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SIAMCOMP
2002
95views more  SIAMCOMP 2002»
13 years 4 months ago
Lower Bounds for Lucas Chains
Lucas chains are a special type of addition chains satisfying an extra condition: for the representation ak = aj + ai of each element ak in the chain, the difference aj - ai must a...
Martin Kutz
ECCC
2010
103views more  ECCC 2010»
13 years 1 days ago
A note on exponential circuit lower bounds from derandomizing Arthur-Merlin games
We present an alternate proof of the recent result by Gutfreund and Kawachi that derandomizing Arthur-Merlin games into PNP implies linear-exponential circuit lower bounds for ENP...
Scott Aaronson, Baris Aydinlioglu, Harry Buhrman, ...
APAL
2007
71views more  APAL 2007»
13 years 5 months ago
A lower bound for intuitionistic logic
We give an exponential lower bound on number of proof-lines in intuitionistic propositional logic, IL, axiomatised in the usual Frege-style fashion; i.e., we give an example of IL...
Pavel Hrubes
DCG
2006
96views more  DCG 2006»
13 years 5 months ago
k-Sets, Convex Quadrilaterals, and the Rectilinear Crossing Number of Kn
We use circular sequences to give an improved lower bound on the minimum number of ( k)
József Balogh, Gelasio Salazar
COMPGEOM
2009
ACM
13 years 10 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani