From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Combinatorial interpretation of the coefficients of the order polynomial of fence posets
Yakob Kahane
The paper introduces a new permutation statistic that gives a combinatorial interpretation of the coefficients of the order polynomial of fence posets and, via matroid polytope dec…
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.CO2025
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…