Ramsey theory in the -space with Chebyshev metric

DOI10.1070/RM9958zbMath1458.05251OpenAlexW3096595076MaRDI QIDQ5150142

A. A. Sagdeev, Andrey B. Kupavskii

Publication date: 9 February 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9958

Mathematics Subject Classification ID

Ramsey theory (05D10)

Related Items (11)

On Ramsey numbers for arbitrary sequences of graphs ⋮ Coverings of planar and three-dimensional sets with subsets of smaller diameter ⋮ Two-colorings of normed spaces with no long monochromatic unit arithmetic progressions ⋮ Two-Colorings of Normed Spaces without Long Monochromatic Unit Arithmetic Progressions ⋮ On stability of the independence number of a certain distance graph ⋮ On dividing sets into parts of smaller diameter ⋮ Asymptotics of the independence number of a random subgraph of the graph \(G(n, r, < s)\) ⋮ Estimate of the number of edges in subgraphs of a Johnson graph ⋮ Chromatic numbers of distance graphs without short odd cycles in rational spaces ⋮ Covering planar sets ⋮ Asymptotics of the independence number of a random subgraph of the graph \(G(n,r,<s)\)

Cites Work

• Transitive sets in Euclidean Ramsey theory
• Euclidean Ramsey theorems. I
• On a Frankl-Wilson theorem
• Exponentially Ramsey sets
• Coloring Distance Graphs and Graphs of Diameters
• A Partition Property of Simplices in Euclidean Space
• Permutation Groups in Euclidean Ramsey Theory
• Monochromatic equilateral triangles in the unit distance graph
• Unnamed Item

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