VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • The reverse Kakeya problem
    Bae, Sang Won ...
    We prove a generalization of Pál's conjecture from 1921: if a convex shape ▫$P$▫ can be placed in any orientation inside a convex shape ▫$Q$▫ in the plane, then ▫$P$▫ can also be turned continuously ... through 360° inside ▫$Q$▫. We also prove a lower bound of ▫$\Omega(m \, n^2)$▫ on the number of combinatorially distinct maximal placements of a convex ▫$m$▫-gon ▫$P$▫ in a convex ▫$n$▫-gon ▫$Q$▫. This matches the upper bound proven by Agarwal et al.
    Vir: Advances in geometry. - ISSN 1615-715X (Vol. 21, iss. 1, Jan. 2021, str. 75-84)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 48386307

vir: Advances in geometry. - ISSN 1615-715X (Vol. 21, iss. 1, Jan. 2021, str. 75-84)
loading ...
loading ...
loading ...