On classifying the non-Tits P-critical posets

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• Main Authors: Bondarenko, V.M., Styopochkina, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188746
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On classifying the non-Tits P-critical posets / V.M. Bondarenko, M.V. Styopochkina // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 185-196. — Бібліогр.: 16 назв. — англ.

In 2005, the authors described all introduced by them P-critical posets (minimal finite posets with the quadratic Tits form not being positive); up to isomorphism, their number is 132 (75 if duality is considered). Later (in 2014) A. Polak and D. Simson offered an alternative way of proving by using...