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Transversals in Latin Squares

Published online by Cambridge University Press:  23 May 2024

By
Richard Montgomery
Edited by
Felix Fischer  and
Robert Johnson
Felix Fischer
Affiliation:
Queen Mary University of London
Robert Johnson
Affiliation:
Queen Mary University of London
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Summary

A Latin square is an n by n grid filled with n symbols so that each symbol appears exactly once in each row and each column. A transversal in a Latin square is a collection of cells which do not share any row, column, or symbol. This survey will focus on results from the last decade which have continued the long history of the study of transversals in Latin squares.

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Chapter
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Surveys in Combinatorics 2024 , pp. 131 - 158
Publisher: Cambridge University Press
Print publication year: 2024

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