Bergman Complexes of Lattice Path Matroids
Emanuele Delucchi, Martin Dlugosch
TL;DR
This paper provides an explicit description of the cell poset of Bergman complexes for Lattice Path Matroids and introduces a criterion for their simpliciality based on the shape of bounding paths.
Contribution
It offers a new explicit characterization of Bergman complexes for Lattice Path Matroids and a criterion for their simpliciality.
Findings
Explicit description of the cell poset of Bergman complexes
Criterion for simpliciality based on bounding paths shape
Enhanced understanding of Lattice Path Matroids' geometric structure
Abstract
We give an explicit description of the poset of cells of Bergman complexes of Lattice Path Matroids and establish a criterion for its simpliciality, in terms of the shape of the bounding paths.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models