Latin trades in groups defined on planar triangulations

DOI10.1007/s10801-008-0165-9zbMath1203.05025arXiv0807.2707OpenAlexW3103724503MaRDI QIDQ1043843

Ian M. Wanless, Nicholas J. Cavenagh

Publication date: 9 December 2009

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

Full work available at URL: https://arxiv.org/abs/0807.2707

zbMATH Keywords

Latin squareabelian groupplanar triangulationLatin trade2 colorable planar triangulationsbitradesepareated connencted Latin bitrades

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items

Growth rates of groups associated with face 2-coloured triangulations and directed Eulerian digraphs on the sphere, An enumeration of equilateral triangle dissections, Small partial Latin squares that embed in an infinite group but not into any finite group, Distances of group tables and Latin squares via equilateral triangle dissections, Growth rate of canonical and minimal group embeddings of spherical Latin trades, Triangulations of the sphere, bitrades and abelian groups, Latin bitrades, dissections of equilateral triangles, and abelian groups

Cites Work

• The existence of Latin squares without orthogonal mates
• Latin bitrades derived from groups
• Pólya's permanent problem
• Planar Eulerian triangulations are equivalent to spherical Latin bitrades
• The theory and application of latin bitrades: A survey
• Latin bitrades, dissections of equilateral triangles, and abelian groups
• Latin squares with no small odd plexes
• Group Modifications of Some Partial Groupoids
• On a planar construction of quasigroups
• Hamming distances of groups and quasi-groups
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