Constructing highly arc transitive digraphs using a layerwise direct product

Details Constructing highly arc transitive digraphs using a layerwise direct product Constructing highly arc transitive digraphs using a layerwise direct product

2011-11-04

arxiv.org/abs/1111.1075v2

Mathematics

Combinatorics

16 pages

Scientific paper

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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