Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number of Triangulations of a M\"obius Strip   Consider a M\"obius strip with $n$ chosen points on its edge. A triangulation
is a maximal collection of arcs among these points and cuts the strip into
triangles. In this paper, we proved the number of all triangulations that one
can obtain from a M\"obius strip with $n$ chosen points on its edge is given by
$4^{n-1}+\binom{2n-2}{n-1}$, then we made the connection with the number of
clusters in the quasi-cluster algebra arising from the M\"obius strip.

16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: bayes-an