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LATIN
1998
Springer
14 years 6 days ago
The CREW PRAM Complexity of Modular Inversion
One of the long-standing open questions in the theory of parallel computation is the parallel complexity of the integer gcd and related problems, such as modular inversion. We pres...
Joachim von zur Gathen, Igor Shparlinski
ECCC
2008
168views more  ECCC 2008»
13 years 8 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
AMC
2010
126views more  AMC 2010»
13 years 8 months ago
On condition numbers of polynomial eigenvalue problems
In this paper, we investigate condition numbers of eigenvalue problems of matrix polynomials with nonsingular leading coefficients, generalizing classical results of matrix pertur...
Nikolaos Papathanasiou, Panayiotis Psarrakos
SIGECOM
2005
ACM
105views ECommerce» more  SIGECOM 2005»
14 years 1 months ago
Communication complexity of common voting rules
We determine the communication complexity of the common voting rules. The rules (sorted by their communication complexity from low to high) are plurality, plurality with runoff, ...
Vincent Conitzer, Tuomas Sandholm
LATA
2009
Springer
14 years 2 months ago
Decision Problems for Convex Languages
We examine decision problems for various classes of convex languages, previously studied by Ang and Brzozowski under the name “continuous languages”. We can decide whether a la...
Janusz A. Brzozowski, Jeffrey Shallit, Zhi Xu