2 papers
cond-mat.mtrl-sci2002
A Linear Programming Algorithm to Test for Jamming in Hard-Sphere Packings
Aleksandar Donev, Salvatore Torquato, Frank H. Stillinger +1
Jamming in hard-particle packings has been the subject of considerable interest in recent years. In a paper by Torquato and Stillinger [J. Phys. Chem. B, 105 (2001)], a classificat…
math.MG2001
Pushing disks apart - The Kneser-Poulsen conjecture in the plane
Károly Bezdek, Robert Connelly
We give a proof of the planar case of a longstanding conjecture of Kneser (1955) and Poulsen (1954). In fact, we prove more by showing that if a finite set of disks in the plane is…