Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a new collection of words in the Catalan family   In this note, we provide a bijection between a new collection of words on
nonnegative integers of length n and Dyck paths of length 2n-2, thus proving
that this collection belongs to the Catalan family. The surprising key step in
this bijection is the zeta map which is an important map in the study of
q,t-Catalan numbers. Finally we discuss an alternative approach to this new
collection of words using two statistics on planted trees that turn out to be
closely related to the Tutte polynomial on the Catalan matroid.

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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
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The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex