Depth stability of symbolic powers of the edge ideal of a chordal graph

Let I be the edge ideal of a chordal graph and r be the index of irreducibility of I. It is shown that r − 1 provides an upper bound for the index of depth stability of symbolic powers of I. This bound is significantly smaller than the general known bound.

کلیدواژه ها:

depth ، symbolic power ، chordal graph