Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tropical convex hulls of polyhedral sets   In this paper we focus on the tropical convex hull of convex sets and
polyhedral complexes. We give a vertex description of the tropical convex hull
of a line segment and a ray. %in \RR^{n+1}/\RR\mathbf{1}.
  Next we show that tropical convex hull and ordinary convex hull commute in
two dimensions and characterize tropically convex polyhedra in any dimension.
%$\mathbb{R}^3/\mathbb {R}\mathbf{1}$.
  Finally we show that the dimension of a tropically convex fan depends on the
coordinates of its rays and give a lower bound on the degree of a fan tropical
curve using only tropical techniques.

32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th