Надіслати цю статтю On transitivity coefficients for minimal posets with non-positive quadratic Tits form
Анотація
Досліджуються комбінаторні властивості скінченних частково впорядкованих множин, пов’язаних з додатністю їх квадратичної форми Тітса (яка відіграє важливу роль у теорії матричних зображень частково впорядкованих множин). Для всіх мінімальних частково впорядкованих множин з недодатною квадратичною формою Тітса (такі множини називають P-критичними, і їх кількість, з точністю до ізоморфізму і дуальності, дорівнює 75) обчислено коефіцієнти транзитивності і встановлено деякі зв’язки між цими коефіцієнтами та висотами частково впорядкованих множин.
Зразок для цитування: V. M. Bondarenko, M. V. Styopochkina, “On transitivity coefficients for minimal posets with non-positive quadratic Tits form,” Мат. методи та фіз.-мех. поля, 64, No. 1, 5–14 (2021), https://doi.org/10.15407/mmpmf2021.64.1.5-14
Reprinted as: V. M. Bondarenko, M. V. Styopochkina, “On the transitivity coefficients for minimal posets with nonpositive quadratic Tits form,” J. Math. Sci., 274, No. 5, 583–593 (2023), https://doi.org/10.1007/s10958-023-06624-6
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Посилання
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