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DAGSTUHL
2000
14 years 11 months ago
Similarity Measure Computation of Convex Polyhedra Revisited
We study the computation of rotation-invariant similarity measures of convex polyhedra, based on Minkowski's theory of mixed volumes. To compute the similarity measure, a (mix...
Jos B. T. M. Roerdink, Henk Bekker
FOCS
2006
IEEE
15 years 3 months ago
Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...
Luis Rademacher, Santosh Vempala
DCG
2008
76views more  DCG 2008»
14 years 9 months ago
Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
In [GL] it was shown that a polytope with few vertices is far from being symmetric in the Banach-Mazur distance. More precisely, it was shown that Banach-Mazur distance between su...
E. D. Gluskin, A. E. Litvak
DCG
2006
90views more  DCG 2006»
14 years 9 months ago
Combinatorial Complexity of Convex Sequences
We show that the equation si1 + si2 +
Alex Iosevich, S. Konyagin, Michael Rudnev, V. Ten
COCOON
2009
Springer
15 years 4 months ago
Convex Recoloring Revisited: Complexity and Exact Algorithms
We take a new look at the convex path recoloring (CPR), convex tree recoloring (CTR), and convex leaf recoloring (CLR) problems through the eyes of the independent set problem. Th...
Iyad A. Kanj, Dieter Kratsch