Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Divergent permutations   Two permutations of the natural numbers diverge if the absolute value of the
difference of their elements in the same position goes to infinity. We show
that there exists an infinite number of pairwise divergent permutations of the
naturals. We relate this result to more general questions about the permutation
capacity of infinite graphs.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess