In this paper, we find necessary and sufficient conditions for the existence of a \(6\)-cycle system of \(K_n – E(R)\) for every \(2\)-regular, not necessarily spanning subgraph \(R\) of \(K_n\).
Citation
D.J. Ashe, C.A. Rodger, H.L. Fu. All \(2\)-Regular Leaves of Partial \(6\)-Cycle Systems[J], Ars Combinatoria, Volume 076. 129-150. .