DEPTH AND STANLEY DEPTH OF POWERS OF THE EDGE Depth and Stanley depth of powers of the edge ideals of some caterpillar and lobster trees

Abstract

Let S be a ring of polynomials in finitely many variables over a field. In this paper, we give lower bounds for depth and Stanley depth of modules of the type S/It for t ≥ 1, where I is the edge ideal of some caterpillar and lobster trees. These new bound