Given a finite set $S$ of points (i.e. the stations of a radio
network) on a $d$-dimensional Euclidean space and a positive integer
$1\le h \le |S|-1$, the \minrangeh{d} problem
consists of assigning transmission ranges to the stations so as
to minimize the total power consumption, provided ... more >>>

The study of the approximability properties of NP-hard
optimization problems has recently made great advances mainly due
to the results obtained in the field of proof checking. In a
recent breakthrough the APX-completeness of several important
optimization problems is proved, thus reconciling `two distinct
views of ... more >>>