English

Enumerating triangulations by parallel diagonals

Combinatorics 2012-08-21 v1

Abstract

The triangulations of a regular convex polygon are enumerated according to the number of diagonals parallel to a fixed edge. The enumeration uses the Shapiro convolution identity, as well as an interpretation of this identity in terms of triangulations.

Keywords

Cite

@article{arxiv.1208.3915,
  title  = {Enumerating triangulations by parallel diagonals},
  author = {Alon Regev},
  journal= {arXiv preprint arXiv:1208.3915},
  year   = {2012}
}

Comments

5 figures

R2 v1 2026-06-21T21:52:47.962Z