Depth and sdepth of powers of the path ideal of a cycle graph. II
DOI:
https://doi.org/10.24193/subbmath.2025.4.01Keywords:
Stanley depth, depth, monomial ideal, cycle graphAbstract
Let Jn,m := (x1x2 · · · xm, x2x3 · · · xm+1, . . . , xn−m+1 · · · xn, xn−m+2 · · · xnx1, . . . , xnx1 · · · xm−1) be the m-path ideal of the cycle graph of length n, in the ring of polynomials S = K[x1, . . . , xn]. As a continuation of our previous paper, we prove several new results regarding depth(S/J t and sdepth(S/J t ), where t ≥ 1.
Mathematics Subject Classification (2010): 13C15, 13P10, 13F20.
Received 01 May 2025; Accepted 01 October 2025.
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