1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.CO2024
Characterization of polystochastic matrices of order with zero permanent
A. L. Perezhogin, V. N. Potapov, A. A. Taranenko +1
A multidimensional nonnegative matrix is called polystochastic if the sum of its entries over each line is equal to . The permanent of a multidimensional matrix is the sum of pr…
math.CO2023★ 1 cited
Every latin hypercube of order 5 has transversals
A. L. Perezhogin, V. N. Potapov, S. Yu. Vladimirov
We prove that for all n>1 every latin n-dimensional cube of order 5 has transversals. We find all 123 paratopy classes of layer-latin cubes of order 5 with no transversals. For eac…