We derive two general bounds for the depths of powers of squarefree monomial
ideals corresponding to hyperforests. These bounds generalize known bounds for
the depths of squarefree monomial ideals, which were given in terms of the
edgewise domination number of the corresponding hypergraphs and the lengths of
initially regular sequences with respect to the ideals.Comment: Minor revision. arXiv admin note: substantial text overlap with
  arXiv:1810.0151

Fouli, Louiza