𝔖 Bobbio Scriptorium
✦   LIBER   ✦

PROBLEMS AND RESULTS IN COMBINATORIAL GEOMETRY

✍ Scribed by P. Erdös


Book ID
118722203
Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
510 KB
Volume
440
Category
Article
ISSN
0890-6564

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A problem in combinatorial geometry
✍ Yu. A. Brudnyi; B. D. Kotlyar 📂 Article 📅 1971 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 168 KB
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.