Séminaire Lotharingien de Combinatoire, 84B.72 (2020), 11 pp.
Rasendrahasina Vonjy and Ravelomanana
Vlady
Generating Functions of Some Families of
Directed Uniform Hypergraphs
Abstract.
In this paper, we count acyclic and strongly connected
uniform directed labeled hypergraphs. For these combinatorial
structures, we introduce a specific
generating function allowing us to
recover and generalize some results
on the number of directed acyclic graphs and the number of strongly connected directed graphs.
Received: November 20, 2019.
Accepted: February 20, 2020.
Final version: April 30, 2020.
The following versions are available: