On the enumeration of labelled hypertrees and of labelled bipartite trees

Details On the enumeration of labelled hypertrees and of labelled bipartite trees On the enumeration of labelled hypertrees and of labelled bipartite trees

2011-02-14

arxiv.org/abs/1102.2708v1

Mathematics

Combinatorics

typo in formula (7) corrected

Scientific paper

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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