Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On flow polytopes, order polytopes, and certain faces of the alternating
  sign matrix polytope   In this paper we study an alternating sign matrix analogue of the
Chan-Robbins-Yuen polytope, which we call the ASM-CRY polytope. We show that
this polytope has Catalan many vertices and its volume is equal to the number
of standard Young tableaux of staircase shape; we also determine its Ehrhart
polynomial. We achieve the previous by proving that the members of a family of
faces of the alternating sign matrix polytope which includes ASM-CRY are both
order and flow polytopes. Inspired by the above results, we relate three
established triangulations of order and flow polytopes, namely Stanley's
triangulation of order polytopes, the Postnikov-Stanley triangulation of flow
polytopes and the Danilov-Karzanov-Koshevoy triangulation of flow polytopes. We
show that when a graph $G$ is a planar graph, in which case the flow polytope
$F_G$ is also an order polytope, Stanley's triangulation of this order polytope
is one of the Danilov-Karzanov-Koshevoy triangulations of $F_G$. Moreover, for
a general graph $G$ we show that the set of Danilov-Karzanov-Koshevoy
triangulations of $F_G$ is a subset of the set of Postnikov-Stanley
triangulations of $F_G$. We also describe explicit bijections between the
combinatorial objects labeling the simplices in the above triangulations.

17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex