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Depth and Stanley depth of powers of the edge ideals of some caterpillar and lobster trees. (English) Zbl 07831144

MSC:

13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
05E40 Combinatorial aspects of commutative algebra
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
13F55 Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes