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» The Instance Complexity Conjecture
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FOCS
2008
IEEE
15 years 10 months ago
On the Union of Cylinders in Three Dimensions
We show that the combinatorial complexity of the union of n infinite cylinders in R3 , having arbitrary radii, is O(n2+ε ), for any ε > 0; the bound is almost tight in the w...
Esther Ezra
GECCO
2005
Springer
220views Optimization» more  GECCO 2005»
15 years 9 months ago
Scale invariant pareto optimality: a meta--formalism for characterizing and modeling cooperativity in evolutionary systems
This article describes a mathematical framework for characterizing cooperativity in complex systems subject to evolutionary pressures. This framework uses three foundational compo...
Mark Fleischer
STOC
2007
ACM
85views Algorithms» more  STOC 2007»
16 years 4 months ago
Faster integer multiplication
For more than 35 years, the fastest known method for integer multiplication has been the Sch?onhage-Strassen algorithm running in time O(n log n log log n). Under certain restricti...
Martin Fürer
STOC
2009
ACM
118views Algorithms» more  STOC 2009»
15 years 10 months ago
How long does it take to catch a wild kangaroo?
The discrete logarithm problem asks to solve for the exponent x, given the generator g of a cyclic group G and an element h ∈ G such that gx = h. We give the first rigorous pro...
Ravi Montenegro, Prasad Tetali
135
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FOCS
2009
IEEE
15 years 10 months ago
Smoothed Analysis of Multiobjective Optimization
Abstract— We prove that the number of Pareto-optimal solutions in any multiobjective binary optimization problem with a finite number of linear objective functions is polynomial...
Heiko Röglin, Shang-Hua Teng