1School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
2School of Mathematics, University of Leeds, Leeds LS2 9JT, UK
Citation Information:
Forum Mathematicum.
Volume 24, Issue 1, Pages 161–175, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741,
DOI: 10.1515/form.2011.055,
January 2012
Publication History:
Received: 18/05/2009;
Revised: 26/02/2010;
Published Online: 27/02/2012
Abstract.
We construct a family of infinite, non-locally finite highly arc-transitive digraphs which do
not have universal reachability relation and which omit special digraphs called `crowns'. Moreover, there
is no homomorphism from any of our digraphs onto
Z. The methods are adapted from [6] and [7].
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