on the stanley depth of edge ideals of line and cyclic graphs
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ID: 184718
2015
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Abstract
We prove that the edge ideals of line and cyclic graphs and their quotient rings satisfy the Stanley conjecture. We compute the Stanley depth for the quotient ring of the edge ideal associated to a cycle graph of length n, given a precise formula for n ≡ 0, 2 (mod 3) and tight bounds for n ≡ 1 (mod 3). Also, we give bounds for the
Stanley depth of a quotient of two monomial ideals, in combinatorial terms.
| Reference Key |
cimpoeas2015romanianon
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|---|---|
| Authors | ;MIRCEA CIMPOEAS |
| Journal | journal of the chemical society b: physical organic |
| Year | 2015 |
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