Hamilton cycles in prisms

Abstract

The prism over a graph G is the Cartesian product G □ K₂ of G with the complete graph K₂. If G is hamiltonian, then G□K₂ is also hamiltonian but the converse does not hold in general. Having a hamiltonian prism is shown to be an interesting relaxation of being hamiltonian. In this article, we examine classical problems on hamiltonicity of graphs in the context of having a hamiltonian prism. © 2007 Wiley Periodicals, Inc. J Graph Theory 56: 249–269, 2007