Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Dominoes to Hexagons   There is a natural generalization of domino tilings to tilings of a polygon
by hexagons, or, dually, configurations of oriented curves that meet in
triples. We show exactly when two such tilings can be connected by a series of
moves analogous to the domino flip move. The triple diagrams that result have
connections to Legendrian knots, cluster algebras, and planar algebras.

18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg