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Standard Complexes of Matroids and Lattice Paths
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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17
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Vietnam Journal of Mathematics, Volume 50, issue 3, pp. 763-779
Abstract
Motivated by Gröbner basis theory for finite point configurations, we define and study the class of standard complexes associated to a matroid. Standard complexes are certain subcomplexes of the independence complex that are invariant under matroid duality. For the lexicographic term order, the standard complexes satisfy a deletion-contraction-type recurrence. We explicitly determine the lexicographic standard complexes for lattice path matroids using classical bijective combinatorics.
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Funding Information: Supported by DFG grant STU 563/4-1 “Noncrossing phenomena in Algebra and Geometry”. This project was initiated in 2016 at the Mathematical Institute of Freie Universität Berlin when the authors collaborated over the summer at the “villa” of the Discrete Geometry Group. Publisher Copyright: © 2022, The Author(s).
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Engström, A, Sanyal, R & Stump, C 2022, 'Standard Complexes of Matroids and Lattice Paths', Vietnam Journal of Mathematics, vol. 50, no. 3, pp. 763-779. https://doi.org/10.1007/s10013-021-00546-z