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On combinatorial properties of minimal posets with nonnegative Tits quadratic form

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...

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Збережено в:
Бібліографічні деталі
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
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Назва журналу:Algebra and Discrete Mathematics
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Репозитарії

Algebra and Discrete Mathematics
Опис
Резюме: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 to isomorphism and duality). Some relationships between these coefficients and the heights of posets are established.
DOI:10.12958/adm2490

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