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 denoteKv minus a 1-factor. In this article we investigate uniformly resolvabledecompositions of Kv and KvI into r classes containing only copies of3-stars and s classes containing only copies of 3-cycles. We completelydetermine the spectrum in the case where the number of resolutionclasses of 3-stars is maximum.