Crown-free highly arc-transitive digraphs
Daniela A. Amato, JOHN KENNETH TRUSS · Forum Mathematicum · 2010
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 $Z$ . The methods are adapted from [6] and [7].