Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 1234-avoiding permutations and Dyck paths   We define a map $\nu$ between the symmetric group $S_n$ and the set of pairs
of Dyck paths of semilength $n$. We show that the map $\nu$ is injective when
restricted to the set of 1234-avoiding permutations and characterize the image
of this map.

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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th