Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new encoding of permutations by Laguerre histories   We construct a bijection from permutations to some weighted Motzkin paths
known as Laguerre histories. As one application of our bijection, a neat
$q$-$\gamma$-positivity expansion of the $(\inv,\exc)$-$q$-Eulerian polynomials
is obtained.

20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int