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Emergence of geometry in a combinatorial universe

✍ Scribed by Baird, Paul


Book ID
120839275
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
355 KB
Volume
74
Category
Article
ISSN
0393-0440

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πŸ“œ SIMILAR VOLUMES


A problem in combinatorial geometry
✍ Yu. A. Brudnyi; B. D. Kotlyar πŸ“‚ Article πŸ“… 1971 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 168 KB
A Problem in Combinatorial Geometry
✍ Hall, R. R. πŸ“‚ Article πŸ“… 1976 πŸ› Oxford University Press 🌐 English βš– 96 KB
On a problem in combinatorial geometry
✍ P. ErdΓΆs; G. Purdy; E.G. Straus πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 778 KB
On a problem in combinatorial geometry
✍ VojtΔ›ch RΓΆdl πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 253 KB

Let us fix a number a, O< a < 2. We join two p0int.s on the unit sphere Sm in the real m-space iff their distance is a. Denote the obtained graph by g,,,. We prove that the chromatic number x(9@,,,) tends to infinity when m --+ a. This gives a positive answer to a question of P. Erdiis.