Latin Squares with Restricted Transversals

DOI10.1002/jcd.21316zbMath1253.05046OpenAlexW2322205785MaRDI QIDQ3167100

Judith Egan, Ian M. Wanless

Publication date: 2 November 2012

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21316

zbMATH Keywords

orthogonal matebachelor squaredisjoint transversalstrransversal-free entries

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Transversal (matching) theory (05D15)

Related Items (8)

Covers and partial transversals of Latin squares ⋮ Longest partial transversals in plexes ⋮ Steiner Triple Systems with High Chromatic Index ⋮ Enumeration of Latin squares with conjugate symmetry ⋮ Monogamous latin squares ⋮ Indivisible partitions of Latin squares ⋮ Enumeration of MOLS of small order ⋮ Transversals of Latin squares and covering radius of sets of permutations

Cites Work

• Unnamed Item
• A generalization of plexes of Latin squares
• Indivisible partitions of Latin squares
• Latin squares without orthogonal mates
• The existence of Latin squares without orthogonal mates
• The number of transversals in a Latin square
• Indivisible plexes in Latin squares
• Monogamous latin squares
• Bachelor latin squares with large indivisible plexes
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Small latin squares, quasigroups, and loops
• Latin squares with no small odd plexes
• Transversals in Latin Squares
• On orthogonal Latin squares
• A generalization of transversals for Latin squares

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