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Representability of Ramsey Relation Algebras

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Abstract

We obtain representations for relation algebras corresponding to certain edge colourings of complete graphs. Suitable colourings are obtained for the number of colours n up to 120, with two exceptions: n = 8 and n = 13. For n > 7, it was not known whether representations exist.

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Correspondence to Tomasz Kowalski.

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Presented by B. Davey.

Dedicated to Brian Davey on the occasion of his 65th birthday

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Kowalski, T. Representability of Ramsey Relation Algebras. Algebra Univers. 74, 265–275 (2015). https://doi.org/10.1007/s00012-015-0353-0

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  • DOI: https://doi.org/10.1007/s00012-015-0353-0

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