Results 11 to 20 of about 2,227,707 (156)
Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs [PDF]
HeliyonLet Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I.
Mujahid Ullah Khan Afridi +2 more
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Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters [PDF]
Journal of Commutative Algebra, 2015 12 pages.
Yi-Huang Shen
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On the Stanley depth of weakly polymatroidal ideals [PDF]
Archiv Der Mathematik, 2013 Let \(S=k[x_1,\dots,x_n ]\) with \(k\) a field. In [Invent. Math. 68, 175--193 (1982; Zbl 0516.10009)], \textit{R. P. Stanley} conjectured that for any finitely generated \(\mathbb{Z}^n\)-graded \(S\)-module \(M\) one always has that \(\mathrm{sdepth} (M)\geq \mathrm{depth} (M)\) i.e. that the Stanley depth is always greater than or equal to the depth.
Mohammad Reza Pournaki +1 more
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Stanley depth of squarefree monomial ideals
Journal of Algebra, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Young, Mitchel T Keller
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An algorithm to compute the Stanley depth of monomial ideals
Le Matematiche, 2008 In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monomial ideals. We describe also an implementation in CoCoA.
Giancarlo Rinaldo
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Stanley depth of monomial ideals with small number of generators
Open Mathematics, 2009 Cimpoeaş Mircea
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A non-partitionable Cohen–Macaulay simplicial complex [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partition- able. We disprove the conjecture by constructing an explicit counterexample.
Art M. Duval +3 more
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TRANSFER OF HEAVY METALS IN SOIL IN-PLUM CULTIVATION: A FIELD STUDY IN ADAMACHI IASI, ROMANIA [PDF]
Journal of Applied Life Sciences and Environment, 2023 Currently, global environmental concerns about heavy metal pollution are driven by rapid urbanization and industrial development. Therefore, a field study was conducted to assess the concentration of heavy metals (Pb, Co, Zn, Ni and Cu) in orchard soils ...
Mariana RUSU +5 more
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Stanley Depth of the Edge Ideal of Extended Gear Networks and Application in Circuit Analysis
Journal of Mathematics, 2022 Graph theory is widely used in power network analysis, complex network, and engineering calculation. Stanley depth is a geometric invariant of the module which is closely related to an algebraic invariant called depth of the module.
Guiling Zeng +4 more
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Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs
Mathematics, 2023 In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with r-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.
Ying Wang +5 more
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