On Borsuk's problem for (0, 1)- and (-1, 0, 1)-polytopes in spaces of small dimensions

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