Results 1 to 10 of about 2,508,330 (246)
On the Stanley Depth of Powers of Monomial Ideals [PDF]
Mathematics, 2019 In 1982, Stanley predicted a combinatorial upper bound for the depth of any finitely generated multigraded module over a polynomial ring. The predicted invariant is now called the Stanley depth. Duval et al.
S. A. Seyed Fakhari
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Depth and Stanley depth of edge ideals associated to some line graphs
AIMS Mathematics, 2019 School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad ...
Zahid Iqbal, Muhammad Ishaq
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Depth and Stanley depth of symbolic powers of cover ideals of graphs [PDF]
Journal of Algebra, 2017 Let $G$ be a graph with $n$ vertices and let $S=\mathbb{K}[x_1,\dots,x_n]$ be the polynomial ring in $n$ variables over a field $\mathbb{K}$. Assume that $J(G)$ is the cover ideal of $G$ and $J(G)^{(k)}$ is its $k$-th symbolic power.
Fakhari, S. A. Seyed
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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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Values and bounds for depth and Stanley depth of some classes of edge ideals
AIMS Mathematics, 2021 In this paper we study depth and Stanley depth of the quotient rings of the edge ideals associated with the corona product of some classes of graphs with arbitrary non-trivial connected graph G.
Naeem Ud Din +2 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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Depth and Stanley depth of the edge ideals of the powers of paths and cycles [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
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AIMS Mathematics, 2022 In this paper, we study depth and Stanley depth of the quotient rings of the edge ideals associated to triangular and multi triangular snake and triangular and multi triangular ouroboros snake graphs.
Malik Muhammad Suleman Shahid +3 more
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Stanley Depth of Edge Ideals of Some Wheel-Related Graphs
Mathematics, 2019 Stanley depth is a geometric invariant of the module and is related to an algebraic invariant called depth of the module. We compute Stanley depth of the quotient of edge ideals associated with some familiar families of wheel-related graphs.
Jia-Bao Liu +4 more
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On the Stanley depth of powers of some classes of monomial ideals [PDF]
Bulletin of the Iranian Mathematical Society, 2016 Given arbitrary monomial ideals $I$ and $J$ in polynomial rings $A$ and $B$ over a field $K$, we investigate the Stanley depth of powers of the sum $I+J$, and their quotient rings, in $A\otimes_K B$ in terms of those of $I$ and $J$.
Cimpoeas, Mircea
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