BOUNDING THE PROJECTIVE DIMENSION OF A SQUAREFREE MONOMIAL IDEAL VIA DOMINATION IN CLUTTERS.

We introduce the concept of edgewise domination in clutters and use it to provide an upper bound for the projective dimension of any squarefree monomial ideal. We then compare this bound to a bound given by Faltings. Finally, we study a family of clutters associated to graphs and compute dom-ination parameters for certain classes of these clutters. [ABSTRACT FROM AUTHOR]