R.M. Falcón

most cited0/1-Polytopes related to Latin squares autotopisms

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2011★ 2 cited

0/1-Polytopes related to Latin squares autotopisms

R. M. Falcón

The set LS(n) of Latin squares of order $n$ can be represented in $R^{n^{3}}$ as a $(n - 1)^{3}$ -dimensional 0/1-polytope. Given an autotopism $Θ = (α, β, γ) \in A_{n}$ , we s…

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 $n$ and the set of feasible solutions of the 3-dimensional planar assignment problem ( $3 P A P_{n}$ ). In this paper, w…