Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on the recurrence and transience of non-backtracking random
  walks   A short proof of the equivalence of the recurrence of non-backtracking random
walk and that of simple random walk on regular infinite graphs is given. It is
then shown how this proof can be extended in certain cases where the graph in
question is not regular.

13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org