Howell designs with sub-designs

DOI10.1016/0097-3165(94)90024-8zbMath0795.05034OpenAlexW1975132094MaRDI QIDQ1320392

Esther R. Lamken, Jeffrey H. Dinitz

Publication date: 11 September 1994

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90024-8

zbMATH Keywords

Room squarelatin squaresarrayHowell designsub-designs

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (6)

Orthogonal one-factorizations of complete multipartite graphs ⋮ Optimal multiply constant-weight codes from generalized Howell designs ⋮ Towards the spectrum of Room squares with subsquares ⋮ Room square patterns ⋮ Howell designs with sub-designs ⋮ Scheduling CCRR tournaments

Cites Work

• The existence of Howell designs of even side
• Four MOLS of orders 20, 30, 38, and 44
• On Howell designs
• An even side analogue of Room squares
• The existence of skew Howell designs of side 2n and order \(2n+2\)
• Pairwise balanced designs with odd block sizes exceeding five
• Existence of orthogonal Latin squares with aligned subsquares
• Doubly resolvable designs
• On the existence of frames
• The existence of Howell designs of odd side
• More mutually orthogonal latin squares
• Towards the spectrum of Room squares with subsquares
• The existence of Room squares
• Balanced incomplete block designs and related designs
• Howell designs with sub-designs
• Constructions for generalized balanced tournament designs
• HOPs and COPs: Room frames with partitionable transversals
• The existence of 3 orthogonal partitioned incomplete Latin squares of type \(t^ n\)
• A Hill-Climbing Algorithm for the Construction of One-Factorizations and Room Squares
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• An Existence Theorem for Room Squares*
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