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Graham-Rothschild’s Theorem

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Ramsey Theory for Discrete Structures

Abstract

The Graham and Rothschild theorem (1971) is concerned with partitions of k-parameter words in A n. It generalizes Hales-Jewett’s theorem to higher dimensions.

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References

  • Graham, R.L., Rothschild, B.L.: Ramsey’s theorem for n-parameter sets. Trans. Am. Math. Soc. 159, 257–292 (1971)

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Prömel, H.J. (2013). Graham-Rothschild’s Theorem. In: Ramsey Theory for Discrete Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-01315-2_5

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