Decorated hypertrees |
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Authors: | Bérénice Oger |
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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 |
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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. |
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Keywords: | Enumerative combinatorics Species Hypertrees Symmetric group action |
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