Results 61 to 70 of about 104 (81)
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Modular properties and decompositions of arithmetic matroids
2017In this thesis, we introduce the concepts of Z-closure operators and Z-flat lattices of arithmetic matroids, and show that for a representable arithmetic matroid, the characteristic polynomial of the associated toric arrangement is equal to the characteristic polynomial of the associated Z-flat at lattice.
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Arithmetic matroids and an application to number theory
Matroids are combinatorial structures that abstract the notion of linear independence on finite sets. In their most famous examples they closely connect finite dimensional linear algebra with graph theory. In applications they are mostly regarded together with their most important invariant: the Tutte polynomial T (x, y).openaire +1 more source
A Weighted Linear Matroid Parity Algorithm
SIAM Journal on Computing, 2022Satoru Iwata, Yusuke Kobayashi
exaly
Matroid Polytopes and their Volumes
Discrete and Computational Geometry, 2009Federico Ardila +2 more
exaly
The Projectivization Matroid of a \(\boldsymbol{q}\) -Matroid
SIAM Journal on Applied Algebra and Geometry, 2023exaly
The Bergman complex of a matroid and phylogenetic trees
Journal of Combinatorial Theory Series B, 2006Federico Ardila, Caroline J Klivans
exaly