Results 81 to 90 of about 887,096 (204)
ON THE STANLEY DEPTH OF EDGE IDEALS OF LINE AND CYCLIC GRAPHS
Romanian Journal of Mathematics and Computer Science, 2015 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 ≡
MIRCEA CIMPOEAS
doaj
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT We show that the removal of a type of reverse reactions preserves the absence of Hopf bifurcations in mass‐action reaction networks, or more precisely, the absence of single pairs of purely imaginary eigenvalues of the Jacobian of the system. The motivation is to answer the open question of whether the dual phosphorylation mechanism requiring ...
Elisenda Feliu, Nidhi Kaihnsa
wiley +1 more source
Linear resolutions and quasi-linearity of monomial ideals
, 2023 We introduce the notion of quasi-linearity and prove it is necessary for a monomial ideal to have a linear resolution and clarify all the quasi-linear monomial ideals generated in degree $2$.
Lu, Dancheng
core +2 more sources
Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee +2 more
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Repelled Point Processes With Application to Numerical Integration
Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1101-1133, September 2026.ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
wiley +1 more source
Bar code for monomial ideals [PDF]
Journal of Symbolic Computation, 2019 58 ...
openaire +8 more sources
The DGA of planar loops when 2n=4$2n=4$
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract The DGA of planar loops is a pictorial chain complex introduced in a recent paper of the author, Boyd, Randal‐Williams and Sroka, where a minimal model for it was given. In the first non‐trivial case, 2n=4$2n=4$, we give a new model which incorporates two natural ‘reflection’ involutions, as well as a more explicit description of the existing ...
Guy Boyde
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Depth and Stanley depth of the edge ideals of the powers of paths and cycles
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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Communications, 2014 The paper deals with the problem of the expression of associated prime ideals of monomial curves in the affine space A4 as set-theoretic complete intersections.
Michaela Holesova
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Strength and partition rank under limits and field extensions
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract The strength of a multivariate homogeneous polynomial is the minimal number of terms in an expression as a sum of products of lower‐degree homogeneous polynomials. Partition rank is the analogue for multilinear forms. Both ranks can drop under field extensions, and both can jump in a limit.
Arthur Bik +3 more
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