On Borsuk's problem for (0, 1)- and (-1, 0, 1)-polytopes in spaces of small dimensions
Автор: Goldshteyn V.B.
Журнал: Труды Московского физико-технического института @trudy-mipt
Рубрика: Проблема борсука
Статья в выпуске: 1 (13) т.4, 2012 года.
Бесплатный доступ
Classical Borsuk's conjecture is studied on dividing sets into parts of smaller diameters. The conjecture is proved for (0, 1)-vectors with n ≤ 9 and for (−1, 0, 1)-vectors with n ≤ 6. Here n is the dimension.
Borsuk's problem, diameter, coloring algorithms
Короткий адрес: https://sciup.org/142186210
IDR: 142186210
Статья научная