We introduce the notion of width bounded geometric separator,
develop the techniques for its existence as well as algorithm, and
apply it to obtain a $2^{O(\sqrt{n})}$ time exact algorithm for the
disk covering problem, which seeks to determine the minimal number
of fixed size disks to cover $n$ points on ... more >>>

We show that for every $r \ge 2$ there exists $\epsilon_r > 0$ such that any $r$-uniform hypergraph on $m$ edges with bounded vertex degree has a set of at most $(\frac{1}{2} - \epsilon_r)m$ edges the removal of which breaks the hypergraph into connected components with at most $m/2$ edges. ... more >>>