English

Counting friezes in type D_n

Combinatorics 2016-10-20 v3

Abstract

We prove that there is an finite number of friezes in type D_n, and we provide a formula to count them. As a corollary, we obtain formulas to count the number of friezes in types B_n, C_n and G_2. We conjecture finiteness (and precise numbers) for other Dynkin types.

Cite

@article{arxiv.1409.3698,
  title  = {Counting friezes in type D_n},
  author = {Bruce Fontaine and Pierre-Guy Plamondon},
  journal= {arXiv preprint arXiv:1409.3698},
  year   = {2016}
}

Comments

9 pages. v2: fixed figure and added links. v3: added introductory section and fixed typo in conjecture; made changes in presentation

R2 v1 2026-06-22T05:55:14.000Z