Oriented posets, rank matrices and q-deformed Markov numbers

• Published in: Discrete mathematics Vol. 348; no. 2; p. 114256
• Main Author: Kantarcı Oğuz, Ezgi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.02.2025
• Subjects: Fence posets; Markov numbers; Rank polynomials; Fence posets; Rank polynomials; Markov numbers

We define oriented posets with corresponding rank matrices, where linking two posets by an edge corresponds to matrix multiplication. In particular, linking chains via this method gives us fence posets, and taking traces gives us circular fence posets. As an application, we give a combinatorial mode...