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A combinatorial identity for rooted labeled forests

In this brief note a straightforward combinatorial proof for an identity directly connecting rooted forests and unordered set partitions is provided. Furthermore, references that put this type of identity in the context of forest volumes and multinomial identities are given.

Detalles Bibliográficos
Autor principal: Hackl, Benjamin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7357680/
https://www.ncbi.nlm.nih.gov/pubmed/32684636
http://dx.doi.org/10.1007/s00010-019-00662-9
Descripción
Sumario:In this brief note a straightforward combinatorial proof for an identity directly connecting rooted forests and unordered set partitions is provided. Furthermore, references that put this type of identity in the context of forest volumes and multinomial identities are given.