Article ID Journal Published Year Pages File Type
4652930 Electronic Notes in Discrete Mathematics 2007 5 Pages PDF
Abstract

We disclaim Conjecture 1 posed by Seifter in [N. Seifter, Transitive digraphs with more than one end, Discrete Math., to appear], that stated that a connected locally finite digraph with more than one end is either 0-, 1- or highly arc transitive. We describe in this work an infinite family of 2-arc transitive two-ended digraphs, that are not 3-arc transitive.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics