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DCG
2010
87views more  DCG 2010»
15 years 6 months ago
Hamiltonian Submanifolds of Regular Polytopes
: We investigate polyhedral 2k-manifolds as subcomplexes of the boundary complex of a regular polytope. We call such a subcomplex k-Hamiltonian if it contains the full k-skeleton o...
Felix Effenberger, Wolfgang Kühnel
DCG
2010
53views more  DCG 2010»
15 years 6 months ago
A Revision of the Proof of the Kepler Conjecture
Abstract. The Kepler conjecture asserts that no packing of congruent balls in three-dimensional Euclidean space has density greater than that of the face-centered cubic packing. Th...
Thomas C. Hales, John Harrison, Sean McLaughlin, T...
186
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DISOPT
2010
132views more  DISOPT 2010»
15 years 6 months ago
General approximation schemes for min-max (regret) versions of some (pseudo-)polynomial problems
While the complexity of min-max and min-max regret versions of most classical combinatorial optimization problems has been thoroughly investigated, there are very few studies abou...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
ECCC
2010
79views more  ECCC 2010»
15 years 6 months ago
IP = PSPACE using Error Correcting Codes
The IP theorem, which asserts that IP = PSPACE (Lund et. al., and Shamir, in J. ACM 39(4)), is one of the major achievements of complexity theory. The known proofs of the theorem ...
Or Meir
136
Voted
ECCC
2010
89views more  ECCC 2010»
15 years 6 months ago
Estimating the unseen: A sublinear-sample canonical estimator of distributions
We introduce a new approach to characterizing the unobserved portion of a distribution, which provides sublinear-sample additive estimators for a class of properties that includes...
Gregory Valiant, Paul Valiant