The directed Oberwolfach problem with variable cycle lengths: a recursive construction

Autor: Kadri, Suzan, Šajna, Mateja
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: The directed Oberwolfach problem OP$^\ast(m_1,\ldots,m_k)$ asks whether the complete symmetric digraph $K_n^\ast$, assuming $n=m_1+\ldots +m_k$, admits a decomposition into spanning subdigraphs, each a disjoint union of $k$ directed cycles of lengths $m_1,\ldots,m_k$. We hereby describe a method for constructing a solution to OP$^\ast(m_1,\ldots,m_k)$ given a solution to OP$^\ast(m_1,\ldots,m_\ell)$, for some $\ell
Databáze: arXiv