𝔖 Bobbio Scriptorium
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A problem in combinatorial geometry

✍ Scribed by Yu. A. Brudnyi; B. D. Kotlyar


Book ID
112450832
Publisher
SP MAIK Nauka/Interperiodica
Year
1971
Tongue
English
Weight
168 KB
Volume
11
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES


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.

On a problem in combinatorial geometry
✍ P. ErdΓΆs; G. Purdy; E.G. Straus πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 778 KB