01.01.09 (Discrete mathematics and mathematical cybernetics)
Keywords:
Chromatic number of sphere, linear-algebraic method, the Frankl–Wilson
theorem, the Nelson–Hadwiger problem, distance graphs.
Subject:
Chromatic numbers of spheres, distance graphs
Main publications:
A. V. Bobu, O. A. Kostina, A. E. Kupriyanov, “Chisla nezavisimosti i khromaticheskie chisla nekotorykh distantsionnykh grafov”, Probl. peredachi inform., 51:2 (2015), 86–98; Problems Inform. Transmission, 51:2 (2015), 165–176
O. A. Kostina, A. M. Raigorodskii, “O nizhnikh otsenkakh khromaticheskogo chisla sfery”, Doklady RAN, 463:6 (2015), 639; Doklady Mathematics, 92:1 (2015), 500-502
O. A. Kostina, A. M. Raigorodskii, “O novykh nizhnikh otsenkakh khromaticheskogo chisla sfery”, Trudy MFTI, 7:2 (2015), 20–26
A. V. Bobu, O. A. Kostina, A. E. Kupriyanov, “Independence numbers and chromatic numbers of some distance graphs”, Probl. Peredachi Inf., 51:2 (2015), 86–98; Problems Inform. Transmission, 51:2 (2015), 165–176