𝔖 Bobbio Scriptorium
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A combinatorial problem

✍ Scribed by J. A. Thas

Publisher
Springer
Year
1973
Tongue
English
Weight
177 KB
Volume
1
Category
Article
ISSN
0046-5755

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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.