Published online by Cambridge University Press: 14 October 2011
We characterise regular bipartite locally primitive graphs of order 2pe, where p is prime. We show that either p=2 (this case is known by previous work), or the graph is a binormal Cayley graph or a normal cover of one of the basic locally primitive graphs; these are described in detail.
This work forms part of the PhD project of the second-named author, partially supported by an NNSF(K1020261), and an ARC Discovery Grant.