Orthogonal projection and liftings of Hamilton-decomposable Cayley graphs on abelian groups

In this article we introduce the concept of (p, α) -switching trees and use it to provide sufficient conditions on the abelian groups G and H for when CAY (G × H; S⊆B) is Hamilton-decomposable, given that CAY (G; S) is Hamilton-decomposable and B is a basis for H. Applications of this result to elementary abelian groups and Paley graphs are given. © 2013 Elsevier B.V. All rights reserved