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» The Complexity of the Annihilating Polynomial
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JC
2011
102views more  JC 2011»
15 years 1 months ago
Tractability of tensor product problems in the average case setting
It has been an open problem to derive a necessary and sufficient condition for a linear tensor product problem S = {Sd} in the average case setting to be weakly tractable but not ...
Anargyros Papageorgiou, Iasonas Petras
ISSAC
2007
Springer
88views Mathematics» more  ISSAC 2007»
16 years 16 days ago
Polynomial-time algorithm for Hilbert series of Borel type ideals
In this paper, it is shown that the Hilbert series of a Borel type ideal may be computed within a complexity which is polynomial in Dn where n + 1 is the number of unknowns and D ...
Amir Hashemi
JCSS
2006
52views more  JCSS 2006»
15 years 6 months ago
LWPP and WPP are not uniformly gap-definable
Resolving an issue open since Fenner, Fortnow, and Kurtz raised it in [FFK94], we prove that LWPP is not uniformly gap-definable and that WPP is not uniformly gap-definable. We do...
Holger Spakowski, Rahul Tripathi
ASIACRYPT
2001
Springer
15 years 11 months ago
Responsive Round Complexity and Concurrent Zero-Knowledge
The number of communication rounds is a classic complexity measure for protocols; reducing round complexity is a major goal in protocol design. However, when the communication time...
Tzafrir Cohen, Joe Kilian, Erez Petrank
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
16 years 1 months ago
Lower Bounds on Quantum Multiparty Communication Complexity
A major open question in communication complexity is if randomized and quantum communication are polynomially related for all total functions. So far, no gap larger than a power o...
Troy Lee, Gideon Schechtman, Adi Shraibman