On the convex hull of projective planes

Jean-François Maurras; Roumen Nedev

RAIRO - Operations Research (2008)

  • Volume: 42, Issue: 3, page 285-289
  • ISSN: 0399-0559

Abstract

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We study the finite projective planes with linear programming models. We give a complete description of the convex hull of the finite projective planes of order 2. We give some integer linear programming models whose solution are, either a finite projective (or affine) plane of order n, or a (n+2)-arc.

How to cite

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Maurras, Jean-François, and Nedev, Roumen. "On the convex hull of projective planes." RAIRO - Operations Research 42.3 (2008): 285-289. <http://eudml.org/doc/250408>.

@article{Maurras2008,
abstract = { We study the finite projective planes with linear programming models. We give a complete description of the convex hull of the finite projective planes of order 2. We give some integer linear programming models whose solution are, either a finite projective (or affine) plane of order n, or a (n+2)-arc. },
author = {Maurras, Jean-François, Nedev, Roumen},
journal = {RAIRO - Operations Research},
keywords = {Convex hull; finite projective plane.; convex hull; finite projective plane},
language = {eng},
month = {8},
number = {3},
pages = {285-289},
publisher = {EDP Sciences},
title = {On the convex hull of projective planes},
url = {http://eudml.org/doc/250408},
volume = {42},
year = {2008},
}

TY - JOUR
AU - Maurras, Jean-François
AU - Nedev, Roumen
TI - On the convex hull of projective planes
JO - RAIRO - Operations Research
DA - 2008/8//
PB - EDP Sciences
VL - 42
IS - 3
SP - 285
EP - 289
AB - We study the finite projective planes with linear programming models. We give a complete description of the convex hull of the finite projective planes of order 2. We give some integer linear programming models whose solution are, either a finite projective (or affine) plane of order n, or a (n+2)-arc.
LA - eng
KW - Convex hull; finite projective plane.; convex hull; finite projective plane
UR - http://eudml.org/doc/250408
ER -

References

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  16. T.S. Motzkin, H. Raiffa, G.L. Thompson and R.M. Thrall, The double description method, in H.W. Kuhn and A.W. Tucker, Eds., Contributions to theory of games, Vol. 2, Princeton University Press, Princeton (1953).  
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