Convex hull of the hyperplans of a finite affine space

Olivier Anglada; Jean François Maurras

RAIRO - Operations Research (2010)

  • 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 37.4 (2010): 213-219. <http://eudml.org/doc/105291>.

@article{Anglada2010,
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},
language = {fre},
month = {3},
number = {4},
pages = {213-219},
publisher = {EDP Sciences},
title = {Enveloppe convexe des hyperplans d'un espace affine fini},
url = {http://eudml.org/doc/105291},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Anglada, Olivier
AU - Maurras, Jean François
TI - Enveloppe convexe des hyperplans d'un espace affine fini
JO - RAIRO - Operations Research
DA - 2010/3//
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/105291
ER -

References

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

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