F-vectors of minkowski additions of convex polytopes

Discrete and Computational Geometry

Volumn 37, Issue 4, 2007, Pages 503-516

  Fukuda, Komei ^a   Weibel, Christophe ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247590304     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-007-1310-2     Document Type: Article

References (10)

1. M. N. Broadie. A theorem about antiprisms. Linear Algebra AppL, 66:99-111, 1985.
2. K. Fukuda. From the zonotope construction to the Minkowski addition of convex polytopes. J. Symbolic Comput., 38(4): 1261-1272, 2004.
3. B.Grünbaum. Convex Polytopes, second edition. Volume 221 of Graduate Texts in Mathematics. Springer-Verlag, New York, 2003. Prepared and with a preface by Volker Kaibel, Victor Klee and Günter M. Ziegler.
4. P.McMullen. The maximum numbers of faces of a convex polytope. Mathematika, 17:179-184, 1970.
5. Y. Nesterov. Complementary symmetry of conjugate sets. Preprint, 2004.
6. J.-P. Petit. Spécification géométrique des produits: Méthode de détermination des tolérances. Application en conception assistée par ordinateur. Ph.D. thesis, Université de Savoie, 2004.
7. B. Sturmfels. Gröbner Bases and Convex Polytopes. Volume 8 of University Lecture Series. American Mathematical Society, Providence, RI, 1996.
8. B. Sturmfels. Polynomial equations and convex polytopes. Amer. Math. Monthly, 105(10):907-922, 1998.
9. C. Weibel. Minksum version 1.1. Mathematics Institute, EPF Lausanne, 2005. Available from http://roso.epfl.ch/cw/poly/public.php
10. G. M. Ziegler. Lectures on Polytopes. Volume 152 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1995.