English

Arrowhead and Diamond Diameters

Combinatorics 2022-05-03 v1

Abstract

{\em Arrowhead} and {\em diamond} are two hierarchical Cayley graphs defined on the triangular grid. In their undirected version, they are isomorphic and merely define two distinct representations of the same graph. This paper gives the expression of their diameter, in the oriented and non--oriented case. It also displays the full distribution of antipodals.

Cite

@article{arxiv.2205.00489,
  title  = {Arrowhead and Diamond Diameters},
  author = {Dominique Désérable},
  journal= {arXiv preprint arXiv:2205.00489},
  year   = {2022}
}

Comments

17 pages, 7 figures

R2 v1 2026-06-24T11:03:56.756Z