Edge-Ramsey theory

DOI10.1007/BF02711499zbMath0849.05065MaRDI QIDQ1913602

Yanyan Li

Publication date: 5 November 1996

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

zbMATH Keywords

cross polytopeEuclidean-Ramsey theoryedge-configurationedge-Ramseyedge-Ramsey polytopesmeasure polytope

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Erd?s problems and related topics of discrete geometry (52C10) Ramsey theory (05D10)

Related Items (3)

Finite Euclidean Ramsey theory ⋮ All regular polytopes are Ramsey ⋮ Exponentially Ramsey sets

Cites Work

• Ramsey type theorems in the plane
• A finite set intersection theorem
• Intersection theorems with geometric consequences
• All right triangles are Ramsey in \(E^2\)!
• Euclidean Ramsey theorems. I
• Bounds on the measurable chromatic number of \({\mathbb{R}}\)
• Finite Euclidean Ramsey theory
• Distances realized by sets covering the plane
• A Partition Property of Simplices in Euclidean Space
• All Triangles are Ramsey
• Forbidden Intersections
• Permutation Groups in Euclidean Ramsey Theory
• Euclidean Ramsey theorems on the n‐sphere
• Covering space with convex bodies
• The realization of distances within sets in Euclidean space
• Simultaneous Packing and Covering in Euclidean Space
• On a problem in combinatorial geometry
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