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On the convex hull of projective planes

Published online by Cambridge University Press:  20 August 2008

Jean-François Maurras
Affiliation:
Laboratoire d'Informatique Fondamentale de Marseille, France, maurras@lif.univ-mrs.fr
Roumen Nedev
Affiliation:
Technical University - Sofia, FKSU, bld. K. Ohridski 8, Sofia 1000, Bulgaria; nedev@lif.univ-mrs.fr
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Abstract

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

Type
Research Article
Copyright
© EDP Sciences, ROADEF, SMAI, 2008

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