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» On Bounded Queries and Approximation
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COCO
1989
Springer
97views Algorithms» more  COCO 1989»
15 years 1 months ago
On the Structure of Bounded Queries to Arbitrary NP Sets
Kadin [6] showed that if the Polynomial Hierarchy (PH) has infinitely many levels, then for all k, PSAT[k] ⊂ PSAT[k+1]. This paper extends Kadin’s technique and shows that a p...
Richard Chang
FOCS
2008
IEEE
15 years 4 months ago
Size Bounds and Query Plans for Relational Joins
Relational joins are at the core of relational algebra, which in turn is the core of the standard database query language SQL. As their evaluation is expensive and very often domi...
Albert Atserias, Martin Grohe, Dániel Marx
AI
2010
Springer
14 years 10 months ago
Optimal query complexity bounds for finding graphs
We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of ...
Sung-Soon Choi, Jeong Han Kim
COCO
2007
Springer
94views Algorithms» more  COCO 2007»
15 years 4 months ago
Bounded Queries and the NP Machine Hypothesis
The NP machine hypothesis posits the existence of an ǫ > 0 and a nondeterministic polynomial-time Turing machine M which accepts the language 0∗ but for which no determinist...
Richard Chang, Suresh Purini
MOC
1998
66views more  MOC 1998»
14 years 9 months ago
Nonconforming finite element approximation of crystalline microstructure
Abstract. We consider a class of nonconforming finite element approximations of a simply laminated microstructure which minimizes the nonconvex variational problem for the deforma...
Bo Li, Mitchell Luskin