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» Hardness assumptions in the foundations of theoretical compu...
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MFCS
1990
Springer
13 years 11 months ago
On Checking Versus Evaluation of Multiple Queries
The plausibility of computing the answers to many membership queries to a hard set with few queries is the subject of the theory of terseness. In this paper, we develop companion ...
William I. Gasarch, Lane A. Hemachandra, Albrecht ...
FOCS
2003
IEEE
14 years 29 days ago
On Worst-Case to Average-Case Reductions for NP Problems
We show that if an NP-complete problem has a non-adaptive self-corrector with respect to a samplable distribution then coNP is contained in NP/poly and the polynomial hierarchy co...
Andrej Bogdanov, Luca Trevisan
STACS
2007
Springer
14 years 1 months ago
Hard Metrics from Cayley Graphs of Abelian Groups
: Hard metrics are the class of extremal metrics with respect to embedding into Euclidean spaces: they incur Ω(logn) multiplicative distortion, which is as large as it can possib...
Ilan Newman, Yuri Rabinovich
FOCS
2000
IEEE
14 years 3 days ago
On the Hardness of Graph Isomorphism
We show that the graph isomorphism problem is hard under DLOGTIME uniform AC0 many-one reductions for the complexity classes NL, PL (probabilistic logarithmic space) for every loga...
Jacobo Torán
FOCS
1992
IEEE
13 years 11 months ago
Proof Verification and Hardness of Approximation Problems
The class PCP(f(n), g(n)) consists of all languages L for which there exists a polynomial-time probabilistic oracle machine that uses O(f(n)) random bits, queries O(g(n)) bits of ...
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu...