Etienne Phillips

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math.CO2023

Multivariate Fibonacci-like Polynomials and their Applications

Sejin Park, Etienne Phillips, Peikai Qi +2

The Fibonacci polynomials are defined recursively as $f_{n} (x) = x f_{n - 1} (x) + f_{n - 2} (x)$ , where $f_{0} (x) = 0$ and $f_{1} (x) = 1$ . We generalize these polynomials to an arbitrary number o…

math.CO2023

On ranked and bounded Kohnert posets

Laura Colmenarejo, Felix Hutchins, Nicholas Mayers +1

In this paper, we explore combinatorial properties of the posets associated with Kohnert polynomials. In particular, we determine a sufficient condition guaranteeing when such ``Ko…