Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On permutation polytopes   A permutation polytope is the convex hull of a group of permutation matrices.
In this paper we investigate the combinatorics of permutation polytopes and
their faces. As applications we completely classify permutation polytopes in
dimensions 2,3,4, and the corresponding permutation groups up to a suitable
notion of equivalence. We also provide a list of combinatorial types of
possibly occuring faces of permutation polytopes up to dimension four.

12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th