Decomposition of complete bipartite graphs into generalized prisms

R. Häggkvist proved that every 3-regular bipartite graph of order 2n with no component isomorphic to the Heawood graph decomposes the complete bipartite graph K _6n,6n. In (Cichacz and Fronček, 2009) [2] the first two authors established a necessary and sufficient condition for the existence of a factorization of the complete bipartite graph K _n,n into certain families of 3-regular graphs of order 2n. In this paper we tackle the problem of decompositions of K _n,n into certain 3-regular graphs called generalized prisms. We will show that certain families of 3-regular graphs of order 2n decompose the complete bipartite graph K _3n/12,3n/2.