Constructing highly arc transitive digraphs using a direct fibre product |
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| Authors: | Christoph Neumann |
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| Affiliation: | Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria |
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| Abstract: | We introduce a construction of highly arc transitive digraphs using a direct fibre product. This product generalizes some known classes of highly arc transitive digraphs but also allows us to construct new ones. We use the product to obtain counterexamples to a conjecture advanced by Cameron, Praeger and Wormald on the structure of certain highly arc transitive digraphs. |
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| Keywords: | 05C63 Highly arc transitive digraph Property Z Direct fibre product |
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