The spectrum of resolvable holey Mendelsohn triple systems and holey Mendelsohn frames with block size three

DOI10.1016/j.disc.2021.112596zbMath1485.05015OpenAlexW3194651318MaRDI QIDQ2231710

Zi Hong Tian, Yan-Ping Li, Li-Dong Wang

Publication date: 30 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112596

zbMATH Keywords

holey frameholey Mendelsohn frameresolvable holey Mendelsohn triple system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Distance in graphs (05C12) Triple systems (05B07) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• Resolvable decomposition of \(K^*_n\)
• Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\)
• RHPMDs and FHPMDs with \(k=4\) and type \(4^u\)
• Resolvable modified group divisible designs with block size three
• Modified frames with block size 3
• Resolvable Mendelsohn triple systems with equal sized holes
• Embeddings of resolvable mendelsohn triple systems

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