Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supporting Ruled Polygons   We explore several problems related to ruled polygons. Given a ruling of a
polygon $P$, we consider the Reeb graph of $P$ induced by the ruling. We define
the Reeb complexity of $P$, which roughly equates to the minimum number of
points necessary to support $P$. We give asymptotically tight bounds on the
Reeb complexity that are also tight up to a small additive constant. When
restricted to the set of parallel rulings, we show that the Reeb complexity can
be computed in polynomial time.

7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph