A note on uniformly resolvable decompositions of Kv and Kv-I into 2-stars and 4-cycles

In this paper we consider the uniformly resolvable decomposition of the complete graph Kv, or the complete graph minus a 1-factor Kv − I, into two graphs such that each resolution class contains only blocks isomorphic to the same graph. We completely solve the case in which the resolution classes are either all 2-stars or 4-cycles.