Abstract
A graph is called half-arc-transitive if its full automorphism group acts transitively on vertices and edges, but not on arcs. In this paper, we classify hexavalent half-arc-transitive graphs of order 9p for each prime p. As a result, there are four infinite families of such graphs: three defined on Zp⋊Z27 with 27|(p−1); one defined on Z3p⋊Z9 with 9|(p−1).
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