CAPS in Z(2,n)

Kurz, Sascha

Serdica Journal of Computing (2009)

  • Volume: 3, Issue: 2, page 159-178
  • ISSN: 1312-6555

Abstract

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We consider point sets in (Z^2,n) 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.

How to cite

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Kurz, Sascha. "CAPS in Z(2,n)." Serdica Journal of Computing 3.2 (2009): 159-178. <http://eudml.org/doc/11446>.

@article{Kurz2009,
abstract = {We consider point sets in (Z^2,n) 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.},
author = {Kurz, Sascha},
journal = {Serdica Journal of Computing},
keywords = {Caps; Arcs; Affine Geometry; Collinearity; Integer Programming; Rings; Complete Caps; caps; arcs; affine geometry; collinearity; rings; complete caps; binary integer linear programming},
language = {eng},
number = {2},
pages = {159-178},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {CAPS in Z(2,n)},
url = {http://eudml.org/doc/11446},
volume = {3},
year = {2009},
}

TY - JOUR
AU - Kurz, Sascha
TI - CAPS in Z(2,n)
JO - Serdica Journal of Computing
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 3
IS - 2
SP - 159
EP - 178
AB - We consider point sets in (Z^2,n) 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.
LA - eng
KW - Caps; Arcs; Affine Geometry; Collinearity; Integer Programming; Rings; Complete Caps; caps; arcs; affine geometry; collinearity; rings; complete caps; binary integer linear programming
UR - http://eudml.org/doc/11446
ER -

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