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math.CO2011★ 5 cited
On the enumeration of labelled hypertrees and of labelled bipartite trees
Roland Bacher
We give a simple formula for the number of hypertrees with hyperedges of given sizes and labelled vertices with prescribed degrees. A slight generalization of this formul…
math.CO2011
Chromatic statistics for Catalan and Fuß-Catalan numbers
Roland Bacher, Christian Krattenthaler
We refine Catalan numbers and Fuß-Catalan numbers by introducing colour statistics for triangulations of polygons and -dimensional generalisations there-of which we call Fuß-Cat…