Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-splits and tropical linear spaces from nested matroids   In this paper we present an explicit combinatorial description of a special
class of facets of the secondary polytopes of hypersimplices. These facets
correspond to polytopal subdivisions called multi-splits. We show a relation
between the cells in a multi-split of the hypersimplex and nested matroids.
Moreover, we get a description of all multi-splits of a product of simplices.
Additionally, we present a computational result to derive explicit lower bounds
on the number of facets of secondary polytopes of hypersimplices.

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat