Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism group of the modified bubble-sort graph   The modified bubble-sort graph of dimension $n$ is the Cayley graph of $S_n$
generated by $n$ cyclically adjacent transpositions. In the present paper, it
is shown that the automorphism group of the modified bubble sort graph of
dimension $n$ is $S_n \times D_{2n}$, for all $n \ge 5$. Thus, a complete
structural description of the automorphism group of the modified bubble-sort
graph is obtained. A similar direct product decomposition is seen to hold for
arbitrary normal Cayley graphs generated by transposition sets.

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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: eess