Bounds for two multicolor Ramsey numbers concerning quadrilaterals

DOI10.1016/j.ffa.2022.101999zbMath1485.05112OpenAlexW4210818977MaRDI QIDQ2668087

Yaojun Chen, Xuemei Zhang, Cheng, T. C. Edwin

Publication date: 3 March 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2022.101999

zbMATH Keywords

wheelrandom graphquadrilateralstarGalois fieldmulticolor Ramsey numberSinger difference set

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Finite fields and commutative rings (number-theoretic aspects) (11T99) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Generalized Ramsey theory (05C55) Ramsey theory (05D10)

Cites Work

• The Ramsey numbers for cycles versus wheels of even order
• Generalized Ramsey theory for multiple colors
• A sufficient condition for all short cycles
• On three color Ramsey numbers \(R(C_4, C_4, K_{1, n})\)
• Über ein Problem von K. Zarankiewicz
• Ramsey Graphs and Block Designs. I
• The Ramsey number R(3, t) has order of magnitude t²/log t
• A remark on star-C4 and wheel-C4 Ramsey numbers
• On Graphs that do not Contain a Thomsen Graph
• Primes in short intervals
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