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math.CO2011★ 27 cited
The set of autotopisms of partial Latin squares
R. M. Falcón
Symmetries of a partial Latin square are determined by its autotopism group. Analogously to the case of Latin squares, given an isotopism , the cardinality of the set $\mathcal{…
math.CO2011★ 1 cited
Designs based on the cycle structure of a Latin square autotopism
R. M. Falcón
Latin squares have been historically used in order to create statistical designs in which, starting from a small number of experiments, it can be obtained a large experimental spac…
math.CO2011★ 1 cited
The 3-dimensional planar assignment problem and the number of Latin squares related to an autotopism
R. M. Falcón, J. Martín-Morales
There exists a bijection between the set of Latin squares of order and the set of feasible solutions of the 3-dimensional planar assignment problem (). In this paper, w…