New upper bounds for the independence numbers of graphs with vertices in {−1, 0, 1} n and their applications to problems of the chromatic numbers of distance graphs

Author:

Ponomarenko E. I.,Raigorodskii A. M.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference32 articles.

1. P. Frankl and R. Wilson, “Intersection theorems with geometric consequences,” Combinatorica 1, 357–368 (1981).

2. E. I. Ponomarenko and A. M. Raigorodskii, “Improvement of the Frankl-Wilson theorem on the number of edges of the hypergraph with forbidden intersections,” Dokl. Ross. Akad. Nauk 454(3), 268–269 (2014) [DokladyMath. 89 (1), 59–60 (2014)].

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

4. A. M. Raigorodskii, “On the chromatic numbers of spheres in Euclidean spaces,” Dokl. Ross. Akad. Nauk 432(2), 174–177 (2010) [Dokl.Math. 81 (3), 379–382 (2010)].

5. A. M. Raigorodskii, “On the chromatic numbers of spheres in ℝn,” Combinatorica 32(1), 111–123 (2012).

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