On the lower bound for the van der Waerden function

DOI10.1134/S0001434610050342zbMath1317.11022OpenAlexW2086173715MaRDI QIDQ369596

Dmitriy A. Shabanov

Publication date: 18 September 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610050342

zbMATH Keywords

hypergrapharithmetic progressioncoloring of a setErdős estimateMoser estimatevan der Waerden function

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Ramsey theory (05D10) Arithmetic progressions (11B25)

Cites Work

• Two combinatorial theorems on arithmetic progressions
• An application of Lovász' local lemma-A new lower bound for the van der Waerden number
• Notes on Number Theory II : On a theorem of van der Waerden
• A Construction for Partitions Which Avoid Long Arithmetic Progressions
• Combinatorial Theorems on Classifications of Subsets of a Given Set
• A new proof of Szemerédi's theorem

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