Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstructing a non-simple polytope from its graph   A well-known theorem of Blind and Mani says that every simple polytope is
uniquely determined by its graph. Kalai gave a very short and elegant proof of
this result using the concept of acyclic orientations. As it turns out, Kalai's
proof can be suitably generalized without much effort. We apply our results to
a special class of cubical polytopes.

37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex