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math.CO2021
Packed Words and Quotient Rings
Daniël Kroes, Brendon Rhoades
The coinvariant algebra is a quotient of the polynomial ring whose algebraic properties are governed by the combinatorics of permutations of length …
math.CO2019
Random graphs induced by Catalan pairs
Daniël Kroes, Sam Spiro
We consider Catalan-pair graphs, a family of graphs that can be viewed as representing certain interactions between pairs of objects which are enumerated by the Catalan numbers. In…