In this paper, it has been proved that \(K_{r,r} \times K_{m}\), \(m \geq 3\), is hamiltonian decomposable.
Citation
R.S. Manikandan, P. Paulraja. Hamiltonian Decompositions of the Tensor Product of a Complete Graph and a Complete Bipartite Graph[J], Ars Combinatoria, Volume 080. 33-44. .