The theory and application of latin bitrades: A survey

DOI10.2478/s12175-008-0103-2zbMath1199.05020OpenAlexW2007240170MaRDI QIDQ3548561

Nicholas J. Cavenagh

Publication date: 16 December 2008

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-008-0103-2

zbMATH Keywords

critical setpartial Latin squareLatin bitraderandom Latin square

Mathematics Subject Classification ID

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

Related Items

Latin squares with no transversals, Minimum supports of eigenfunctions of graphs: a survey, A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five, Critical sets of full \(n\)-Latin squares, Critical sets of 2-balanced Latin rectangles, Subcubic trades in Steiner triple systems, Orthogonal trades in complete sets of MOLS, On the simultaneous edge coloring of graphs, Lower bounds on the sizes of defining sets in full \(n\)-Latin squares and full designs, On the Distances between Latin Squares and the Smallest Defining Set Size, Switching in one-factorisations of complete graphs, On the cardinality spectrum and the number of Latin bitrades of order 3, To the theory of \(q\)-ary Steiner and other-type trades, Distances of group tables and Latin squares via equilateral triangle dissections, Growth rate of canonical and minimal group embeddings of spherical Latin trades, Eigenfunctions and minimum 1-perfect bitrades in the Hamming graph, Minimum supports of functions on the Hamming graphs with spectral constraints, Triangulations of the sphere, bitrades and abelian groups, Latin bitrades, dissections of equilateral triangles, and abelian groups, On the existence of \(3\)-way \(k\)-homogeneous Latin trades, Multi-Latin squares, On the number of transversals in Cayley tables of cyclic groups, The extended 1-perfect trades in small hypercubes, Geometrical structure and construction of latin trades, Latin Squares with a Unique Intercalate, Near-automorphisms of Latin squares, Latin trades in groups defined on planar triangulations, Mutually orthogonal binary frequency squares, Bounds for the size of a minimal 1-perfect bitrade in a Hamming graph

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