Small embeddings of partial directed cycle systems

DOI10.1017/S0004972700011850zbMath0755.05071OpenAlexW2156382838MaRDI QIDQ3993947

C. A. Rodger, Charles C. Lindner

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700011850

zbMATH Keywords

idempotent latin squaresAndersen-Hilton-Rodger theorempartial directed cycle systemssmall embeddings

Mathematics Subject Classification ID

Paths and cycles (05C38) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items

Six-cycle systems

Cites Work

• Embedding partial Mendelsohn triple systems
• A Hamiltonian decomposition of \(K^*_{2m},2m\geq 8\)
• Decomposition of K//(m,n)(K*//(m,n)) into cycles (circuits) of length 2k
• Finite partial cyclic triple systems can be finitely embedded
• Small Embeddings for Partial Semisymmetric and Totally Symmetric Quasigroups
• A Solution to the Embedding Problem for Partial Idempotent Latin Squares
• An existence theorem for latin squares