Uniformly resolvable decompositions of $K_v-I$ into $5$-stars

Abstract

We consider the existence problem of uniformly resolvable decompositions of $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph. We give a complete solution for the case in which one resolution class is $K_2$ and the rest are $K_{1,5}$.

30 pages, 2 figures