9 citations · 18 across the 9 of their papers we have counts for
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math.CO2022★ 4 cited
Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux
Joseph Pappe, Stephan Pfannerer, Anne Schilling +1
We construct an injection from the set of -fans of Dyck paths (resp. vacillating tableaux) of length into the set of chord diagrams on that intertwines promotion and r…
math.CO2022★ 2 cited
A combinatorial proof of a symmetry for a refinement of the Narayana numbers
Miklós Bóna, Stoyan Dimitrov, Gilbert Labelle +4
We establish a tantalizing symmetry of certain numbers refining the Narayana numbers. In terms of Dyck paths, this symmetry is interpreted in the following way: if is t…
math.CO2022★ 1 cited
The Burge correspondence and crystal graphs
Joseph Pappe, Digjoy Paul, Anne Schilling
The Burge correspondence yields a bijection between simple labelled graphs and semistandard Young tableaux of threshold shape. We characterize the simple graphs of hook shape by pe…