3 papers
math.CO2026
N-ary groups of panmagic permutations from the Post coset theorem
Sergiy Koshkin, Jaeho Lee
Panmagic permutations are permutations whose matrices are panmagic squares, better known as solutions to the modular n-queens problem, configurations of n non-attacking queens on a…
math.CO2026
Panmagic permutations and N-ary groups
Sergiy Koshkin, Jaeho Lee
Panmagic permutations are permutations whose matrices are panmagic squares. Positions of 1-s in the latter describe maximal configurations of non-attacking queens on a toroidal che…
math.LO2026
Functional completeness and primitive positive decomposition of relations on finite domains
Sergiy Koshkin
We give a new and elementary construction of primitive positive decomposition of higher arity relations into binary relations on finite domains. Such decompositions come up in appl…