On the existence of perfect Mendelsohn designs with \(k=7\) and \(\lambda{}\) even

DOI10.1016/0012-365X(93)90505-NzbMath0788.05004OpenAlexW1982062464MaRDI QIDQ2366007

Jianxing Yin, Frank E. Bennett, Lie Zhu

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90505-n

zbMATH Keywords

blocksperfectMendelsohn design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (8)

The existence of \(( \nu,6, \lambda\) )-perfect Mendelsohn designs with \(\lambda > 1\) ⋮ Special issue: 2nd Shanghai conference on designs, codes and finite geometries. Shanghai Jiao Tong Univ., Shanghai, China, May 14--18, 1996 ⋮ Recent progress on the existence of perfect Mendelsohn designs ⋮ Existence of 4-fold perfect \((v, \{5, 8\}, 1)\)-Mendelsohn designs ⋮ Perfect Mendelsohn designs with block size six ⋮ Perfect Mendelsohn designs with block size six ⋮ Existence of \(r\)-fold perfect \((v,K,1)\)-Mendelsohn designs with \(K\subseteq \{4,5,6,7\}\) ⋮ The existence of perfect Mendelsohn designs with block size 7

Cites Work

• On sets of three mols with holes
• Generalized complete mappings, neofields, sequenceable groups and block designs. II
• Resolvable perfect cyclic designs
• On the existence of doubly resolvable Kirkman systems and equidistant permutation arrays
• Existence of perfect Mendelsohn designs with \(k=5\) and \(\lambda{}>1\)
• Constructions of perfect Mendelsohn designs
• Balanced incomplete block designs and related designs
• Perfect cyclic designs
• Resolvable balanced incomplete block designs with block size 8
• BIBD's with block-size seven
• Finite bases for some PBD-closed sets
• Mols with holes
• On the existence of (v,7,1)-perfect Mendelsohn designs
• Direct Constructions for Perfect 3-Cyclic Designs
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