Existence of Dynkin scanning trees for non-serial posets with positive Tits quadratic form

• Date: 2025
• Main Authors: Bondarenko, Vitaliy M., Styopochkina, Maryna V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: Tits quadratic form; non-serial positive poset; Hasse diagram; circuit rank; scanning tree; Dynkin diagram
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2368
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a finite undirected connected graph. The minimum number of edges that must be removed to make the graph acyclic is called the circuit rank of \(G\). If such edges are fixed, the graph that remains is called a spanning tree of \(G\). In this paper we study scanning trees of the Hasse dia...