Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sign matrix polytopes from Young tableaux   Motivated by the study of polytopes formed as the convex hull of permutation
matrices and alternating sign matrices, we define several new families of
polytopes as convex hulls of sign matrices, which are certain {0,1,-1}-matrices
in bijection with semistandard Young tableaux. We investigate various
properties of these polytopes, including their inequality descriptions,
vertices, facets, and face lattices, as well as connections to alternating sign
matrix polytopes and transportation polytopes.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an