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Enveloppe convexe des hyperplansd'un espace affine fini

Published online by Cambridge University Press:  15 March 2004

Olivier Anglada  and
Jean François Maurras
Olivier Anglada
Affiliation:
Laboratoire d'Informatique Fondamentale, UMR 6166, Université de la Mediterranée, Faculté des sciences de Luminy, 163 avenue de Luminy, 13288 Marseille, France; Anglada@lif.univ-mrs.fr., maurras@lif.univ-mrs.fr.
Jean François Maurras
Affiliation:
Laboratoire d'Informatique Fondamentale, UMR 6166, Université de la Mediterranée, Faculté des sciences de Luminy, 163 avenue de Luminy, 13288 Marseille, France; Anglada@lif.univ-mrs.fr., maurras@lif.univ-mrs.fr.
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Abstract

Dans cet article nous caractérisons, par les facettes, l'enveloppe convexe des vecteurs caractéristiques des hyperplans d'un espace projectif fini et d'un espace affine fini.

Type
Research Article
Information
RAIRO - Operations Research , Volume 37 , Issue 4: ROADEF 2002 , October 2003 , pp. 213 - 219
Copyright
© EDP Sciences, 2003

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References

T. Fleiner, V. Kaibel and G. Rote, Upper bounds on the maximal number of facets of 0/1-polytopes. Eur. J. Combin. 21 (2000) 121-130 .
J.F. Maurras, Some results on the convex hull of the hamiltonian cycles of symetric complete graphs, in Comb. Programming Method Application, Proc. N.A.T.O. advanced institute, edited by B. Roy (1975) 179-180.
Maurras, J.F., An exemple of dual polytopes in the unit hypercube. Ann. Discrete Math. 1 (1977) 391-392. CrossRef
J.F. Maurras, Convex hull of the edges of a graph and near bipartite graphs. Discrete Math. 46 (1983) 257-265 .
J.F. Maurras, k-arcs et designs dans les plans projectifs finis. Document interne du GRTC, Marseille (1986).
J.F. Maurras, The Line Polytope of a finite Affine Plane. Discrete Math. 115 (1993) 283-286 .
B. Segre, Lectures on Modern Geometry. Edizioni Cremonese, Roma (1961).