Cycle-regular graphs of (0,λ0,λ)-graph type

In this paper we study [3, 1, 6]-cycle-regular graphs, a subclass of the cycle-regular graphs   introduced by M. Mollard. These graphs are a generalization of (0,λ0,λ)-graphs introduced by H.M. Mulder. Amongst other we obtain a characterization of the subgraph induced by the two middle levels of a hypercube.