Enveloppe convexe des hyperplans d’un espace affine fini

Olivier Anglada; Jean François Maurras

RAIRO - Operations Research - Recherche Opérationnelle (2003)

  • Volume: 37, Issue: 4, page 213-219
  • ISSN: 0399-0559

Abstract

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In this paper we characterize by the facets the convex hull of the characteristic vectors of the hyperplanes of a finite projective space and of a finite affine space.

How to cite

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Anglada, Olivier, and Maurras, Jean François. "Enveloppe convexe des hyperplans d’un espace affine fini." RAIRO - Operations Research - Recherche Opérationnelle 37.4 (2003): 213-219. <http://eudml.org/doc/244810>.

@article{Anglada2003,
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.},
author = {Anglada, Olivier, Maurras, Jean François},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {fre},
number = {4},
pages = {213-219},
publisher = {EDP-Sciences},
title = {Enveloppe convexe des hyperplans d’un espace affine fini},
url = {http://eudml.org/doc/244810},
volume = {37},
year = {2003},
}

TY - JOUR
AU - Anglada, Olivier
AU - Maurras, Jean François
TI - Enveloppe convexe des hyperplans d’un espace affine fini
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2003
PB - EDP-Sciences
VL - 37
IS - 4
SP - 213
EP - 219
AB - 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.
LA - fre
UR - http://eudml.org/doc/244810
ER -

References

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  1. [1] 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. Zbl0951.52007MR1737332
  2. [2] 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. Zbl0316.90078MR389664
  3. [3] J.F. Maurras, An exemple of dual polytopes in the unit hypercube. Ann. Discrete Math. 1 (1977) 391-392. Zbl0361.52004MR500543
  4. [4] J.F. Maurras, Convex hull of the edges of a graph and near bipartite graphs. Discrete Math. 46 (1983) 257-265. Zbl0524.05060MR716446
  5. [5] J.F. Maurras, k-arcs et designs dans les plans projectifs finis. Document interne du GRTC, Marseille (1986). 
  6. [6] J.F. Maurras, The Line Polytope of a finite Affine Plane. Discrete Math. 115 (1993) 283-286. Zbl0774.51001MR1217638
  7. [7] B. Segre, Lectures on Modern Geometry. Edizioni Cremonese, Roma (1961). Zbl0095.14802MR131192

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