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» Some Algorithmic Problems in Polytope Theory
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CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 4 months ago
Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
Roman Vershynin
COMPGEOM
1995
ACM
13 years 8 months ago
How Good are Convex Hull Algorithms?
A convex polytope P can be speci ed in two ways: as the convex hull of the vertex set V of P, or as the intersection of the set H of its facet-inducing halfspaces. The vertex enum...
David Avis, David Bremner
COMPGEOM
2009
ACM
13 years 11 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer
VLSID
1994
IEEE
124views VLSI» more  VLSID 1994»
13 years 9 months ago
ILP-Based Scheduling with Time and Resource Constraints in High Level Synthesis
In this paper, we present a formal analysis of the constraints of the scheduling problem, and evaluate the structure of the scheduling polytope described by those constraints. Pol...
Samit Chaudhuri, Robert A. Walker