The spectrum of Room cubes

DOI10.1016/S0195-6698(81)80029-7zbMath0531.05014OpenAlexW1964435454WikidataQ106039425 ScholiaQ106039425MaRDI QIDQ787986

Douglas R. Stinson, Jeffrey H. Dinitz

Publication date: 1981

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(81)80029-7

zbMATH Keywords

Room squareRoom cube

Mathematics Subject Classification ID

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

Related Items (8)

Designs with mutually orthogonal resolutions ⋮ The existence of Room 5-cubes ⋮ On resolvable designs \(S_ 3(3;4,v)\) ⋮ Pairwise balanced designs with odd block sizes exceeding five ⋮ Starter labelling of \(k\)-windmill graphs with small defects ⋮ A note on strong Skolem starters ⋮ Orthogonal starters in finite abelian groups ⋮ On strong starters in cyclic groups

Cites Work

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• A generalization of the singular direct product with applications to skew room squares
• Room designs and one-factorizations
• The existence of Room squares
• Concerning the number of mutually orthogonal latin squares
• Quintuplication of Room squares
• Some Results on the Existence of Squares
• A Fast Algorithm for Finding Strong Starters
• Construction of Room Squares
• An Existence Theorem for Room Squares*
• On the number of orthogonal latin squares

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