Arithmetic Progressions and Tic-Tac-Toe Games

DOI10.1007/978-3-211-74280-8_3zbMath1243.91018OpenAlexW93765889MaRDI QIDQ3530426

József Beck

Publication date: 20 October 2008

Published in: Diophantine Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-211-74280-8_3

zbMATH Keywords

hypergrapharithmetic progressionstrategyprobabilistic methodderandomizationpositional game

Mathematics Subject Classification ID

Ramsey theory (05D10) Combinatorial games (91A46)

Cites Work

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• Two combinatorial theorems on arithmetic progressions
• Van der Waerden and Ramsey type games
• On positional games
• Positional games and the second moment method
• Primitive Recursive Bounds for Van Der Waerden Numbers
• Regularity and Positional Games
• Qubic: 4 × 4 × 4 Tic-Tac-Toe
• An algorithmic approach to the Lovász local lemma. I
• A Construction for Partitions Which Avoid Long Arithmetic Progressions
• Some remarks on the theory of graphs
• On a combinatorial game
• A new proof of Szemerédi's theorem

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