Abstract
In this chapter unrestricted colorings of parameter words are investigated and their canonical patterns are determined. As applications we derive a canonizing version of van der Waerden’s theorem from the corresponding result for zero-parameter words and the finite form of the Erdős-Rado canonization theorem from a canonizing version of the Graham-Rothschild theorem. In fact, throughout this chapter we will consider only parameter words over the trivial group.
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Prömel, H.J. (2013). Canonical Partitions. In: Ramsey Theory for Discrete Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-01315-2_6
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DOI: https://doi.org/10.1007/978-3-319-01315-2_6
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