Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing highly arc transitive digraphs using a layerwise direct
  product   We introduce a construction of highly arc transitive digraphs using a
layerwise direct product. This product generalizes some known classes of highly
arc transitive digraphs but also allows to construct new such. We use the
product to obtain counterexamples to a conjecture by Cameron, Praeger and
Wormald on the structure of certain highly arc transitive digraphs.

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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess