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math.AC2023★ 1 cited
Algebraic invariants of edge ideals of cubic circulant graphs
Bakhtawar Shaukat, Muhammad Ishaq, Ahtsham ul Haq +1
We obtain the exact values for depth and projective dimension and lower bounds for Stanley depth of the quotient rings of the edge ideals associated with all cubic circulant graphs…
math.AC2012
Monomial ideals of minimal depth and trivial modifications
Muhammad Ishaq
Let be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of having minimal depth. In particular, Stanley's conjectur…
math.AC2010★ 3 cited
Upper bounds for the Stanley depth
Muhammad Ishaq
Let be monomial ideals of a polynomial algebra over a field. Then the Stanley depth of is smaller or equal with the Stanley depth of . We…