Constructing highly arc transitive digraphs using a layerwise direct product
Combinatorics
2011-11-10 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1111.1075,
title = {Constructing highly arc transitive digraphs using a layerwise direct product},
author = {Christoph Neumann},
journal= {arXiv preprint arXiv:1111.1075},
year = {2011}
}
Comments
16 pages