Results 41 to 50 of about 520,160 (245)
New cases of the Strong Stanley Conjecture
, 2023 We make progress towards understanding the structure of Littlewood-Richardson coefficients $g_{λ,μ}^ν$ for products of Jack symmetric functions. Building on recent results of the second author, we are able to prove new cases of a conjecture of Stanley in which certain families of these coefficients can be expressed as a product of upper or lower hook ...
Alexandersson, Per, Mickler, Ryan
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DEPTH AND STANLEY DEPTH OF THE EDGE IDEALS OF SOME m-LINE GRAPHS AND m-CYCLIC GRAPHS WITH A COMMON VERTEX [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 We give some precise formulas for the depth of the quotient rings of the edge ideals associated to a graph consisting, either of the union of some line graphs L_{3r_1}},...,L_{3r_{k_1}}, L_{3s_1+1}, ...,L_{3s_{k_2}+1} and L_{3t_1+2},...,L_{3t_{k_3}+2} or
GUANGJUN ZHU
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On the Charney–Davis and Neggers–Stanley conjectures
Journal of Combinatorial Theory, Series A, 2005 Besides addressing the issues noted in the title of this wide-ranging paper, it also establishes an overall context in which a number of results of interest may find themselves proven or strengthened as conjectures. For the Neggers-Stanley conjecture this is particularly interesting since its ``overthrow'' in particular forms naturally has produced a ...
Reiner, Victor, Welker, Volkmar
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On a Conjecture of Stanley Depth of Squarefree Veronese Ideals [PDF]
Communications in Algebra, 2012 11 pages; Theorem 1.2 has been changed due to a gap in the previous ...
Ge, Maorong +2 more
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A Counterexample to a Conjecture about Positive Scalar Curvature
, 2013 Conjecture 1 of Stanley Chang: "Positive scalar curvature of totally nonspin manifolds" asserts that a closed smooth manifold M with non-spin universal covering admits a metric of positive scalar curvature if and only if a certain homological condition ...
Pape, Daniel, Schick, Thomas
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A converse to Stanley’s conjecture for 𝑆𝑙₂ [PDF]
Proceedings of the American Mathematical Society, 1994 We prove, in the case of Sl 2 \text {Sl}_2 , a converse to Stanley’s conjecture about Cohen-Macaulayness of invariant modules for reductive algebraic groups.
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Vertex Decomposability of Path Complexes and Stanley’s Conjectures
, 2022 Monomials are the link between commutative algebra and combinatorics. With a simplicial complex Δ, one can associate two square-free monomial ideals: the Stanley-Reisner ideal IΔ whose generators correspond to the non-face of Δ, or the facet ideal I(Δ) that is a generalization of edge ideals of graphs and whose generators correspond to the facets of Δ.
Mohammad, Ajdani, Seyed +1 more
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Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon +12 more
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Generic and special constructions of pure O-sequences
, 2014 It is shown that the h-vectors of Stanley-Reisner rings of three classes of matroids are pure O-sequences. The classes are (a) matroids that are truncations of other matroids, or more generally of Cohen-Macaulay complexes, (b) matroids whose dual is ...
Constantinescu, Alexandru +2 more
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On Plethysm conjectures of Stanley and Foulkes
Journal of Algebra, 2008 Independently Siemons and Wagner [\textit{I.J. Siemons} and \textit{O. Wagner}, Private communcation (1986)] and Stanley [\textit{R.P. Stanley}, Positivity problems and conjectures in algebraic combinatorics, in: Arnold, V. (ed.) et al., Mathematics: Frontiers and Perspectives.
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