Tom Roby

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19982026

most citedEquivalence Classes of Permutations under Various Relations Generated by Constrained Transpositions

11 citations · 33 across the 13 of their papers we have counts for

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math.CO2024

Monomial identities in the Weyl algebra

Darij Grinberg, Tom Roby, Stephan Wagner +1

Motivated by a question and some enumerative conjectures of Richard Stanley, we explore the equivalence classes of words in the Weyl algebra, $\mathbf{k} \left< D,U \mid DU - UD =…

math.CO2024

Rowmotion on the chain of V's poset and whirling dynamics

Matthew Plante, Tom Roby

Given a finite poset $P$ , we study the _whirling_ action on vertex-labelings of $P$ with the elements ${0, 1, 2, \dots, k}$ . When such labelings are (weakly) order-reversing, we ca…