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Decorated hypertrees
Authors:Bérénice Oger
Institution:Institut Camille Jordan, UMR 5208, Université Claude Bernard Lyon 1, Bât. Jean Braconnier n°101, 43 Bd du 11 novembre 1918, 69622 Villeurbanne Cedex, France
Abstract:C. Jensen, J. McCammond and J. Meier have used weighted hypertrees to compute the Euler characteristic of a subgroup of the automorphism group of a free product. Weighted hypertrees also appear in the study of the homology of the hypertree poset. We link them to decorated hypertrees after a general study on decorated hypertrees, which we enumerate using box trees.
Keywords:Enumerative combinatorics  Species  Hypertrees  Symmetric group action
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