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STACS
2005
Springer
15 years 3 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
STACS
2005
Springer
15 years 3 months ago
A Polynomial Time Algorithm for Minimum Cycle Basis in Directed Graphs
Abstract. We consider the problem of computing a minimum cycle basis in a directed graph G with m arcs and n vertices. The arcs of G have non-negative weights assigned to them. We ...
Telikepalli Kavitha, Kurt Mehlhorn
STACS
2005
Springer
15 years 3 months ago
Worst-Case and Average-Case Approximations by Simple Randomized Search Heuristics
Abstract. In recent years, probabilistic analyses of algorithms have received increasing attention. Despite results on the average-case complexity and smoothed complexity of exact ...
Carsten Witt
STACS
2005
Springer
15 years 3 months ago
Information Theory in Property Testing and Monotonicity Testing in Higher Dimension
In property testing, we are given oracle access to a function f, and we wish to test if the function satisfies a given property P, or it is ε-far from having that property. In a...
Nir Ailon, Bernard Chazelle
STACS
2005
Springer
15 years 3 months ago
Quantum Interactive Proofs with Competing Provers
This paper studies quantum refereed games, which are quantum interactive proof systems with two competing provers: one that tries to convince the verifier to accept and the other...
Gus Gutoski, John Watrous