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» On the Homological Dimension of Lattices
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ORDER
2008
100views more  ORDER 2008»
13 years 6 months ago
Orthogonal Surfaces and Their CP-Orders
Orthogonal surfaces are nice mathematical objects which have interesting connections to various fields, e.g., integer programming, monomial ideals and order dimension. While orthog...
Stefan Felsner, Sarah Kappes
DCC
2007
IEEE
14 years 6 months ago
Multiple-Description Coding by Dithered Delta-Sigma Quantization
We address the connection between the multiple-description (MD) problem and Delta-Sigma quantization. The inherent redundancy due to oversampling in Delta-Sigma quantization, and ...
Jan Østergaard, Ram Zamir
DCG
2008
82views more  DCG 2008»
13 years 6 months ago
Schnyder Woods and Orthogonal Surfaces
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
Stefan Felsner, Florian Zickfeld
JCT
2011
108views more  JCT 2011»
13 years 1 months ago
The number of extreme points of tropical polyhedra
The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define...
Xavier Allamigeon, Stéphane Gaubert, Ricard...
DCG
2002
66views more  DCG 2002»
13 years 6 months ago
A Commutative Algebra for Oriented Matroids
Let V be a vector space of dimension d over a field K and let A be a central arrangement of hyperplanes in V. To answer a question posed by K. Aomoto, P. Orlik and H. Terao constru...
Raul Cordovil