Publikationen in Zusammenarbeit mit Forschern von London School of Economics and Political Science (16)

2022

  1. Lattice conditional independence models and Hibi ideals

    Transactions of the London Mathematical Society, Vol. 9, Núm. 1, pp. 1-19

2021

  1. Algebraic Reliability of Multi-State k-out-of-n Systems

    Probability in the Engineering and Informational Sciences, Vol. 35, Núm. 4, pp. 903-927

2020

  1. Polarization and depolarization of monomial ideals with application to multi-state system reliability

    Journal of Algebraic Combinatorics, Vol. 51, Núm. 4, pp. 617-639

2019

  1. Algebraic algorithms for the reliability analysis of multi-state k-out-of-n systems

    ACM Communications in Computer Algebra, Vol. 53, Núm. 3, pp. 146-149

2018

  1. Efficient multicut enumeration of k-out-of-n:F and consecutive k-out-of-n:F systems

    Pattern Recognition Letters, Vol. 102, pp. 82-88

2017

  1. Types of signature analysis in reliability based on Hilbert series

    Journal of Symbolic Computation, Vol. 79, pp. 140-155

2016

  1. Generators of multiple failure ideals of k-out-of-n and consecutive k-out-of-n systems

    XV Encuentro de Álgebra computacional y aplicaciones: EACA 2016

  2. The algebraic method in tree percolation

    SIAM Journal on Discrete Mathematics, Vol. 30, Núm. 2, pp. 1193-1212

2015

  1. Hilbert functions in design for reliability

    IEEE Transactions on Reliability, Vol. 64, Núm. 1, pp. 83-93

2014

  1. Computational commutative algebra for tight network reliability bounds

    Safety, reliability and risk analysis: beyond the Horizon (CRC Press), pp. 1271

  2. Measuring the robustness of a network using minimal vertex covers

    Mathematics and Computers in Simulation, Vol. 104, pp. 82-94

2013

  1. Alexander duality in experimental designs

    Annals of the Institute of Statistical Mathematics, Vol. 65, Núm. 4, pp. 667-686

2012

  1. Betti numbers of polynomial hierarchical models for experimental designs

    Annals of Mathematics and Artificial Intelligence, Vol. 64, Núm. 4, pp. 411-426

2011

  1. Computational algebraic algorithms for the reliability of generalized k-out-of-n and related systems

    Mathematics and Computers in Simulation, Vol. 82, Núm. 1, pp. 68-78

2010

  1. Mincut ideals of two-terminal networks

    Applicable Algebra in Engineering, Communications and Computing, Vol. 21, Núm. 6, pp. 443-457

2009

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

    Journal of Symbolic Computation, Vol. 44, Núm. 9, pp. 1311-1325