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math.CO2025
Multidimensional quadrangle condition and cuboctahedra in latin hypercubes
Anna A. Taranenko
The well-known quadrangle criterion states that a latin square is isotopic to the Cayley table of a group if and only if all quadrangles spanned by the same triple of symbols coinc…
math.CO2025
Enumeration and constructions of vertices of the polytope of polystochastic matrices
Anna A. Taranenko
A multidimensional nonnegative matrix is called polystochastic if the sum of entries in each of its lines equals . The set of all polystochastic matrices of order and dimens…