Decompositions of $\lambda K_n$ into LOE and OLE Graphs

Abstract

Hein and Sarvate show how to decompose $\lambda$ copies of a complete graph $K_n$, for some minimal value of $\lambda$, into so-called LOE and OLE graphs. In this paper, we will show that for all possible values of $\lambda$, the necessary conditions are sufficient for the LOE and OLE decompositions.