On the convex hull of projective planes

Issue		RAIRO Oper. Res. Volume 42, Number 3, July-September 2008


Page(s)		285 - 289
DOI		10.1051/ro:2008023
Published online		20 August 2008

RAIRO-Oper. Res. 42 (2008) 285-289
DOI: 10.1051/ro:2008023

On the convex hull of projective planes

Jean-François Maurras¹ and Roumen Nedev²

¹ Laboratoire d'Informatique Fondamentale de Marseille, France, maurras@lif.univ-mrs.fr
² Technical University - Sofia, FKSU, bld. K. Ohridski 8, Sofia 1000, Bulgaria; nedev@lif.univ-mrs.fr

Received December 1st, 2005. Accepted August 1st 2007 Published online 20 August 2008

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.

Mathematics Subject Classification. 5299, 0599

Key words: Convex hull, finite projective plane.

© EDP Sciences, ROADEF, SMAI 2008

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