Cycle-regular graphs of ()-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 , 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.