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math.CO2017
Kohnert polynomials
Sami Assaf, Dominic Searles
We associate a polynomial to any diagram of unit cells in the first quadrant of the plane using Kohnert's algorithm for moving cells down. In this way, for every weak composition o…
math.CO2017
Polynomial bases: positivity and Schur multiplication
Dominic Searles
We establish a poset structure on combinatorial bases of multivariate polynomials defined by positive expansions, and study properties common to bases in this poset. Included are t…