Polygonal Dissections and Reversions of Series

The Catalan numbers \(C_k\) were first studied by Euler, in the context of enumerating triangulations of polygons \(P_{k+2}\). Among the many generalizations of this sequence, the Fuss-Catalan numbers \(C^{(d)}_k\) count enumerations of dissections of polygons \(P_{k(d-1)+2}\) into \((d+1)\)-gons. I...

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Veröffentlicht in:	arXiv.org 2014-01
Hauptverfasser:	Schuetz, Alison, Whieldon, Gwyneth
Format:	Artikel
Sprache:	eng
Schlagworte:	Dissection Mathematics - Combinatorics Polygons Polynomials
Online-Zugang:	Volltext
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