On parity vectors of Latin squares

DOI10.1007/s00373-010-0942-9zbMath1231.05034OpenAlexW1984268559MaRDI QIDQ605004

Terry S. Griggs, James G. Lefevre, Diane M. Donovan, Michael John Grannell

Publication date: 12 November 2010

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-010-0942-9

zbMATH Keywords

Latin squaregroupbiembeddingorientable surfaceparity vectorSteiner loopSteiner quasigroup

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items

Parity of sets of mutually orthogonal Latin squares, Parity of transversals of Latin squares

Cites Work

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• Quarter-regular biembeddings of Latin squares
• A constraint on the biembedding of Latin squares
• Genus embeddings for some complete tripartite graphs
• On biembeddings of Latin squares
• Some rigid Steiner 5-designs
• Self-embeddings of cyclic and projective Steiner quasigroups
• Recursive constructions for triangulations
• BIEMBEDDINGS OF LATIN SQUARES AND HAMILTONIAN DECOMPOSITIONS