We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
End-to-end data processing environments are often comprised of several independently-developed (sub-)systems, e.g. for engineering, organizational or historical reasons. Unfortuna...
We investigate the problem of monotonicity reconstruction, as defined in [3], in a parallel setting. We have oracle access to a nonnegative real-valued function f defined on domai...
The growing nature of databases, and the flexibility inherent in the SQL query language that allows arbitrarily complex formulations, can result in queries that take inordinate am...