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arXiv · 1911.12290

Standard complexes of matroids and lattice paths

Alexander Engström·Raman Sanyal·Christian Stump
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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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Alexander Engström, Raman Sanyal, Christian Stump. 2019-11-27. Standard complexes of matroids and lattice paths. https://arxiv.org/abs/1911.12290

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