Packing of Congruent Spheres on a Sphere
Speaker:
Oleg Musin, University of Texas Rio Grande Valley
Date and Time:
Tuesday, November 15, 2011 - 9:30am to 10:30am
Abstract:
We consider several classical and new methods for upper bounds on densest packing of congruent spheres on a sphere:
(1) Fejes Toth's bound of circles packings (1943). Coxeter (1963) extended this bound for higher dimensions.
(2) Distance and irreducible graphs of circles packings [Schutte and van der Waerden (1951), Leech (1956), Danzer (1963)].
(3) Linear programming and SDP;
(4) Combination of (2) and (3).
