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» Tight Lower Bounds for the Distinct Elements Problem
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FOCS
2002
IEEE
15 years 2 months 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
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
15 years 10 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
FAW
2009
Springer
144views Algorithms» more  FAW 2009»
15 years 2 months ago
Communication Complexity and Its Applications
Here we prove an asymptotically optimal lower bound on the information complexity of the k-party disjointness function with the unique intersection promise, an important special ca...
Andrew Chi-Chih Yao
CRYPTO
2006
Springer
111views Cryptology» more  CRYPTO 2006»
15 years 1 months ago
Tight Bounds for Unconditional Authentication Protocols in the Manual Channel and Shared Key Models
We address the message authentication problem in two seemingly different communication models. In the first model, the sender and receiver are connected by an insecure channel and...
Moni Naor, Gil Segev, Adam Smith
ECCC
2010
117views more  ECCC 2010»
14 years 8 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...