Face Module for Realizable Z-matroids

Ivan Martino

Abstract


In this work, we define the face ring for a matroid over Z.  Its Hilbert series is, indeed, the expected specialization of the Grothendieck-Tutte polynomial defined by Fink and Moci in [10].

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DOI: https://doi.org/10.11575/cdm.v13i2.62737

DOI (PDF): https://doi.org/10.11575/cdm.v13i2.62737.g46831

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Contributions to Discrete Mathematics. ISSN: 1715-0868