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math.CO2023
Forest polynomials and the class of the permutahedral variety
Philippe Nadeau, Vasu Tewari
We study a basis of the polynomial ring that we call forest polynomials. This family of polynomials is indexed by a combinatorial structure called indexed forests and permits sever…
math.CO2023
-partitions with flags and back stable quasisymmetric functions
Philippe Nadeau, Vasu Tewari
Stanley's theory of -partitions is a standard tool in combinatorics. It can be extended to allow for the presence of a restriction, that is a given maximal value for partiti…