On uniformly resolvable (C4, K1,3)-designs

Abstract

In this paper, we consider the uniformly resolvable decom-positions of the complete graph K-v minus a 1-factor (K-v - I) into sub -graphs where each resolution class contains only blocks isomorphic to the same graph. We completely determine the spectrum for the case in which all the resolution classes consist of either 4-cycles or 3-stars.