On the enumeration of labelled hypertrees and of labelled bipartite trees

Published 14 Feb 2011 in math.CO | (1102.2708v1)

Abstract: We give a simple formula for the number of hypertrees with $k$ hyperedges of given sizes and $n+1$ labelled vertices with prescribed degrees. A slight generalization of this formula counts labelled bipartite trees with prescribed degrees in each class of vertices.

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Roland Bacher

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