3 papers
math.CO2026
Combinatorial interpretation of the coefficients of the order polynomial of fence posets
Yakob Kahane
Given a fence poset P , we define a new statistic on permutations, denoted by blP, that provides a combinatorial interpretation of the coefficients of the order polynomial of P , a…
math.CO2025
A Proof of a conjecture of Watanabe--Yoshida via Ehrhart Theory
Yakob Kahane
In 2005, Watanabe and Yoshida formulated a conjecture for a lower bound of the Hilbert-Kunz multiplicity of local rings that was recently settled by Meng using analytic methods. Mo…
math.CO2024
Differential transcendence and walks on self-similar graphs
Yakob Kahane, Marni Mishna
Symmetrically self-similar graphs are an important type of fractal graph. Their Green functions satisfy order one iterative functional equations. We show when the branching number…