Themenvorschläge

  • Diskrete Brunn-Minkowski Ungleichung
    R.J. Gardner, P. Gronchi, A Brunn-Minkowski inequality for the integer lattice, Trans. Amer. Math. Soc. 353 (2001) 3995–4024 (electronic).
  • Gitterperiodische Punktmengen und Isoperimetrie
    H. Hadwiger, Gitterperiodische Punktmengen und Isoperimetrie, Monats. Math. 76 (1972) 410–418.
    A. Ros, The isoperimetric problem, Survey Talk. (2011), paper, 1–40.
  • John’s theorem for arbitrary pair of convex bodies
    A. Giannopoulos, I. Perissinaki, A. Tsolomitis, John’s theorem for an arbitrary pair of convex bodies, Geom. Dedicata. 84 (2001) 63–79.
  • Maximales Volumen von Gitterpolytope bei gegebener Anzahl innerer Gitterpunkte
    D. Hensley, Lattice vertex polytopes with interior lattice points, Pacific Journal of Mathematics. 105 (1983) 183–191.
  • Maximales Volumen von Gittersimplices mit einem inneren Gitterpunkt
    G. Averkov, J. Krümpelmann, B. Nill, Largest integral simplices with one interior integral point: solution of Hensley’s conjecture and related results, Adv. Math. 274 (2015) 118–166. doi:10.1016/j.aim.2014.12.035.
  • Projektionen von konvexen Körper (auf Koordinatenebenen)
    B. Bollob’as, A. Thomason, Projections of bodies and hereditary properties of hypergraphs, Bull. London Math. Soc. 27 (1995) 417–424. doi:10.1112/blms/27.5.417.
  • Inscribed simplices inside the cube
    C. Zong, The cube: a window to convex and discrete geometry, Cambridge University Press, Cambridge, 2006. doi:10.1017/CBO9780511543173.
  • Minimal number of triangulations of the cube
    C. Zong, The cube: a window to convex and discrete geometry, Cambridge University Press, Cambridge, 2006. doi:10.1017/CBO9780511543173.
    A. Bliss, F.E. Su, Lower Bounds for Simplicial Covers and Triangulations of Cubes, Discrete Comput Geom. 33 (2005) 669–686. doi:10.1007/s00454-004-1128-0.
  • Equilateral sets, z.B. in paper

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