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A density version of a geometric Ramsey theorem. (English) Zbl 0476.51008

51E20 Combinatorial structures in finite projective spaces
05B25 Combinatorial aspects of finite geometries
05C35 Extremal problems in graph theory
Full Text: DOI
[1] Alspach, B; Brown, T.C; Hell, P, On the density of sets containing no k-element arithmetic progressions of a certain kind, J. London math. soc., 13, 2, 226-234, (1976) · Zbl 0343.05003
[2] Brown, T.C, Behrend’s theorem for sequences containing no k-element arithmetic progression of a certain type, J. combin. theory ser. A, 18, 352-356, (1975) · Zbl 0303.10055
[3] {\scR. L. Graham}, Rudiments of Ramsey Theory, to appear.
[4] Graham, R.L; Leeb, K; Rothschild, B.L; Graham, R.L; Leeb, K; Rothschild, B.L, Ramsey’s theorem for a class of categories, Adv. in math., Errata, 10, 326-327, (1973) · Zbl 0252.18007
[5] Graham, R.L; Rothschild, B.L, Rota’s geometric analog to Ramsey’s theorem, (), 101-104 · Zbl 0233.05002
[6] Graham, R.L; Rothschild, B.L, Ramsey’s theorem for n-parameter sets, Trans. amer. math. soc., 159, 257-292, (1971) · Zbl 0233.05003
[7] Hales, A.W; Jewett, R.I, Regularity and positional games, Trans. amer. math. soc., 106, 222-229, (1963) · Zbl 0113.14802
[8] Hill, R, Caps and codes, discrete math., 22, 111-137, (1978) · Zbl 0391.51005
[9] Roth, K.F, On certain sets of integers, II, J. London math. soc., 29, 20-26, (1954) · Zbl 0055.27201
[10] Segre, B, On complete caps and ovaloids in three-dimensional Galois spaces of characteristic 2, Acta arith., 5, 315-332, (1959) · Zbl 0094.15902
[11] Spencer, J.H, Ramsey’s theorem for spaces, Trans. amer. math. soc., 249, 363-371, (1979) · Zbl 0387.05018
[12] Szemerédi, E, On sets of integers containing no four elements in arithmetic progression, Acta math. acad. sci. hungar., 20, 89-104, (1969) · Zbl 0175.04301
[13] Szemerédi, E, On sets of integers containing no k elements in arithmetic progression, Acta arith., 199-245, (1975) · Zbl 0303.10056
[14] {\scB. Voigt}, A Ramsey theorem for finite geometries, to appear.
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