pUBLICATIONS:

 

I will make most of my papers available online soon. Until then, please send me an email if you need an electronic copy of one.

 

Published papers

 

1.       Solymosi, Jozsef and Konrad Swanepoel. ' Elementary incidence theorems for complex numbers and quaternions'. SIAM JOURNAL ON DISCRETE MATHEMATICS. 22.3 (July 2008): 1145 – 1148. arXiv:math/0703372

 

2.       Solymosi, Jozsef. 'Incidences and the Spectra of Graphs'. Building Bridges between Mathematics and Computer Science. Vol. 19. Ed. Martin Groetschel and Gyula Katona. Series: Bolyai Society Mathematical Studies. Springer, 2008. 499 - 513.

 

3.       Solymosi, Jozsef and Van Vu. 'Near optimal bound for the distinct distances problem in high dimensions'. COMBINATORICA. 28.1 (2008): 113 - 125.

 

4.       Solymosi, Jozsef and Csaba D. Toth. 'On a question of Bourgain about geometric incidences,'. Combinatorics, Probability and Computing. 17.4 (July 2008): 619 - 625. arXiv:math/0701392

 

5.       Solymosi, Jozsef and Gabor Tardos. ' On the Number of k-rich Transformations '. 23rd Annual ACM Symposium on Computational Geometry. Gyeongju, Korea, Republic of. Jun, 2007. 227 - 231.  ACM Press New York, NY, USA.

 

6.       Solymosi, Jozsef. 'Elementary methods in Additive Combinatorics'. Additive Combinatorics. Lectures from the CRM-Clay School on Additive Combinatorics was held at the Universite de Montreal from March 30th to April 5th, 2006.. Ed. Andrew Granville, Melvin Nathanson and Jozsef Solymosi. AMS, 2007. 29 - 38.

 

7.       Laba, Izabella and Jozsef Solymosi. 'Incidence theorems for pseudoflats'. Discrete & Computational Geometry. 37.2 (February 2007 ): 163 - 174.  arXiv:math/0505164

 

8.       Haart, Derrick, Alex Iosevich and Jozsef Solymosi. 'Sum-product estimates in finite fields via Kloosterman sums'. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2007 (2007): 1 - 14. arXiv:math/0609426

 

9.       Chang, Mei-Chu and Jozsef Solymosi. 'Sum-product theorems and incidence geometry'. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. 9.3 (2007): 545 - 560.

 

10.   Graham, Ron and Jozsef Solymosi. 'Monochromatic equilateral right triangles on the integer grid'. Topics in Discrete Mathematics. (Dedicated to Jarik Nešetril on the occasion of his 60th birthday)Series: Algorithms and Combinatorics. Vol. 26. Ed. Martin Klazar, Jan Kratochvil, Martin Loebl, Jirka Matousek, Robin Thomas and Pavel Valtr. Springer, 2006. 61 - 68.

 

11.   Solymosi, Jozsef. 'Dense arrangements are locally very dense I'. SIAM JOURNAL ON DISCRETE MATHEMATICS. 20.3 (2006): 623 - 627. arXiv:math/0504009

 

12.   Solymosi, Jozsef and Csaba D. Toth. 'On distinct distances in homogeneous sets in the Euclidean space'. Discrete & Computational Geometry. 35.4 (2006): 629 - 634. arXiv:math/0503443

 

13.   Solymosi, Jozsef. 'Arithmetic Progressions in Sets with Small Sumsets'. Combinatorics, Probability and Computing. 15 (2006): 597 - 603. arXiv:math/0503649

 

14.   Karolyi, Gyula and Jozsef Solymosi. 'Erdos-Szekeres theorem with forbidden order types'. Journal of Combinatorial Theory, Series A. 113.3 (2006): 455 - 465.

 

15.   Adamy, Udo, Michael Hoffmann, Jozsef Solymosi and Milos Stojakovic. 'Coloring octrees'. THEORETICAL COMPUTER SCIENCE. 363.1 (2006): 11 - 17.

 

16.   Solymosi, Jozsef. 'On the number of sums and products'. The Bulletin of the London Mathematical Society. 37.4 (2005): 491 - 494.

 

17.   Solymosi, Jozsef. 'Regularity, uniformity, and quasirandomness'. Proceedings of the National Academy of Sciences of the United States of America. 102.23 (2005): 8075 - 8076 .

 

18.   Cooper, Joshua N. and Jozsef Solymosi. 'Collinear points in permutations'. Annals of Combinatorics. 9.2 (2005): 169 - 175.  arXiv:math/0408396

 

19.   Solymosi, Jozsef. 'On sum-sets and product-sets of complex numbers'. Journal de Theorie des Nombres de Bordaux. 17.3 (2005): 921 - 924.

 

20.   Nesetril, Jaroslav, Jozsef Solymosi and Pavel Valtr. 'A Ramsey property of planar graphs'. Towards a theory of geometric graphs; Contemp. Math.. Vol. 342. Ed. Amer. Math. Soc, 2004. 169 - 176.

 

21.   Solymosi, Jozsef and Van Vu. 'Distinct distances in high dimensional homogeneous sets'. Towards a theory of geometric graphs; Contemp. Math.. Vol. 342. Ed. Amer. Math. Soc, 2004. 259 - 268.

 

22.   Solymosi, Jozsef. 'A note on a question of Erdos and Graham'. Combinatorics, Probability and Computing. 13.2 (2004): 263 - 267.

 

23.   Adamy, Udo, Michael Hoffmann, Jozsef Solymosi and Milos Stojakovic. 'Coloring octrees'. Computing and combinatorics; Lecture Notes in Comput. Sci.. Vol. 3106. Ed. Springer, 2004. 62 - 71.

 

24.   Solymosi, Jozsef. 'Note on a generalization of Roth's theorem'. Discrete and computational geometry; Algorithms Combin.. Vol. 25. Ed. Janos Pach. Springer, 2003. 825 - 827.

 

25.   Solymosi, Jozsef. 'Note on integral distances'. Discrete and Computational Geometry.. 30.2 (January 2003): 337 - 342.

 

26.   Gartner, Bernd, Falk Tschirschnitz, Emo Welzl, Jozsef Solymosi and Pavel Valtr. 'One line and n points'. Random Structures & Algorithms. 23.4 (2003): 453 - 471.

 

27.   Pach, Janos, Jozsef Solymosi and Geza Toth. 'Unavoidable configurations in complete topological graphs'. Discrete & Computational Geometry.. 30.2 (2003): 311 - 320.

 

28.   Solymosi, Jozsef and Van Vu. 'Distances in Homogeneous Sets'. Proceeding of the 19th ACM Symposium on Computational Geometry. 19th ACM Symposium on Computational Geometry. San Diego, California, United States. 2003. 104- - 105. ACM Press.

 

29.   Gyarfas, Andras, Alice Hubenko and Jozsef Solymosi. 'Large cliques in C_4-free graphs'. COMBINATORICA. 22.2 (2002): 269 - 274.

 

30.   Karolyi, Gyula and Jozsef Solymosi. 'Almost disjoint triangles in 3-space'. Discrete & Computational Geometry.. 28.4 (2002): 577 - 583.

 

31.   Solymosi, Jozsef, Gabor Tardos and Csaba D. Toth. 'The k most frequent distances in the plane'. Discrete & Computational Geometry.. 28.4 (2002): 639 - 648.

32.   Pach, Janos and Jozsef Solymosi. 'Crossing patterns of segments'. Journal of Combinatorial Theory.Series A. 96.2 (2001): 316 - 325.

 

33.   Gartner, Bernd, Jozsef Solymosi, Falk Tschirschnitz, Emo Welzl and Pavel Valtr. 'One line and n points'. Proceedings of the Thirty-Third Annual ACM Symposium on Theory of Computing. Thirty-Third Annual ACM Symposium on Theory of Computing, SODA. 2001. 306 - 315 (eetron). ACM.

 

34.   Solymosi, Jozsef. and Csaba D. Toth. 'Distinct distances in the plane'. Discrete & Computational Geometry.. 25.4 (2001): 629 - 634.

 

35.   Alon, Noga, Janos Pach and Jozsef Solymosi. 'Ramsey-type theorems with forbidden subgraphs'. COMBINATORICA. 21.2 (2001): 155 - 170.

 

36.   Pach, Janos and Jozsef Solymosi. 'Structure theorems for systems of segments'. Discrete and computational geometry (Tokyo, 2000); Lecture Notes in Comput. Sci.. Vol. 2098. Ed. Jin Akijama. Springer, 2001. 308 – 317.

 

37.   Solymosi, Jozsef and Csaba D. Toth. 'Different distances in a planar point set'. Proc. 17th ACM Symp. on Comput. Geom. (Medford, MA, 2001). 17th ACM Symp. on Comput. Geom.. Medford, Massachusetts, United States. 2001. 29 - 31. ACM Press.

 

38.   Nesetril, Jaroslav, Jozsef Solymosi and Pavel Valtr. 'Induced monochromatic subconfigurations'. Contemporary trends in discrete mathematics Stirin Castle, 1997); DIMACS Ser. Discrete Math. Theoret. Comput. Sci.. Vol. 49. Ed. Amer. Math. Soc, 1999. 219 - 227.

 

39.   Pach, Janos and Jozsef Solymosi. 'Halving lines and perfect cross-matchings'. Advances in discrete and computational geometry (South Hadley, MA, 1996); Contemp. Math.. Vol. 223. Ed. Amer. Math. Soc, 1999. 245 - 249.

 

40.   Pach, Janos and Jozsef Solymosi. 'Canonical theorems for convex sets'. Discrete & Computational Geometry.. 19.3, Special Issue (1998): 427 – 435.

 

 

 

submitted papers

 

41.   Solymosi, Jozsef and Frank De Zeeuw. 'On a question of Erdos and Ulam'. Discrete & Computational Geometry. 6 pages  arXiv:0806.3095

 

42.   Solymosi, Jozsef. 'Spectral bounds on incidences'. Additive Combinatorics. Ed. Javier Cilleruelo, Marc Noy and Oriol Serra. Advanced Courses of CRM. Birkhauser, 2009. 17 pages

 

43.   Pach, Janos, Jozsef Solymosi and Gabor Tardos. 'Crossing numbers of imbalanced graphs'. JOURNAL OF GRAPH THEORY.  6 pages

 

44.   Solymosi, Jozsef . 'On distinct consecutive differences'. COMBINATORICA. 7 pages arXiv:math/0503069

 

45.   Solymosi, Jozsef and Van Vu. 'Sum-product estimates for well-conditioned matrices'. The Bulletin of the London Mathematical Society.  7 pages

 

46.   Solymosi, Jozsef. 'Bounding multiplicative energy by the sumset'. Advances in Mathematics, 8 pages arXiv:0806.1040

 

1.       Graham, Ron and Jozsef Solymosi. 'Some Ramsey results for the n-cube'. 10 pages arXiv:0807.1557