Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphical Cyclic Permutation Groups   We establish conditions for a permutation group generated by a single
permutation of a prime power order to be an automorphism group of a graph or an
edge-colored graph. This corrects and generalizes the results of the two papers
on cyclic permutation groups published in 1978 and 1981 by S. P. Mohanty, M. R.
Sridharan, and S. K. Shukla.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics