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2010
155views Management» more  TOC 2010»
14 years 4 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis
SODA
2010
ACM
175views Algorithms» more  SODA 2010»
15 years 6 months ago
Fast SDP Algorithms for Constraint Satisfaction Problems
The class of constraint satisfactions problems (CSPs) captures many fundamental combinatorial optimization problems such as Max Cut, Max q-Cut, Unique Games, and Max k-Sat. Recent...
David Steurer
CORR
2010
Springer
182views Education» more  CORR 2010»
14 years 9 months ago
Index coding via linear programming
Abstract Anna Blasiak Robert Kleinberg Eyal Lubetzky Index Coding has received considerable attention recently motivated in part by applications such as fast video-on-demand and e...
Anna Blasiak, Robert D. Kleinberg, Eyal Lubetzky
WG
2010
Springer
14 years 7 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
CORR
2010
Springer
117views Education» more  CORR 2010»
14 years 6 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev