2 papers
nlin.CD2025
Hamiltonian Triplet Interactions: Areal and Perimetric Forces
J. D. Meiss
Gravitational and electromagnetic interactions are Hamiltonian systems with forces between pairs of particles. We propose an alternative: Hamiltonian dynamics with triplet interact…
math.CO2025
Almost every Latin square has a decomposition into transversals
Candida Bowtell, Richard Montgomery
In 1782, Euler conjectured that no Latin square of order has a decomposition into transversals. While confirmed for by Tarry in 1900, Bose, Par…