𝔖 Bobbio Scriptorium
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On some problems of elementary and combinatorial geometry

✍ Scribed by Paul Erdös

Book ID
112746380
Publisher
Springer
Year
1975
Tongue
English
Weight
772 KB
Volume
103
Category
Article
ISSN
0373-3114

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📜 SIMILAR VOLUMES

On a problem in combinatorial geometry
On a problem in combinatorial geometry
✍ Vojtěch Rödl 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 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.