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math.CO2026
Maximal Order Type and Width of the h-Preorder on Finite Labeled Trees
Ilya Smirnov
We establish tight bounds for the width and maximal order type of the h-preorder on Q-labeled trees in terms of the corresponding invariants of well-quasi-order Q.
math.CO2022
Deformed graphical zonotopal algebras
Boris Shapiro, Ilya Smirnov, Arkady Vaintrob
We study certain filtered deformations of the external zonotopal algebra of a given graph parametrized by univariate polynomials. We establish some general properties of these alge…