7 search results - page 1 / 2 » A Polytopal Generalization of Sperner's Lemma |
JCT
2002
13 years 4 months ago
2002
JCT
2006
13 years 5 months ago
2006
In 2002, De Loera, Peterson and Su proved the following conjecture of Atanassov: let T be a triangulation of a d-dimensional polytope P with n vertices v1, v2, . . . , vn; label t...
ENDM
2008
13 years 5 months ago
2008
The notion of polytopal map between two polytopal complexes is defined. Surprisingly, this definition is quite simple and extends naturally those of simplicial and cubical maps. It...
FOCS
2006
IEEE
13 years 11 months ago
2006
IEEE
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
CORR
2000
Springer
13 years 5 months ago
2000
Springer
Define a "slice" curve as the intersection of a plane with the surface of a polytope, i.e., a convex polyhedron in three dimensions. We prove that a slice curve develops...