On a problem of Erdös concerning a 3-coloring of the unit sphere

Autor:	G. J. Simmons
Rok vydání:	1974
Předmět:	Discrete mathematics Combinatorics Vertex (graph theory) Unit sphere Colored Discrete Mathematics and Combinatorics Equilateral triangle Inscribed figure Mathematics Theoretical Computer Science
Zdroj:	Discrete Mathematics. 8(1):81-84
ISSN:	0012-365X
DOI:	10.1016/0012-365x(74)90112-5
Popis:	A slight variation of a problem posed by P. Erdös asks: “Can the points on the unit sphere be colored with three colors so that every inscribed equilateral triangle of side √3 has a vertex of each color?”. We show that no such 3-coloring is possible.
Databáze:	OpenAIRE
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