An application of Ramsey's theory to partitions in groups - I
Arad, Zvi ; Ehrlich, Gideon ; Kegel, Otto H. ; Lennox, John C.
Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990), p. 143-157 / Harvested from Numdam
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@article{RSMUP_1990__84__143_0,
     author = {Arad, Zvi and Ehrlich, Gideon and Kegel, Otto H. and Lennox, John},
     title = {An application of Ramsey's theory to partitions in groups - I},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {84},
     year = {1990},
     pages = {143-157},
     mrnumber = {1101289},
     zbl = {0724.05071},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1990__84__143_0}
}

Arad, Zvi; Ehrlich, Gideon; Kegel, Otto H.; Lennox, John C. An application of Ramsey's theory to partitions in groups - I. Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990) pp. 143-157. http://gdmltest.u-ga.fr/item/RSMUP_1990__84__143_0/

[1] G. Ehrlich, Algorithm 477: Generator of set-partitions to exactly R subsets [G7], Communication of the ACM, 17, no. 4 (1974), pp. 224-225.

[2] S. Even, Algorithmic Combinatorics, Mac Millan (1973), pp. 60-61. | MR 335266 | Zbl 0258.05101

[3] R.L. Graham, Rudiments of Ramsey theory, CBMS Regional Conference Series in Mathematics, no. 45, American Math. Soc. (1981). | MR 608630 | Zbl 0458.05043

[4] R.L. Graham - B. L. ROTSCHILD, Ramsey's theorem for n-parameter sets, Trans. Amer. Math. Soc., 159 (1971), pp. 257-292. | MR 284352 | Zbl 0233.05003

[5] R.L. Graham - B. L. ROTHSCHILD - J. H. SPENCER, Ramsey Theory, Wiley-Interscience Series in Discrete Math. (1980). | MR 591457 | Zbl 0455.05002

[6] E. Reingold - J. Nivergelt - N. Deo, Combinatorial Algorithms, Prentice-Hall (1977), pp. 106-112. | Zbl 0367.68032

[7] J. Sanders, A Generalization of Schur's Theorem, dissertation, Yale University (1969).

[8] S. Shelah, Primitive recursive bounds for van der Waerden numbers, J. AMS, 1 (1988), pp. 683-697. | MR 929498 | Zbl 0649.05010

[9] I. Schur, Über die Kongruenz xm + ym congruent zm(mod p), Iber, Deutsche Math. Verein., 25 (1916), pp. 114-116. | JFM 46.0193.02

[10] I. Schur, Gesammelte Abhandlungen, Springer-Verlag, Berlin (1973). | Zbl 0274.01054

[11] B.L. Van Der Waerden, Beweis einer Baudetschen Vermutung, Nieuw. Arch. Wisk., 19 (1927), pp. 212-216. | JFM 53.0073.12