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CCA
2009
Springer
13 years 12 months ago
Real Computation with Least Discrete Advice: A Complexity Theory of Nonuniform Computability
It is folklore particularly in numerical and computer sciences that, instead of solving some general problem f : A → B, additional structural information about the input x ∈ A ...
Martin Ziegler
MST
2010
101views more  MST 2010»
13 years 3 months ago
Non-Uniform Reductions
Reductions and completeness notions form the heart of computational complexity theory. Recently non-uniform reductions have been naturally introduced in a variety of settings conc...
Harry Buhrman, Benjamin J. Hescott, Steven Homer, ...
AMC
2007
108views more  AMC 2007»
13 years 5 months ago
How robust are average complexity measures? A statistical case study
: Average case analysis forms an interesting and intriguing part of algorithm theory since it explains why some algorithms with bad worst-case complexity can better themselves in p...
Soubhik Chakraborty, Suman Kumar Sourabh
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 5 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
CPHYSICS
2007
126views more  CPHYSICS 2007»
13 years 5 months ago
Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates
We describe adaptive continuation algorithms for computing energy levels of the Bose–Einstein condensates (BEC) with emphasis on the rotating BEC. We show that the rotating BEC ...
S.-L. Chang, C.-S. Chien