RUS  ENG
Full version
JOURNALS // Mathematical Physics and Computer Simulation

Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, Issue 6(37), Pages 7–17 (Mi vvgum141)

Finding the vertices of the sum of two polytopes
T. A. Angelov

References

1. K. Leichtweiss, Convex Sets, Nauka Publ., M., 1985, 336 pp.  mathscinet
2. V.\;N. Malozemov, “Modified Simplex Method”, Seminar «DHA & CAGD». Izbrannye doklady (20 November 2010), 2010, 1–11 http://dha.spb.ru/reps10.shtml#1120
3. K. Fukuda, “From the zonotope construction to the Minkowski addition of convex polytopes”, J. Symbolic Comput., 38 (2004), 1261–1272  crossref  mathscinet  zmath
4. P. Gritzmann, B. Sturmfels, “Minkowski addition of polytopes: computational complexity and applications to Grobner bases”, SIAM J. Discrete Math., 6 (1993), 246–269  crossref  mathscinet  zmath
5. F.\;P. Preparata, M.\;I. Shamos, Computational Geometry: An Introduction, Springer, N. Y., 1985, 398 pp.  mathscinet
6. R. Rockafellar, Convex analysis, Princeton University Press, Princeton, 1970, 470 pp.  mathscinet  zmath
7. C. Weibel, Minkowski sums of polytopes, Ph.D. Thesis, EPFL, Lausanne, 2007, 114 pp.


© Steklov Math. Inst. of RAS, 2025