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

Sascha Kurz

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

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arxiv 1401.4333 v1 pith:455EFTWW submitted 2014-01-17 math.CO

Sascha Kurz This is my paper · ORCID

classification math.CO

keywords capscardinalitymathbbarcscalledcompleteconsiderdetermination

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abstract

We consider point sets in $\mathbb{Z}_n^2$ 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 $n$.

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