Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizations of the associahedron and cyclohedron   We describe many different realizations with integer coordinates for the
associahedron (i.e. the Stasheff polytope) and for the cyclohedron (i.e. the
Bott-Taubes polytope) and compare them to the permutahedron of type A_n and B_n
respectively.
  The coordinates are obtained by an algorithm which uses an oriented Coxeter
graph of type A_n or B_n respectively as only input and which specialises to a
procedure presented by J.-L. Loday for a certain orientation of A_n. The
described realizations have cambrian fans of type A and B as normal fans. This
settles a conjecture of N. Reading for cambrian fans of these types.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn