Geodesic
Chromatic Numbers of Metric Spaces
Contemporary Mathematics. Fundamental Directions, Geometry and mechanics, Tome 23 (2007), pp. 165-168.

Voir la notice de l'article provenant de la source Math-Net.Ru

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A. M. Raigorodskii. Chromatic Numbers of Metric Spaces. Contemporary Mathematics. Fundamental Directions, Geometry and mechanics, Tome 23 (2007), pp. 165-168. http://geodesic.mathdoc.fr/item/CMFD_2007_23_a8/

[1] Raigorodskii A. M., “O khromaticheskom chisle prostranstva”, Usp. mat. nauk, 55:2 (2000), 147–148 | MR | Zbl

[2] Raigorodskii A. M., “Problema Borsuka i khromaticheskie chisla nekotorykh metricheskikh prostranstv”, Usp. mat. nauk, 56:1 (2001), 107–146 | MR | Zbl

[3] Raigorodskii A. M., “O khromaticheskom chisle prostranstva s metrikoi $l_q$”, Usp. mat. nauk, 59:5 (2004), 161–162 | MR | Zbl

[4] Raigorodskii A. M., “O khromaticheskikh chislakh metricheskikh prostranstv”, Chebyshevskii sb., 5, no. 1(9), 2004, 175–185. | MR

[5] Raigorodskii A. M., “Problema Erdesha–Khadvigera i khromaticheskie chisla konechnykh geometricheskikh grafov”, Mat. sb., 196:1 (2005), 123–156 | MR | Zbl

[6] Kharari F., Teoriya grafov, Mir, M., 1973 | MR

[7] Benda M., Perles M., “Colorings of metric spaces”, Geombinatorics, 2000, no. 9, 113–126 | MR | Zbl

[8] de Bruijn N. G., Erdős P., “A colour problem for infinite graphs and a problem in the theory of relations”, Proc. Koninkl. Nederl. Acad. Wet., Ser. A, 54:5 (1951), 371–373 | Zbl

[9] Frankl P., Wilson R., “Intersection theorems with geometric consequences”, Combinatorica, 1 (1981), 357–368 | DOI | MR | Zbl

[10] Hadwiger H., “Ungelöste Probleme”, Elem. Math., 16:40 (1961), 103–104 | MR

[11] Larman D. G., Rogers C. A., “The realization of distances within sets in Euclidean space”, Mathematika, 19 (1972), 1–24 | DOI | MR | Zbl

[12] Soifer A., “Chromatic number of the plane: a historical essay”, Geombinatorics, 1991, 13–15 | MR | Zbl

[13] Soifer A., Mathematical coloring book, Center for Excellence in Mathematical Education, 1997

[14] Székely L. A., “Erdős on unit distances and the Szemerédi–Trotter theorems”, Paul Erdős and his Mathematics, Bolyai Ser. Budapest, 11, J. Bolyai Math. Soc., 2002, 649–666 | MR | Zbl