Constructions of perfect Mendelsohn designs

DOI10.1016/0012-365X(92)90264-GzbMath0756.05012OpenAlexW1994566808WikidataQ126409327 ScholiaQ126409327MaRDI QIDQ1197047

S. Singh

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0012-365x(92)90264-g

zbMATH Keywords

decompositionblocksMendelsohn designscomplete directed graphperfect design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Triple systems (05B07)

Related Items (22)

On the existence of perfect Mendelsohn designs with \(k=7\) and \(\lambda{}\) even ⋮ Existence of three HMOLS of type \(2^nu^{1}\) ⋮ The existence of \(( \nu,6, \lambda\) )-perfect Mendelsohn designs with \(\lambda > 1\) ⋮ Three mutually orthogonal idempotent Latin squares of orders 22 and 26 ⋮ Existence of three HMOLS of types \(h^ n\) and \(2^ n3^ 1\) ⋮ Super-simple twofold Steiner pentagon systems ⋮ The spectrum for 2-perfect 6-cycle systems ⋮ Existence of perfect Mendelsohn designs with \(k=5\) and \(\lambda{}>1\) ⋮ Super-simple Steiner pentagon systems ⋮ Holey Steiner pentagon systems and related designs ⋮ 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 nested designs with block size five ⋮ Mutually orthogonal Latin squares: A brief survey of constructions ⋮ Existence of 4-fold perfect \((v, \{5, 8\}, 1)\)-Mendelsohn designs ⋮ Perfect Mendelsohn designs with block size six ⋮ Holey Steiner pentagon systems ⋮ Perfect Mendelsohn designs with block size six ⋮ Almost resolvable perfect Mendelsohn designs with block size five ⋮ Existence of directed GDDs with block size five and index \(\lambda \geq 2\) ⋮ 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

• A short proof of the nonexistence of a pair of orthogonal Latin squares of order six
• Steiner pentagon systems
• Four MOLS of order 10 with a hole of order 2
• On sets of three mols with holes
• Generalized complete mappings, neofields, sequenceable groups and block designs. II
• Four pairwise orthogonal Latin squares of order 24
• An elliptic semiplane
• Resolvable perfect cyclic designs
• Perfect cyclic designs
• Concerning the number of mutually orthogonal latin squares
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