Abstract
We consider classes of monomial ideals whose Betti diagrams have a special shape. Monomial ideals with such a Betti diagram satisfy the subadditivity condition for the maximal shifts in the resolution by obvious reasons, and they appear quite frequently in combinatorial contexts. Examples of ideals with special shape are the edge ideal as well as the vertex cover ideal of chordal graphs, whisker graphs and triangulated d-uniform hypergraphs.
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