Fractional latin squares, simplex algebras, and generalized quotients

DOI10.1016/S0378-3758(99)00125-1zbMath0955.05018OpenAlexW2060711423MaRDI QIDQ1569869

Anthony J. W. Hilton, J. Keith Dugdale, Jerzy Wojciechowski

Publication date: 12 February 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(99)00125-1

zbMATH Keywords

simplexquasigroupslatin squaresquotientamalgamation

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Quadratic and bilinear forms, inner products (15A63) Algebraic structures (08A99)

Related Items (2)

Amalgamating infinite Latin squares ⋮ Latin squares, partial Latin squares and their generalized quotients

Cites Work

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• Hamiltonian decompositions of complete graphs
• Hamiltonian decompositions of complete regular s-partite graphs
• Amalgamations of almost regular edge-colourings of simple graphs
• A result on generalized Latin rectangles
• Generalized latin rectangles I: Construction and decomposition
• Generalized latin rectangles. II: Embedding
• The embedding of partial triple systems when 4 divides \(\lambda\)
• Another proof of a theorem concerning detachments of graphs
• Outline symmetric Latin squares
• Connected Detachments of Graphs and Generalized Euler Trails
• The reconstruction of latin squares with applications to school timetabling and to experimental design
• School Timetables
• Match-Tables
• Amalgamated Factorizations of Complete Graphs
• Embedding edge‐colorings into 2‐edge‐connected k‐factorizations of k_kn+1

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