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Publication Date:
19 01 2012
ISSN:
1435-5337
DOI:
10.1515/form.2011.055

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Managing Editor: Ranicki, Andrew

null Brüdern, Jörg / Bruinier, Jan Hendrik / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Gallavotti, Giovanni / Garnier, Josselin / Neeb, Karl-Hermann / Noguchi, Junjiro / Segal, Dan / Freydoon, Shahidi / Shigekawa, Ichiro / Sogge, Christopher D. / Strambach, Karl

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Crown-free highly arc-transitive digraphs

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].

Keywords.: Digraph; arc-transitive; crown; amalgamation

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