Matroids from hypersimplex splits
arXiv:1607.06291 · doi:10.1016/j.jcta.2017.05.001
Abstract
A class of matroids is introduced which is very large as it strictly contains all paving matroids as special cases. As their key feature these split matroids can be studied via techniques from polyhedral geometry. It turns out that the structural properties of the split matroids can be exploited to obtain new results in tropical geometry, especially on the rays of the tropical Grassmannians.
28 pages, 2 figures, 3 tables - major revision, a wrong corollary has been removed
References in corpus (2)
Cited by in corpus (14)
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