  We describe the Betti numbers of the edge ideals $I(G)$ of uniform
hypergraphs $G$ such that $I(G)$ has linear graded free resolution. We give an
algebraic equation system and some inequalities for the components of the
$f$--vector of the clique complex of an arbitrary chordal graph. Finally we
present an explicit formula for the multiplicity of the Stanley-Reisner ring of
the edge ideals of any chordal graph.
