On the Alspach conjecture
The Alspach conjecture for \(n\) odd and \(\sum m_i= n(n-1)/2\) is that \(K_n\) can be packed with cycles of lengths \(m_i\). For \(n\) even and \(\sum m_i= n(n-2)/2\), the conjecture is that \(K_n\) can be packed with cycles of lengths \(m_i\) and a \(1\)-factor. The author proves that if the \(m_i\) are bounded by a linear function of \(n\) and if \(n\) is sufficiently large, then the Aspach conjecture is valid.
scientific article; zbMATH DE number 1621384