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Quarter-regular biembeddings of Latin squares |
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| Authors: | D.M. Donovan M.J. Grannell T.S. Griggs |
| Affiliation: | a Centre for Discrete Mathematics and Computing, University of Queensland, St. Lucia 4072, Australia b Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Praha 8, Czech Republic c Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom |
| Abstract: | We apply a recursive construction for biembeddings of Latin squares to produce a new infinite family of biembeddings of cyclic Latin squares of even side having a high degree of symmetry. Reapplication of the construction yields two further classes of biembeddings. |
| Keywords: | Biembedding Latin square Orientable surface Regular embedding Transversal design |
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