We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Abstract. We investigate the online exploration problem of a shortsighted mobile robot moving in an unknown cellular room without obstacles. The robot has a very limited sensor; it...
Christian Icking, Thomas Kamphans, Rolf Klein, Elm...
We show that quantum circuits cannot be made faulttolerant against a depolarizing noise level of ˆθ = (6 − 2 √ 2)/7 ≈ 45%, thereby improving on a previous bound of 50% (du...
Harry Buhrman, Richard Cleve, Monique Laurent, Noa...
A geometric graph is a simple graph G = (V, E) with an embedding of the set V in the plane such that the points that represent V are in general position. A geometric graph is said...
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...