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» On a Geometric Generalization of the Upper Bound Theorem
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CCCG
2010
14 years 11 months ago
On the variance of random polygons
A random polygon is the convex hull of uniformly distributed random points in a convex body K R2 . General upper bounds are established for the variance of the area of a random p...
William L. Steiger, Imre Bárány
ORDER
2002
107views more  ORDER 2002»
14 years 9 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
CADE
1998
Springer
15 years 1 months ago
Admissibility of Fixpoint Induction over Partial Types
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
Karl Crary
COMPGEOM
2009
ACM
15 years 4 months ago
Coresets for polytope distance
Following recent work of Clarkson, we translate the coreset framework to the problems of finding the point closest to the origin inside a polytope, finding the shortest distance...
Bernd Gärtner, Martin Jaggi
TWC
2008
109views more  TWC 2008»
14 years 9 months ago
Service Time Approximation in IEEE 802.11 Single-Hop Ad Hoc Networks
Abstract-- This paper investigates the near-memoryless behavior of the service time for IEEE 802.11 saturated single-hop ad hoc networks. We show that the number of packets success...
Atef Abdrabou, Weihua Zhuang