A Remark on Lower Bounds for the Chromatic Numbers of Spaces of Small Dimension with Metrics ℓ1 and ℓ2

Author:

Bogolyubsky L. I.,Raigorodskii A. M.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference53 articles.

1. A. Soifer, Mathematical Coloring Book. Mathematics of Coloring and the Colorful Life of Its Creators (Springer, New York, 2009).

2. L. A. Székely, “Erdős on the unit distances and the Szemerédi–Trotter theorems,” in Paul Erdős and his Mathematics, II, Bolyai Soc. Math. Stud. (János Bolyai Math. Soc., Budapest, 2002), Vol. 11, pp. 649–666.

3. A. M. Raigorodskii, “Cliques and cycles in distance graphs and graphs of diameters,” in Discrete Geometry and Algebraic Combinatorics, Contemp. Math. (Amer. Math. Soc., Providence, RI, 2014), Vol. 625, pp. 93–109.

4. A. M. Raigorodskii, “Coloring Distance Graphs and Graphs of Diameters,” in Thirty Essays on Geometric Graph Theory (Springer, New York, 2013), pp. 429–460.

5. A. M. Raigorodskii, “Borsuk’s problem and the chromatic numbers of some metric spaces,” Uspekhi Mat. Nauk 56 (1 (337)), 107–146 (2001) [RussianMath. Surveys 56 (1), 103–139 (2001)].

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