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Comer Schemes, Relation Algebras, and the Flexible Atom Conjecture

Jeremy F. AlmDavid A. AndrewsMichael Levet
May 2019
摘要
In this paper, we consider relational structures arising from Comer's finitefield construction, where the cosets need not be sum free. These Comer schemesgeneralize the notion of a Ramsey scheme and may be of independent interest. Asan application, we give the first finite representation of $34_{65}$. Wecomplement our upper bounds with some lower bounds. Using a SAT solver, weestablish that neither $33_{65}$ nor $34_{65}$ are representable on fewer than$24$ points.
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