tverberg that we have been able to find. We would be happy to add further papers if anyone lets us know.


  1. Helge Tverberg, On two inequalities by S Selberg, Math. Scand. (1958), 308-310.

  2. Helge Tverberg, A new derivation of the information function, Math. Scand. (1958), 297-298.

  3. Helge Tverberg, On the irreducibility of the trinomials xn ± xm ± 1, Math. Scand. (1960), 121-126.

  4. Helge Tverberg, On the permanent of a bistochastic matrix, Math. Scand. 12 (1963), 25-35.

  5. Helge Tverberg, A remark on Ehrenfeucht's criterion for irreducibility of polynomials, Prace Mat. (1963/1964), 117-118.

  6. Helge Tverberg, A generalization of Radon's theorem, J. London Math. Soc. 41 (1966), 123-128.

  7. Helge Tverberg, On the irreducibility of polynomials f(x) + g(y) + h(z), Quart. J. Math. Oxford Ser. (2) 17 (1966), 364-366.

  8. Helge Tverberg, On Dilworth's decomposition theorem for partially ordered sets, J. Combinatorial Theory (1967), 305-306.

  9. Helge Tverberg, Further generalization of Radon's theorem, J. London Math. Soc. 43 (1968), 352-354.

  10. Helge Tverberg, On equal unions of sets, in L Mirsky (ed.), Studies in Pure Mathematics (Presented to Richard Rado on the Occasion of his Sixty-fifth birthday) (Academic Press, London, 1971), 249-250.

  11. Shmuel Schreiber, Helge Tverberg, T E Elsner, C H Kimberling and R Shantaram, Problems and Solutions: Advanced Problems: 5872-5877, Amer. Math. Monthly 79 (8) (1972), 913-914.

  12. Helge Tverberg, On the irreducibility of polynomials taking small values, Math. Scand. 32 (1973), 5-21.

  13. Helge Tverberg and D Z Djokovic, Problems and Solutions: Solutions of Advanced Problems: 5873, Amer. Math. Monthly 80 (10) (1973), 1151. 

  14. Helge Tverberg, How to cut a convex polytope into simplices, Geometriae Dedicata (1974), 239-240.

  15. Helge Tverberg, On Sinkhorn's representation of nonnegative matrices, J. Math. Anal. Appl. 54 (3) (1976), 674-677.

  16. Helge Tverberg, On a four-colour theorem, Math. Scand. 39 (2) (1976), 267-270.

  17. Helge Tverberg, On the Milner-Shelah condition for transversals, J. London Math. Soc. (2) 13 (3) (1976), 520-524.

  18. Helge Tverberg, Squaring the square and other combinatorial geometry. I (Norwegian), Normat No. 1 (1979), 21-26; 48.

  19. Helge Tverberg, Squaring the square and other combinatorial geometry. II (Norwegian), Normat No. 2 (1979), 68-75; 87-88.

  20. Helge Tverberg, A separation property of plane convex sets, Math. Scand. 45 (2) (1979), 255-260.

  21. Helge Tverberg, A proof of the Jordan curve theorem, Bull. London Math. Soc. 12 (1) (1980), 34-38.

  22. L A Rubel, A Schinzel and H Tverberg, On difference polynomials and hereditarily irreducible polynomials, J. Number Theory 12 (2) (1980), 230-235.

  23. Helge Tverberg, A generalization of Radon's theorem. II, Bull. Austral. Math. Soc. 24 (3) (1981), 321-325.

  24. Helge Tverberg, On the decomposition of Kn into complete bipartite graphs, J. Graph Theory (4) (1982), 493-494.

  25. Helge Tverberg, On Brooks' theorem and some related results, Math. Scand. 52 (1) (1983), 37-40.

  26. Helge Tverberg, On cubic factors of certain trinomials, Math. Scand. 53 (2) (1983), 178-184.

  27. Helge Tverberg, On Schmerl's effective version of Brooks' theorem, J. Combin. Theory Ser. B 37 (1) (1984), 27-30.

  28. Helge Tverberg, Proof of Grünbaum's conjecture on common transversals for translates, Discrete Comput. Geom. 4 (3) (1989), 191-203.

  29. Helge Tverberg, A proof of Kuratowski's theorem, in L D Andersen, I V Jakobsen, C Thomassen, B Toft, and P D Vestergaard (eds.), Graph theory in memory of G A Dirac, Sandbjerg, 1985, Ann. Discrete Math. 41 (North-Holland, Amsterdam, 1989), 417-419.

  30. Helge Tverberg, On geometric permutations and the Katchalski-Lewis conjecture on partial transversals for translates, in Discrete and computational geometry, New Brunswick, NJ, 1989/1990, DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 6 (Amer. Math. Soc., Providence, RI, 1991), 351-361.

  31. Helge Tverberg and Siniša  Vrećica, On generalizations of Radon's theorem and the ham sandwich theorem, European J. Combin. 14 (3) (1993), 259-264.

  32. Helge Tverberg, On a coin tossing problem by G Bennett, Discrete Math. 115 (1-3) (1993), 293-294.

  33. Helge Tverberg, On the finitization of Eckhoff's conjecture, in Jerusalem combinatorics '93, Contemp. Math. 178 (Amer. Math. Soc., Providence, RI, 1994), 319-324.

  34. Helge Tverberg, 23(+1): Coincidence of birth dates of Prime Ministers, Newsletter of the Statistical Society of Australia 72 (1995), 16.

  35. Helge Tverberg, Om Cadillacer, fødselsdatoer, geiter og statsministre, Tangenten 7 (1996), 43-47.

  36. Helge Tverberg, Proof of Reay's conjecture on certain positive-dimensional intersections, in B Chazelle, J E Goodman and R Pollack (eds.), Advances in discrete and computational geometry, South Hadley, MA, 1996, Contemp. Math. 223 (Amer. Math. Soc., Providence, RI, 1999), 369-374.

  37. Helge Tverberg, A combinatorial mathematician in Norway: some personal reflections. Selected papers in honor of Helge Tverberg, Discrete Math. 241 (1-3) (2001), 11-22.

  38. A Asinowski, A Holmsen, M Katchalski and H Tverberg, Geometric permutations of large families of translates, in Discrete and computational geometry, Algorithms Combin. 25 (Springer, Berlin, 2003), 157-176.

  39. Helge Tverberg, Ernst S Selmer in memoriam (Norwegian), Normat 55 (2) (2007), 50-52; 96.

  40. Andreas F Holmsen, János Pach and Helge Tverberg, Points surrounding the origin, Combinatorica 28 (6) (2008),  633-644.

  41. Øystein J Rødseth, James A Sellers and Helge Tverberg, Enumeration of the degree sequences of non-separable graphs and connected graphs, European J. Combin. 30 (5) (2009), 1309-1317.

  42. Helge Tverberg, On a gossip problem, Math. Sci. 34 (2) (2009), 119-121.

  43. Helge Tverberg, On Borromean rings, Math. Sci. 35 (1) (2010), 57-60.

  44. Helge Tverberg, On a Lovász-type lemma, applied to Brooks' theorem for list-colouring, Discrete Math. 311 (17) (2011), 1995-1997.

  45. Helge Tverberg, On some number-theoretic sums introduced by Jacobsthal, Acta Arith. 155 (4) (2012), 349-351.

  46. Helge Tverberg, Personal memories of Erdős, Geombinatorics 22 (4) (2013), 139.

  47. Ville H Pettersson, Helge A Tverberg and Patric R J Östergård, A note on Toeplitz' conjecture, Discrete Comput. Geom. 51 (3) (2014), 722-728.


JOC/EFR January 2019