More results on cycle frames and almost resolvable cycle systems

DOI10.1016/J.DISC.2012.08.002zbMath1252.05096OpenAlexW2001036152MaRDI QIDQ713167

Meixin Niu, Haitao Cao

Publication date: 26 October 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2012.08.002

zbMATH Keywords

cycle framecycle group divisible designalmost resolvable cycle system

Mathematics Subject Classification ID

Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Designs and configurations (05B99)

Related Items (8)

Cycle Frames of Complete Multipartite Multigraphs - III ⋮ Almost resolvable maximum packings of complete graphs with 5-cycles ⋮ Unnamed Item ⋮ Resolvable cycle decompositions of complete multigraphs and complete equipartite multigraphs via layering and detachment ⋮ Completing the spectrum of almost resolvable cycle systems with odd cycle length ⋮ Further results on almost resolvable cycle systems and the Hamilton–Waterloo problem ⋮ Cycle frames and the Oberwolfach problem ⋮ Fair holey Hamiltonian decompositions of complete multipartite graphs and long cycle frames

Cites Work

• On the existence of cycle frames and almost resolvable cycle systems
• Hanani triple systems
• Frames for Kirkman triple systems
• The Oberwolfach problem and factors of uniform odd length cycles
• Cycle decompositions of \(K_n\) and \(K_n-I\)
• The equipartite Oberwolfach problem with uniform tables
• Cycle decompositions III: Complete graphs and fixed length cycles
• Almost resolvable cycle systems-an analogue of Hanani triple systems
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