Maximum uniformly resolvable decompositions of Kv and Kv−I into 3-stars and 3-cycles

Let Kv denote the complete graph of order v and Kv−I denote Kv minus a 1-factor. In this article we investigate uniformly resolvable decompositions of Kv and Kv−I into r classes containing only copies of 3-stars and s classes containing only copies of 3-cycles. We completely determine the spectrum in the case where the number of resolution classes of 3-stars is maximum.