Directed Ramsey and anti-Ramsey schemes and the Flexible Atom Conjecture

DOI10.1142/s0218196723500595arXiv1901.06781OpenAlexW4386000397WikidataQ123282594 ScholiaQ123282594MaRDI QIDQ6142827

Jeremy F. Alm, Michael Levet

Publication date: 4 January 2024

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06781

zbMATH Keywords

representationsdirected Ramsey schemesflexible atom conjecture

Mathematics Subject Classification ID

Cylindric and polyadic algebras; relation algebras (03G15)

Cites Work

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• Sum-free cyclic multi-bases and constructions of Ramsey algebras
• Representability of Ramsey relation algebras
• Combinatorial aspects of relations
• Relation algebras
• Chromatic graphs, Ramsey numbers and the flexible atom conjecture
• Difference sets and sum-free sets in groups of order 16
• Small representations of the relation algebra \(\mathcal E_{n+1}(1,2,3)\)
• Arithmetic progressions in multiplicative groups of finite fields
• Improved bounds on the size of the smallest representation of relation algebra \(32_{65}\)
• A fast coset-translation algorithm for computing the cycle structure of Comer relation algebras over \(\mathbb{Z} / p \mathbb{Z}\)
• A reduced upper bound for an edge-coloring problem from relation algebra
• Additive patterns in multiplicative subgroups
• Some Varieties Containing Relation Algebras
• Arithmetic Progressions of Length Three in Multiplicative Subgroups of $\mathbb{F}_p$
• 401 and beyond: improved bounds and algorithms for the Ramsey algebra search

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