Geodesic
Parity types, cycle structures and autotopisms of Latin squares
Daniel Kotlar1
1Department of Computer Science Tel-Hai College
The electronic journal of combinatorics, Tome 19 (2012) no. 3
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The parity type of a Latin square is defined in terms of the numbers of even and odd rows and columns. It is related to an Alon-Tarsi-like conjecture that applies to Latin squares of odd order. Parity types are used to derive upper bounds for the size of autotopy groups. A new algorithm for finding the autotopy group of a Latin square, based on the cycle decomposition of its rows, is presented, and upper bounds for the size of autotopy groups are derived from it.
DOI : 10.37236/2538
Classification : 05B15, 68R05
Mots-clés : Latin square, parity type, cycle structure, autotopy group

Daniel Kotlar  1

1 Department of Computer Science Tel-Hai College 
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Daniel Kotlar. Parity types, cycle structures and autotopisms of Latin squares. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2538

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