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Transversal This, Transversal That

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posted on 04.04.2019, 04:40 by DARCY GORDON BEST
Latin squares are two-dimensional patterns of symbols. Studied since the 18th century, they now find numerous applications in communication technologies and scheduling problems. A transversal is a balanced selection of symbols within a Latin square. In this thesis, we study the number of, existence of, and structure of transversals in Latin squares and similar objects. In certain sizes of squares, we prove that the number of transversals must be a multiple of four. We also find the first known bound on the number of symbols needed to guarantee the existence of a transversal.


Campus location


Principal supervisor

Ian Murray Wanless

Additional supervisor 1

Heiko Dietrich

Additional supervisor 2

Daniel Horsley

Year of Award


Department, School or Centre

Mathematical Sciences


Doctor of Philosophy

Degree Type



Faculty of Science