On combinatorial properties of minimal posets with nonnegative Tits quadratic form

• Дата: 2026
• Автор: Styopochkina, Maryna V.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2026
• Теми: height; neighboring elements; Hasse diagram; Dynkin diagram; Tits quadratic form; \(NP\)-critical poset; coefficient of transitivity; 06A07; 11E04
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2490
• Назва журналу: Algebra and Discrete Mathematics

In this paper, we study combinatorial properties of finite posets connected with the negativity of their Tits quadratic form. We calculate the coefficients of transitivity for all minimal posets with nonnegative Tits quadratic form (such posets are called \(NP\)-critical and their number is 115 up t...