Generalized latin rectangles I: Construction and decomposition

DOI10.1016/0012-365X(80)90030-8zbMath0443.05019OpenAlexW2040888783MaRDI QIDQ1144022

Anthony J. W. Hilton, Lars Døvling Andersen

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0012-365x(80)90030-8

zbMATH Keywords

edge-colouringlatin rectangle

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Coloring of graphs and hypergraphs (05C15)

Related Items (16)

Hamiltonian decompositions of complete regular s-partite graphs ⋮ Generalized Latin squares. II ⋮ Semi-Latin squares ⋮ Embedding an edge-colored \(K(a^{(p)};\lambda,\mu)\) into a Hamiltonian decomposition of \(K(a^{(p+r)};\lambda,\mu)\) ⋮ A result on generalized Latin rectangles ⋮ Centrally symmetric and magic rectangles ⋮ Amalgamated Factorizations of Complete Graphs ⋮ On the number of edge-disjoint one factors and the existence of \(k\)-factors in complete multipartite graphs ⋮ Character groups of dihedral and generalized quaternion groups ⋮ The embedding of partial triple systems when 4 divides \(\lambda\) ⋮ Outline symmetric Latin squares ⋮ Detachments of Amalgamated 3‐Uniform Hypergraphs Factorization Consequences ⋮ General balance and treatment permutations ⋮ Generalized Latin squares. I ⋮ Fractional latin squares, simplex algebras, and generalized quotients ⋮ Hamiltonian decompositions of complete graphs

Cites Work

• The reconstruction of latin squares with applications to school timetabling and to experimental design
• On A Particular Conference Scheduling Problem
• The Solution of a Timetabling Problem
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