富爾克森獎
富爾克森獎 | |
---|---|
授予對象 | 離散數學領域的傑出論文 |
國家/地區 | 美國 |
主辦單位 | 國際數學優化學會 美國數學學會 |
獎勵 | 1500美元 |
首次頒發 | 1979年 |
官方網站 | http://www.ams.org/profession/prizes-awards/ams-prizes/fulkerson-prize |
富爾克森獎(英語:Fulkerson Prize)是國際數學優化學會和美國數學學會聯合設立的獎項,專門獎勵離散數學領域的傑出論文。在國際數學優化學會每三年召開一次的大會上獎勵至多三篇論文,獎金各1500美元。最初獎金來自於一個紀念基金。此紀念基金是由數學家戴爾伯特·雷·富爾克森的朋友們建立的、美國數學學會管理,用於激勵富爾克森自己研究領域的傑出數學成果。目前獎金來自於國際數學優化學會管理的一筆捐贈資產。
獲獎論文
- 1979年:
- 1982:
- D.B. Judin, 阿爾卡迪·內米羅夫斯基, Leonid Khachiyan, Martin Grötschel, 洛瓦茲·拉茲洛 和 Alexander Schrijver - 線性規劃和組合優化中的橢球方法。[5][6] [7] [8]
- G. P. Egorychev和D. I. Falikman - 證明范德瓦爾登的猜想:所有元素都相等的矩陣在所有雙隨機矩陣中有着最小的積和式。[9][10]
- 1985:
- 1988:
- 愛娃·塔多斯 - 在強多項式時間內求解網絡中的最小費用環流。[15]
- Narendra Karmarkar - 線性規劃中的Karmarkar算法。[16]
- 1991:
- 1994:
- Louis Billera - 求出空間三角剖分上的分段多項式函數空間的基。[20]
- Gil Kalai - 在Hirsch猜想上的進展。[21]
- Neil Robertson, Paul Seymour和羅賓·托馬斯 - 哈德維格猜想的6色情形。[22]
- 1997:
- Jeong Han Kim - 求出拉姆齊數R(3,t)的漸進增長率。[23]
- 2000:
- Michel X. Goemans和David P. Williamson - 基於半正定規劃的近似算法。[24]
- Michele Conforti, Gérard Cornuéjols和Mendu Rammohan Rao - 在多項式時間內識別平衡邏輯矩陣的算法。[25][26]
- 2003:
- 2006:
- Manindra Agrawal, Neeraj Kayal 和 Nitin Saxena - AKS質數測試.[32][33][34]
- Mark Jerrum, 阿利斯泰爾·辛克萊爾 和 Eric Vigoda - 對積和式的近似計算。[35][34]
- Neil Robertson 和 Paul Seymour - Robertson-Seymour定理。.[36][34]
- 2009:
- 2012:
- 2015 :
- Francisco Santos Leal - 舉出Hirsch猜想的一個反例。[45][46]
- 2018 :
- Robert Morris, 小早川美晴, Simon Griffiths, Peter Allen 和 Julia Böttcher - The chromatic thresholds of graphs
- Thomas Rothvoss - The Matching Polytope has Exponential Extension Complexity
參考資料
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- ^ Karp, Richard M. On the computational complexity of combinatorial problems. Networks. 1975, 5: 45–68. doi:10.1002/net.1975.5.1.45.
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- ^ Seymour, Paul. The matroids with the max-flow min-cut property. Journal of Combinatorial Theory. 1977, 23: 189–222. doi:10.1016/0095-8956(77)90031-4.
- ^ Judin, D.B.; Nemirovski, Arkadi. Informational complexity and effective methods of solution for convex extremal problems. Ekonomika i Matematicheskie Metody. 1976, 12: 357–369.
- ^ Khachiyan, Leonid. A polynomial algorithm in linear programming. Akademiia Nauk SSSR. Doklady. 1979, 244: 1093–1096.
- ^ Leonid Khachiyan, professor, leading computer scientist, Boston Globe, May 5, 2005 [2020-04-19], (原始內容存檔於2016-03-03).
- ^ Grötschel, Martin; Lovász, László; Schrijver, Alexander. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica. 1981, 1: 169–197. doi:10.1007/bf02579273.
- ^ Egorychev, G. P. The solution of van der Waerden's problem for permanents. Akademiia Nauk SSSR. Doklady. 1981, 258: 1041–1044.
- ^ Falikman, D. I. A proof of the van der Waerden conjecture on the permanent of a doubly stochastic matrix. Matematicheskie Zametki. 1981, 29: 931–938.
- ^ Beck, Jozsef. Roth's estimate of the discrepancy of integer sequences is nearly sharp. Combinatorica. 1981, 1 (4): 319–325. doi:10.1007/bf02579452.
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- ^ U of O Computer Chief Gets Top Award, Eugene Register-Guard, August 10, 1985 [2020-04-19], (原始內容存檔於2021-12-07).
- ^ Tardos, Éva. A strongly polynomial minimum cost circulation algorithm. Combinatorica. 1985, 5: 247–256. doi:10.1007/bf02579369.
- ^ Karmarkar, Narendra. A new polynomial-time algorithm for linear programming. Combinatorica. 1984, 4: 373–395. doi:10.1007/bf02579150.
- ^ Dyer, Martin E.; Frieze, Alan M.; Kannan, Ravindran. A random polynomial time algorithm for approximating the volume of convex bodies. Journal of the ACM. 1991, 38 (1): 1–17. doi:10.1145/102782.102783.
- ^ 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.
- ^ 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.
- ^ Billera, Louis. Homology of smooth splines: Generic triangulations and a conjecture of Strang. Transactions of the American Mathematical Society. 1988, 310: 325–340. doi:10.2307/2001125.
- ^ Kalai, Gil. Upper bounds for the diameter and height of graphs of the convex polyhedra. Discrete and Computational Geometry. 1992, 8: 363–372. doi:10.1007/bf02293053.
- ^ Robertson, Neil; Seymour, Paul; Thomas, Robin. Hadwiger's conjecture for K_6-free graphs. Combinatorica. 1993, 13: 279–361. doi:10.1007/bf01202354.
- ^ Kim, Jeong Han, The Ramsey number R(3,t) has order of magnitude t2/log t, Random Structures & Algorithms, 1995, 7 (3): 173–207, MR 1369063, doi:10.1002/rsa.3240070302.
- ^ Goemans, Michel X.; Williamson, David P. Improved approximation algorithms for the maximum cut and satisfiability probelsm using semi-definite programming. Journal of the ACM. 1995, 42 (6): 1115–1145. doi:10.1145/227683.227684.
- ^ Michele Conforti, Gérard Cornuéjols, and M. R. Rao, "Decomposition of balanced matrices", Journal of Combinatorial Theory, Series B, 77 (2): 292–406, 1999.
- ^ MR Rao New Dean Of ISB, Financial Express, July 2, 2004 [2020-04-19], (原始內容存檔於2022-03-19).
- ^ J. F. Geelen, A. M. H. Gerards and A. Kapoor, "The Excluded Minors for GF(4)-Representable Matroids," Journal of Combinatorial Theory, Series B, 79 (2): 247–2999, 2000.
- ^ 28.0 28.1 28.2 2003 Fulkerson Prize citation (頁面存檔備份,存於互聯網檔案館), retrieved 2012-08-18.
- ^ Bertrand Guenin, "A characterization of weakly bipartite graphs," Journal of Combinatorial Theory, Series B, 83 (1): 112–168, 2001.
- ^ Satoru Iwata, Lisa Fleischer, Satoru Fujishige, "A combinatorial strongly polynomial algorithm for minimizing submodular functions," Journal of the ACM, 48 (4): 761–777, 2001.
- ^ Alexander Schrijver, "A combinatorial algorithm minimizing submodular functions in strongly polynomial time," Journal of Combinatorial Theory, Series B 80 (2): 346–355, 2000.
- ^ Manindra Agrawal, Neeraj Kayal and Nitin Saxena, "PRIMES is in P," Annals of Mathematics, 160 (2): 781–793, 2004.
- ^ Raghunathan, M. S., India as a player in Mathematics, The Hindu, June 11, 2009 [2020-04-19], (原始內容存檔於2009-06-14).
- ^ 34.0 34.1 34.2 2006 Fulkerson Prize citation (頁面存檔備份,存於互聯網檔案館), retrieved 2012-08-19.
- ^ Mark Jerrum, Alistair Sinclair and 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.
- ^ Neil Robertson and Paul Seymour, "Graph Minors. XX. Wagner's conjecture," Journal of Combinatorial Theory, Series B, 92 (2): 325–357, 2004.
- ^ Chudnovsky, Maria; Robertson, Neil; Seymour, Paul; Thomas, Robin. The strong perfect graph theorem. Annals of Mathematics. 2006, 164: 51–229. arXiv:math/0212070 . doi:10.4007/annals.2006.164.51.
- ^ 38.0 38.1 38.2 2009 Fulkerson Prize citation (頁面存檔備份,存於互聯網檔案館), retrieved 2012-08-19.
- ^ Spielman, Daniel A.; Teng, Shang-Hua. Smoothed analysis of algorithms: Why the simplex algorithm usually takes polynomial time. Journal of the ACM. 2004, 51: 385–463. arXiv:math/0212413 . doi:10.1145/990308.990310.
- ^ Hales, Thomas C. A proof of the Kepler conjecture. Annals of Mathematics. 2005, 162: 1063–1183.
- ^ Ferguson, Samuel P. Sphere Packings, V. Pentahedral Prisms. Discrete and Computational Geometry. 2006, 36: 167–204. doi:10.1007/s00454-005-1214-y.
- ^ Arora, Sanjeev; Rao, Satish; Vazirani, Umesh. Expander flows, geometric embeddings and graph partitioning. Journal of the ACM. 2009, 56: 1–37. doi:10.1145/1502793.1502794.
- ^ Johansson, Anders; Kahn, Jeff; Vu, Van H. Factors in random graphs. Random Structures and Algorithms. 2008, 33: 1–28. doi:10.1002/rsa.20224.
- ^ Lovász, László; Szegedy, Balázs. Limits of dense graph sequences. Journal of Combinatorial Theory. 2006, 96: 933–957. arXiv:math/0408173 . doi:10.1016/j.jctb.2006.05.002.
- ^ Santos, Francisco, A counterexample to the Hirsch conjecture, Annals of Mathematics, 2011, 176 (1): 383–412, MR 2925387, arXiv:1006.2814 , doi:10.4007/annals.2012.176.1.7
- ^ 2015 Fulkerson Prize citation (頁面存檔備份,存於互聯網檔案館), retrieved 2015-07-18.