Embedding an incomplete diagonal latin square in a complete diagonal latin square

DOI10.1016/S0097-3165(73)80001-9zbMath0277.05009MaRDI QIDQ1393401

Anthony J. W. Hilton

Publication date: 1973

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

Mathematics Subject Classification ID

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

Related Items

Vertex-distinguishing proper arc colorings of digraphs, On the separation power and the completion of partial latin squares, On the separation power and the completion of partial latin squares, On embedding incomplete symmetric Latin squares, Completing a solution of the embedding problem for incomplete idempotent Latin squares when numerical conditions suffice, Embedding incomplete double diagonal latin squares, A finite partial idempotent latin cube can be embedded in a finite idempotent latin cube, Intersection preserving finite embedding theorems for partial quasigroups, Embedding an incomplete latin square in a latin square with a prescribed diagonal, Generalized Hilton construction for embedding d-ary quasigroups

Cites Work

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• Embedding partial idempotent Latin squares
• The completion of finite incomplete Steiner triple systems with applications to loop theory
• Embedding Incomplete Latin Squares
• A Combinatorial Theorem with an Application to Latin Rectangles
• An existence theorem for latin squares