English

Enumerating Acyclic Digraphs by Descents

Combinatorics 2017-09-05 v1

Abstract

A descent of a labeled acyclic digraph is a directed edge xyx\to y with x>yx>y. In this paper, we find a recurrence for the number of labeled acyclic digraphs with a given number of descents.

Keywords

Cite

@article{arxiv.1709.00601,
  title  = {Enumerating Acyclic Digraphs by Descents},
  author = {Kassie Archer and Christina Graves},
  journal= {arXiv preprint arXiv:1709.00601},
  year   = {2017}
}
R2 v1 2026-06-22T21:31:25.502Z