English

Caps in $\mathbf{\mathbb{Z}_n^2}$

Combinatorics 2014-01-20 v1

Abstract

We consider point sets in Zn2\mathbb{Z}_n^2 where no three points are on a line - also called caps or arcs. For the determination of caps with maximum cardinality and complete caps with minimum cardinality we provide integer linear programming formulations and identify some values for small nn.

Keywords

Cite

@article{arxiv.1401.4333,
  title  = {Caps in $\mathbf{\mathbb{Z}_n^2}$},
  author = {Sascha Kurz},
  journal= {arXiv preprint arXiv:1401.4333},
  year   = {2014}
}

Comments

13 pages, 7 tables, 3 figures

R2 v1 2026-06-22T02:48:14.486Z