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2008
122views more  TOC 2008»
11 years 5 months ago
Derandomizing the Ahlswede-Winter matrix-valued Chernoff bound using pessimistic estimators, and applications
: Ahlswede and Winter [IEEE Trans. Inf. Th. 2002] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound ...
Avi Wigderson, David Xiao
TOC
2008
95views more  TOC 2008»
11 years 5 months ago
On the LP Relaxation of the Asymmetric Traveling Salesman Path Problem
: This is a comment on the article "An O(logn) Approximation Ratio for the Asymmetric Traveling Salesman Path Problem" by C. Chekuri and M. P
Viswanath Nagarajan
TOC
2008
89views more  TOC 2008»
11 years 5 months ago
Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols
Abstract: This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and polynomials over GF(2)....
Emanuele Viola, Avi Wigderson
TOC
2008
71views more  TOC 2008»
11 years 5 months ago
The One-Way Communication Complexity of Hamming Distance
Abstract: Consider the following version of the Hamming distance problem for
T. S. Jayram, Ravi Kumar, D. Sivakumar
TOC
2008
104views more  TOC 2008»
11 years 5 months ago
Single Source Multiroute Flows and Cuts on Uniform Capacity Networks
For an integer h 1, an elementary h-route flow is a flow along h edge disjoint paths between a source and a sink, each path carrying a unit of flow, and a single commodity h-rout...
Henning Bruhn, Jakub Cerný, Alexander Hall,...
TOC
2008
94views more  TOC 2008»
11 years 5 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
TOC
2008
75views more  TOC 2008»
11 years 5 months ago
A Quantum Algorithm for the Hamiltonian NAND Tree
Abstract: We give a quantum algorithm for the binary NAND tree problem in the Hamiltonian oracle model. The algorithm uses a continuous time quantum walk with a running time propor...
Edward Farhi, Jeffrey Goldstone, Sam Gutmann
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