Betti numbers and minimal free resolutions for multi-state system reliability bounds

DOI10.1016/j.jsc.2008.06.002zbMath1193.13021OpenAlexW2014073516WikidataQ60246208 ScholiaQ60246208MaRDI QIDQ1030263

Henry P. Wynn, Eduardo Sáenz-de-Cabezón

Publication date: 1 July 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2008.06.002

zbMATH Keywords

Hilbert seriesBetti numbersmonomial idealscoherent systemsMayer-Vietoris treesmulti-state reability

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

Structure indicators for transportation graph analysis. I: Planar connected simple graphs ⋮ ALGEBRAIC RELIABILITY OF MULTI-STATE k-OUT-OF-n SYSTEMS ⋮ Multigraded Betti numbers without computing minimal free resolutions ⋮ Support posets of some monomial ideals ⋮ Mincut ideals of two-terminal networks ⋮ Polarization and depolarization of monomial ideals with application to multi-state system reliability ⋮ Sensitivity analysis of discrete preference functions using Koszul simplicial complexes ⋮ Sparse polynomial prediction ⋮ Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids ⋮ Computational algebraic algorithms for the reliability of generalized \(k\)-out-of-\(n\) and related systems ⋮ CIRCUIT INTEGRATION THROUGH LATTICE HYPERTERMS ⋮ Computing the support of monomial iterated mapping cones ⋮ The Algebraic Method in Tree Percolation

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