In our problem we are given a set of customers, their positions on the
plane and their demands. Geometrically, directional antenna with
parameters $\alpha,\rho,R$ is a set
of points with radial coordinates $(\theta,r)$ such that
$\alpha \le \theta \le \alpha+\rho$ and $r \le R$. Given a set of
possible directional ... more >>>

An algorithm is presented for counting the number of maximum weight satisfying assignments of a 2SAT formula. The worst case running time of $O(\mbox{poly($n$)} \cdot 1.2461^n)$ for formulas with $n$ variables improves on the previous bound of $O(\mbox{poly($n$)} \cdot 1.2561^n)$ by Dahll\"of, Jonsson, and Wahlstr\"om . The weighted 2SAT counting ... more >>>