Ramsey’s theorem for 𝑛-dimensional arrays

Graham, R. L.; Rothschild, B. L.

doi:10.1090/S0002-9904-1969-12202-0

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Ramsey’s theorem for $n$-dimensional arrays
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by R. L. Graham and B. L. Rothschild PDF

Bull. Amer. Math. Soc. 75 (1969), 418-422

References

A. W. Hales and R. I. Jewett, Regularity and positional games, Trans. Amer. Math. Soc. 106 (1963), 222–229. MR 143712, DOI 10.1090/S0002-9947-1963-0143712-1
A. Y. Khinchin, Three pearls of number theory, Graylock Press, Rochester, N.Y., 1952. MR 0046372
R. Rado, Note on combinatorial analysis, Proc. London Math. Soc. (2) 48 (1943), 122–160. MR 9007, DOI 10.1112/plms/s2-48.1.122
Herbert John Ryser, Combinatorial mathematics, The Carus Mathematical Monographs, No. 14, Mathematical Association of America; distributed by John Wiley and Sons, Inc., New York, 1963. MR 0150048, DOI 10.5948/UPO9781614440147

Additional Information

Journal: Bull. Amer. Math. Soc. 75 (1969), 418-422
DOI: https://doi.org/10.1090/S0002-9904-1969-12202-0
MathSciNet review: 0237349