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Combinatorics: Ancient and Modern$
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Robin Wilson and John J. Watkins

Print publication date: 2013

Print ISBN-13: 9780199656592

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199656592.001.0001

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Latin squares

Latin squares

Chapter:
(p.251) Chapter 11 Latin squares
Source:
Combinatorics: Ancient and Modern
Author(s):

LARS DøVLING ANDERSEN

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199656592.003.0012

A latin square of order n is an n × n array with entries from a set of n symbols, arranged in such a way that each symbol appears exactly once in each row and exactly once in each column. From this simple starting point, the theory of latin squares has developed into an interesting discipline in its own right, as well as an important tool in design theory in general.

Keywords:   latin square, array, design theory

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