An \(H_3\) graph is a multigraph on three vertices with double edges between two pairs of distinct vertices and a single edge between the third pair. In this paper, we decompose a complete multigraph \(2K_{10t}\) into \(H_3\) graphs.
Citation
Dinesh G.Sarvate, Li Zhang . Decomposition of a \(2K_{10t}\) into \(H_3\) Graphs[J], Ars Combinatoria, Volume 121. 315-319. .