منابع مشابه
Rigidity of packings
In Ludwig Danzer’s Habilitatiionsschrift [L. Danzer, Endliche Punktmengen auf der 2-Sphäre mit möglichst grossem minimalabstand, Habilitationsschrift, Göttingen, 1963] he initiated a study of the local nature of the packings from the point of view of whether their density can be increased by a small perturbation of the packing configuration. This is an abbreviated biased introduction to the the...
متن کاملRigidity of Infinite (circle) Packings
The nerve of a packing is a graph that encodes its combinatorics. The vertices of the nerve correspond to the packed sets, and an edge occurs between two vertices in the nerve precisely when the corresponding sets of the packing intersect. The nerve of a circle packing and other well-behaved packings, on the sphere or in the plane, is a planar graph. It was an observation of Thurston [Thl, Chap...
متن کاملNon-rigidity of Spherical Inversive Distance Circle Packings
We give a counterexample of Bowers-Stephenson's conjecture in the spherical case: spherical inversive distance circle packings are not determined by their inversive distances.
متن کاملCombinatorial Scalar Curvature and Rigidity of Ball Packings
Let M be a triangulated three-dimensional manifold. In this paper we define a combinatorial analogue of scalar curvature for M, and also a combinatorial analogue of conformal deformation of the metric. We further define a functional S on the combinatorial conformal deformation space, show that S is concave, and show that critical points of S correspond precisely to metrics of constant combinato...
متن کاملRigidity and the chessboard theorem for cube packings
Each packing of R by translates of the unit cube [0, 1) admits a decomposition into at most two parts such that if a translate of the unit cube is covered by one of them, then it also belongs to such a part.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2008
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2008.01.009