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math.CO2015★ 1 cited
Annular Non-Crossing Matchings
Paul Drube, Puttipong Pongtanapaisan
It is well known that the number of distinct non-crossing matchings of half-circles in the half-plane with endpoints on the x-axis equals the Catalan number . Thi…
math.CO2015
Inversions of Semistandard Young Tableaux
Paul Drube
A tableau inversion is a pair of entries from the same column of a row-standard tableau that lack the relative ordering necessary to make the tableau column-standard. An -invert…
math.CO2015
Generalized Catalan Numbers and the Enumeration of Planar Embeddings
Jonathan E. Beagley, Paul Drube
The Raney numbers are a two-parameter generalization of the Catalan numbers that were introduced by Raney in his investigation of functional composition patterns \cite…