Applications of sign vectors and elementary vectors
===================================================

Visit the `repository on GitHub <https://github.com/MarcusAichmayr/sign_and_elementary_vector_applications>`_.

.. rubric:: Conferences and presentations

.. autosummary::
    :toctree: generated

    applications.ICMS_2024
    applications.MoRN_2025

.. rubric:: Other applications

.. autosummary::
    :toctree: generated

    applications.ecxs_symbolic

.. rubric:: References

.. [AMR24] Marcus S. Aichmayr, Stefan Müller, and Georg Regensburger.
    "A SageMath package for elementary and sign vectors with applications to chemical reaction networks".
    In: Mathematical software—ICMS 2024 (2024),
    pp. 155--164.
    doi: `10.1007/978-3-031-64529-7_17 <https://doi.org/10.1007/978-3-031-64529-7_17>`_.

.. [MHR19] Stefan Müller, Josef Hofbauer, and Georg Regensburger.
    "On the bijectivity of families of exponential/generalized polynomial maps".
    In: SIAM Journal on Applied Algebra and Geometry 3.3 (2019),
    pp. 412--438.
    doi: `10.1137/18M1178153 <https://doi.org/10.1137/18M1178153>`_.

.. [MPSZ25] Stefan Müller, Michael Predl, Diana Széliová and Jürgen Zanghellini.
    "Elementary vectors reveal minimal interactions in microbial communities".
    In: bioRxiv (2025)
    doi: `10.1101/2025.07.30.667663 <https://doi.org/10.1101/2025.07.30.667663>`_.