# Fulkerson-díj

A Fulkerson-díj a kiemelkedő diszkrét matematikai cikkekért járó, Delbert Ray Fulkersonról elnevezett kitüntetés, amelyet a Mathematical Programming Society (MPS) és az American Mathematical Society (AMS) közösen oszt ki az MPS háromévente rendezett nemzetközi ülésén. Az 1500 dollár értékű díjat egyszerre legfeljebb hárman kapják meg.

## Jegyzetek

1. Richard M. Karp, "On the computational complexity of combinatorial problems", Networks 5: 45–68, 1975.
2. Kenneth Appel és Wolfgang Haken, "Every planar map is four colorable, Part I: Discharging," Illinois Journal of Mathematics 21: 429–490, 1977.
3. Paul Seymour , "The matroids with the max-flow min-cut property," Journal of Combinatorial Theory, Series B, 23: 189–222, 1977.
4. D.B. Judin and Arkadi Nemirovski, "Informational complexity and effective methods of solution for convex extremal problems," Ekonomika i Matematicheskie Metody 12: 357–369, 1976.
5. Leonid Khachiyan, "A polynomial algorithm in linear programming," Akademiia Nauk SSSR. Doklady 244: 1093–1096, 1979.
6. Martin Grötschel, László Lovász és Alexander Schrijver, "The ellipsoid method and its consequences in combinatorial optimization," Combinatorica 1: 169–197, 1981.
7. G. P. Egorychev, "The solution of van der Waerden's problem for permanents," Akademiia Nauk SSSR. Doklady 258: 1041–1044, 1981.
8. D. I. Falikman, "A proof of the van der Waerden conjecture on the permanent of a doubly stochastic matrix," Matematicheskie Zametki 29: 931–938, 1981.
9. Jozsef Beck, "Roth's estimate of the discrepancy of integer sequences is nearly sharp," Combinatorica 1 (4): 319–325, 1981.
10. H. W. Lenstra, Jr., "Integer programming with a fixed number of variables," Mathematics of Operations Research 8 (4): 538–548, 1983.
11. Eugene M. Luks, "Isomorphism of graphs of bounded valence can be tested in polynomial time," Journal of Computer and System Sciences 25 (1): 42–65, 1982.
12. Éva Tardos, "A strongly polynomial minimum cost circulation algorithm," Combinatorica 5: 247-256, 1985.
13. Narendra Karmarkar, "A new polynomial-time algorithm for linear programming," Combinatorica 4:373–395, 1984.
14. Martin E. Dyer, Alan M. Frieze and Ravindran Kannan, "A random polynomial time algorithm for approximating the volume of convex bodies", Journal of the Association for Computing Machinery 38 (1): 1–17, 1991.
15. Alfred Lehman, "The width-length inequality and degenerate projective planes," W. Cook and P. D. Seymour (eds.), Polyhedral Combinatorics, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, volume 1, (American Mathematical Society, 1990) pp. 101-105.
16. Nikolai E. Mnev, "The universality theorems on the classification problem of configuration varieties and convex polytope varieties," O. Ya. Viro (ed.), Topology and Geometry-Rohlin Seminar, Lecture Notes in Mathematics 1346 (Springer-Verlag, Berlin, 1988) pp. 527-544.
17. Louis Billera, "Homology of smooth splines: Generic triangulations and a conjecture of Strang", Transactions of the AMS 310: 325–340, 1988.
18. Gil Kalai, "Upper bounds for the diameter and height of graphs of the convex polyhedra", Discrete and Computational Geometry 8: 363–372, 1992.
19. Neil Robertson, Paul Seymour és Robin Thomas, "Hadwiger's conjecture for K_6-free graphs," Combinatorica 13: 279–361, 1993.
20. Jeong Han Kim, "The Ramsey Number R(3,t) Has Order of Magnitude t^2/log t," Random Structures and Algorithms 7 (3): 173–207, 1995.
21. Michel X. Goemans és David P. Williamson, "Improved approximation algorithms for the maximum cut and satisfiability probelsm using semi-definite programming", Journal of the Association for Computing Machinery 42 (6): 1115–1145, 1995.
22. Michele Conforti, Gérard Cornuéjols és M. R. Rao, "Decomposition of balanced matrices", Journal of Combinatorial Theory, Series B, 77 (2): 292–406, 1999.
23. J. F. Geelen, A. M. H. Gerards és A. Kapoor, "The Excluded Minors for GF(4)-Representable Matroids," Journal of Combinatorial Theory, Series B, 79 (2): 247–2999, 2000.
24. ^ a b c 2003 Fulkerson Prize citation, retrieved 2012-08-18.
25. Bertrand Guenin, "A characterization of weakly bipartite graphs," Journal of Combinatorial Theory, Series B, 83 (1): 112–168, 2001.
26. Satoru Iwata, Lisa Fleischer, Satoru Fujishige, "A combinatorial strongly polynomial algorithm for minimizing submodular functions," Journal of the ACM, 48 (4): 761–777, 2001.
27. Alexander Schrijver, "A combinatorial algorithm minimizing submodular functions in strongly polynomial time," Journal of Combinatorial Theory, Series B 80 (2): 346–355, 2000.
28. Manindra Agrawal, Neeraj Kayal és Nitin Saxena, "PRIMES is in P," Annals of Mathematics, 160 (2): 781–793, 2004.
29. Raghunathan, M. S. (June 11, 2009), "India as a player in Mathematics", The Hindu.
30. ^ a b c 2006 Fulkerson Prize citation, retrieved 2012-08-19.
31. Mark Jerrum, Alistair Sinclair és Eric Vigoda, "A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries," Journal of the ACM, 51 (4): 671–697, 2004.
32. [[Neil Robertson (matematikus)|]] és Paul Seymour, "Graph Minors. XX. Wagner's conjecture," Journal of Combinatorial Theory, Series B, 92 (2): 325–357, 2004.
33. Maria Chudnovsky, Neil Robertson, Paul Seymour és Robin Thomas, "The strong perfect graph theorem", Annals of Mathematics, 164: 51–229, 2006.
34. ^ a b c 2009 Fulkerson Prize citation, retrieved 2012-08-19.
35. Daniel A. Spielman és Shang-Hua Teng, "Smoothed analysis of algorithms: Why the simplex algorithm usually takes polynomial time", Journal of the ACM 51: 385–463, 2004.
36. Thomas C. Hales, "A proof of the Kepler conjecture", Annals of Mathematics 162: 1063–1183, 2005.
37. Samuel P. Ferguson, "Sphere Packings, V. Pentahedral Prisms", Discrete and Computational Geometry 36: 167–204, 2006.
38. Sanjeev Arora, Satish Rao és Umesh Vazirani, "Expander flows, geometric embeddings and graph partitioning", Journal of the ACM 56: 1-37, 2009.
39. Anders Johansson, Jeff Kahn és Van H. Vu, "Factors in random graphs", Random Structures and Algorithms 33: 1-28, 2008.
40. Lovász László és Szegedy Balázs, "Limits of dense graph sequences", Journal of Combinatorial Theory, Series B, 96: 933-957, 2006.