Finite Euclidean Ramsey theory
From MaRDI portal
Publication:1906140
DOI10.1016/S0097-3165(96)80006-9zbMath0842.05064MaRDI QIDQ1906140
Publication date: 13 May 1996
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Generalized Ramsey theory (05C55) Erd?s problems and related topics of discrete geometry (52C10) Ramsey theory (05D10)
Related Items (9)
On the chromatic numbers of low-dimensional spaces ⋮ Lifting of a bound for the chromatic number of \(\mathbb R^n\) to higher dimensions ⋮ Edge-Ramsey theory ⋮ Large cycles in generalized Johnson graphs ⋮ On the chromatic number of \(\mathbb R^4\) ⋮ On the chromatic number of \(\mathbb{R}^{9}\) ⋮ Distance graphs with large chromatic numbers and small clique numbers ⋮ On the chromatic numbers of small-dimensional Euclidean spaces ⋮ A remark on lower bounds for the chromatic numbers of spaces of small dimension with metrics \(\ell_1\) and \(\ell_2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ramsey type theorems in the plane
- A finite set intersection theorem
- Intersection theorems with geometric consequences
- All right triangles are Ramsey in \(E^2\)!
- Recent trends in Euclidean Ramsey theory
- Euclidean Ramsey theorems. I
- Bounds on the measurable chromatic number of \({\mathbb{R}}\)
- Edge-Ramsey theory
- Distances realized by sets covering the plane
- A Partition Property of Simplices in Euclidean Space
- All Triangles are Ramsey
- Forbidden Intersections
- 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
This page was built for publication: Finite Euclidean Ramsey theory