Uniformly resolvable (C4, K1,3)-designs of index 2

Abstract

In this paper we consider the uniformly resolvable decompositions of the complete graph λKV into subgraphs where each resolution class contains only blocks isomorphic to the same graph. We consider the cases in which all the resolution classes are either C4 or K1, 3. We prove that this type of system does not exist for A odd and determine completely the spectrum for A = 2.