Sectionable terraces and the (generalised) Oberwolfach problem
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Publication:1810660
DOI10.1016/S0012-365X(02)00822-1zbMath1020.05058OpenAlexW2040666115MaRDI QIDQ1810660
Publication date: 9 June 2003
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0012-365x(02)00822-1
terraceHamiltonian decomposition2-sequencingsymmetric sequencingLucas-Walecki constructioncircuit Rees neighbour designround-dance neighbur design
Related Items (9)
On the Oberwolfach problem for single-flip 2-factors via graceful labelings ⋮ A complete solution to the two-table Oberwolfach problems ⋮ 2‐Starters, Graceful Labelings, and a Doubling Construction for the Oberwolfach Problem ⋮ Some da capo directed power-sequence \(\mathbb Z _{n+1}\) terraces with \(n\) an odd prime power ⋮ On the Hamilton‐Waterloo Problem for Bipartite 2‐Factors ⋮ Cyclic uniform 2-factorizations of the complete multipartite graph ⋮ From graceful labellings of paths to cyclic solutions of the Oberwolfach problem ⋮ On terraces for Abelian groups. ⋮ The structure of 2-pyramidal 2-factorizations
Cites Work
- Some results on the Oberwolfach problem. (Decomposition of complete graphs into isomorphic quadratic factors.)
- On the Oberwolfach problem for complete multigraphs
- Round-dance neighbour designs from terraces
- Power-sequence terraces for \({\mathbb Z}_n\) where \(n\) is an odd prime power
- A product theorem for 2-sequencings
- Some repeated measurements designs
- Every finite solvable group with a unique element of order two, except the quaternion group, has a symmetric sequencing
- Regular Oberwolfach problems and group sequencings
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