A. M. Raigorodskii, “Lovász' Theorem on the Chromatic Number of Spheres Revisited”, Mat. Zametki, 98:3 (2015), 470–471; Math. Notes, 98:3 (2015), 522

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Matematicheskie Zametki, 2015, Volume 98, Issue 3, Pages 470–471
DOI: https://doi.org/10.4213/mzm10818 (Mi mzm10818)

This article is cited in 10 scientific papers (total in 10 papers)

Brief Communications

Lovász' Theorem on the Chromatic Number of Spheres Revisited

A. M. Raigorodskii^ab

^a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^b Lomonosov Moscow State University

Full-text PDF (290 kB) Citations (10)

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DOI: https://doi.org/10.4213/mzm10818

Keywords: chromatic number of spheres, Lovász' theorem, Erdős' conjecture on the chromatic number of spheres, Knezer graph, Hamming space, Boolean cube.

Funding agency	Grant number
Russian Foundation for Basic Research	15-01-03530
Ministry of Education and Science of the Russian Federation	МД-6008.2015.1 НШ-2964.2014.1
This work was supported by the Russian Foundation for Basic Research under grant 15-01-03530, by the program for government support of young Russian scientists under grant MD-6008.2015.1, and by the program "Leading Scientific Schools" under grant NSh-2964.2014.1.

Received: 09.12.2014

English version:
Mathematical Notes, 2015, Volume 98, Issue 3, Pages 522–524
DOI: https://doi.org/10.1134/S0001434615090199

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. M. Raigorodskii, “Lovász' Theorem on the Chromatic Number of Spheres Revisited”, Mat. Zametki, 98:3 (2015), 470–471; Math. Notes, 98:3 (2015), 522–524

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https://www.mathnet.ru/eng/mzm10818

https://doi.org/10.4213/mzm10818

https://www.mathnet.ru/eng/mzm/v98/i3/p470

This publication is cited in the following 10 articles:

Horvath A.G., “Strongly Self-Dual Polytopes and Distance Graphs in the Unit Sphere”, Acta Math. Hung., 163:2 (2021), 640–651
A. V. Bobu, A. E. Kupriyanov, A. M. Raigorodskii, “A Generalization of Kneser Graphs”, Math. Notes, 107:3 (2020), 392–403
O. A. Kostina, “On Lower Bounds for the Chromatic Number of Spheres”, Math. Notes, 105:1 (2019), 16–27
Yu. A. Demidovich, “Distance Graphs with Large Chromatic Number and without Cliques of Given Size in the Rational Space”, Math. Notes, 106:1 (2019), 38–51
A. M. Raigorodskii, “On the stability of the independence number of a random subgraph”, Dokl. Math., 96:3 (2017), 628–630
S. G. Kiselev, A. M. Raigorodskii, “On the chromatic number of a random subgraph of the Kneser graph”, Dokl. Math., 96:2 (2017), 475–476
S.G. Kiselev, A.M. Raigorodskii, “O KhROMATIChESKOM ChISLE SLUChAINOGO PODGRAFA KNEZEROVSKOGO GRAFA, “Doklady Akademii nauk””, Doklady Akademii Nauk, 2017, no. 4, 375
A.M. Raigorodskii, “OB USTOIChIVOSTI ChISLA NEZAVISIMOSTI SLUChAINOGO PODGRAFA, “Doklady Akademii nauk””, Doklady Akademii Nauk, 2017, no. 6, 649
A. V. Bobu, A. E. Kupriyanov, “On chromatic numbers of close-to-Kneser distance graphs”, Problems Inform. Transmission, 52:4 (2016), 373–390
A. V. Bobu, A. E. Kupriyanov, A. M. Raigorodskii, “On chromatic numbers of nearly Kneser distance graphs”, Dokl. Math., 93:3 (2016), 267–269

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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