Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algorithm that constructs irreducible triangulations of
  once-punctured surfaces   A triangulation of a surface is irreducible if there is no edge whose
contraction produces another triangulation of the surface. In this work we
propose an algorithm that constructs the set of irreducible triangulations of
any surface with precisely one boundary component. By implementing the
algorithm on computer, we have found a list of 297 nonisomorphic combinatorial
types of irreducible triangulations on the once-punctured torus.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph