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» Complexity Considerations, cSAT Problem Lower Bound
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STOC
2003
ACM
152views Algorithms» more  STOC 2003»
14 years 7 months ago
Cell-probe lower bounds for the partial match problem
Given a database of n points in {0, 1}d, the partial match problem is: In response to a query x in {0, 1, }d, find a database point y such that for every i whenever xi = , we have...
T. S. Jayram, Subhash Khot, Ravi Kumar, Yuval Raba...
FOCS
2003
IEEE
14 years 24 days ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 4 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
FOCS
2002
IEEE
14 years 13 days ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
ALT
1998
Springer
13 years 11 months ago
Lower Bounds for the Complexity of Learning Half-Spaces with Membership Queries
Exact learning of half-spaces over finite subsets of IRn from membership queries is considered. We describe the minimum set of labelled examples separating the target concept from ...
Valery N. Shevchenko, Nikolai Yu. Zolotykh