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Cycle Switches in Latin Squares

Wanless, Ian

Description

Cycle switches are the simplest changes which can be used to alter latin squares, and as such have found many applications in the generation of latin squares. They also provide the simplest examples of latin interchanges or trades in latin square designs. In this paper we construct graphs in which the vertices are classes of latin squares. Edges arise from switching cycles to move from one class to another. Such graphs are constructed on sets of isotopy or main classes of latin squares for...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/88725
Source: Graphs and Combinatorics
DOI: 10.1007/s00373-004-0567-7

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