Decomposing \(k\)-arc-strong tournaments into strong spanning subdigraphs
The Kelly conjecture states that every regular tournament on \(2k+1\) vertices has a decomposition into \(k\) arc-disjoint Hamiltonian cycles. The authors formulate a generalization of this conjecture, i.e., every \(k\)-arc-strong tournament contains \(k\) arc-disjoint spanning strong subdigraphs. Several results supporting this conjecture are proved.
scientific article; zbMATH DE number 2186321