Constructing highly arc transitive digraphs using a layerwise direct product
classification
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keywords
digraphshighlyproducttransitivedirectlayerwiseallowscameron
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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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